I MAKE U BRAINLIEST solve for x

I MAKE U BRAINLIEST Solve For X

Answers

Answer 1

Answer:  9

Step-by-step explanation:

The angle is 1/2 of the arc angle

Since the tangent line is a line, I know the angle on the other side of 78 is

180-78 = 102

That angle, 102, is 1/2 the arc angle

102  = 1/2 (23x -3)                 > multiply both sides by 2

204 =  23x -3                        > add 3 to both sides

207 = 23x                             >divide both sides by 23

x=9

Answer 2
Answer is 9

Source trust me bro

Related Questions

A fair 6-sides die is rolled 550 times. What is a reasonable prediction for the number of times the event of landing on an even number?

Answers

The prediction for the number of times the event of landing on an even number in 550 rolls is 275

Estimating the reasonable prediction

From the question, we have the following parameters that can be used in our computation:

The number of times = 550

The sample space of a fair 6-sided die is

S = {1, 2, 3, 4, 5, 6}

And as such the even numbers are

Even = {2, 4, 6}

This means that in a fair 6-sided die, we have

P(Even) = 3/6

When evaluated, we have

P(Even) = 1/2

So, when the die is rolled 550 times, we have

Expected value = 1/2 * 550

Evaluate

Expected value = 275

Hence, the number of times is 275

Read more about expected value at

brainly.com/question/15858152

#SPJ1

The table shows nutrients information for three beverages.

a: which has the most calories per fluid ounce?

b: which has the least sodium per fluid ounce?

bevarage/ serving size/ calorie/ sodium
whole milk/ 1 c/ 146/ 98mg
orange juice/ 1 pt/ 210/ 10mg
apple juice/ 24 fl oz./ 351/ 21mg

Answers

Answer:

a) apple juice

b) whole milk

easy pagel

Simplify this equation

Answers

Answer:

(d)

Step-by-step explanation:

Given y = 4x² + 3x, find dy/dt when x= -1 and dx/dt = 3(Simplify your answer.)

Answers

Given the function y = 4x² + 3x, we will find dy/dt by differentiating y with respect to t. Therefore, the value of dy/dt is -15.

Using the chain rule, we have:

dy/dt = (dy/dx)(dx/dt)

Differentiating y with respect to x, we get:

dy/dx = 8x + 3

Now, we are given that x = -1 and dx/dt = 3. We can substitute these values into our equation:

dy/dt = (8(-1) + 3)(3)

dy/dt = (-5)(3)

dy/dt = -15

So, when x = -1 and dx/dt = 3, the value of dy/dt is -15.

Visit here to learn more about the Differentiable function:

brainly.com/question/15185509

#SPJ11

f(x)=-x^(2)-8x+19

1.whats the functions minimum value?

2.where does the minimum value occur?

Answers

The minimum value of the function is -13 and the minimum value of the function occurs at the point (4, -13).

The function F(x) is a quadratic function with a negative coefficient of the squared term.

Therefore, the function has a maximum value.

To find the maximum value, we need to find the vertex of the parabola.

The x-coordinate of the vertex is given by x = -b/2a, where a and b are the coefficients of the x² and x terms respectively.

In this case, a = -1 and b = -8, so x = -(-8)/(2(-1)) = 4.

To find the minimum value, we substitute this x-value into the function to get F(4) = -(4²) - 8(4) + 19 = -13.

Therefore, the minimum value of the function is -13.

We found in part (1) that the x-coordinate of the vertex is x = 4.

To find the y-coordinate, we substitute this x-value into the function to get F(4) = -13.

Therefore, the minimum value of the function occurs at the point (4, -13).

To learn more on Functions click:

https://brainly.com/question/30721594

#SPJ1

KLM has vertices K 4,-5 L 2,2 and M 7,3 which translation move the triangle so that point K lies on the Y axis

Answers

To move triangle KLM so that point K lies on the Y-axis, you need to apply a translation that shifts the entire triangle horizontally. By translating triangle KLM using the vector (-4, 0), point K now lies on the Y-axis.

To move the triangle so that point K lies on the Y axis, we need to perform a translation. First, we need to determine how far point K is from the Y axis. We can do this by finding the x-coordinate of point K, which is 4. This means that point K is 4 units away from the Y axis.

Next, we need to determine the direction of the translation. Since we want to move point K onto the Y axis, we need to move the triangle in the negative x direction. Therefore, the translation that will move the triangle so that point K lies on the Y axis is a horizontal translation of -4 units. We can express this translation as follows:

T(-4, 0)

This means that we need to move each point of the triangle 4 units to the left (negative x direction) to achieve the desired position of point K on the Y axis.

More on translation: https://brainly.com/question/17052587

#SPJ11

Mr. Lee has a small apple orchard. There are 7 rows of tree with n trees in each row. which two expression show different ways to find the total number of trees in Mr. Lee apple orchard?

Answers

Therefore , the solution of the given problem of expressions comes out to be  7n.

What exactly is an expression?

Instead of using random estimates, it is preferable to use shifting numbers that may also prove increasing, reducing, variable or blocking. They could only help one another by trading tools, information, or solutions to issues. The justifications, components, or quantitative comments for tactics like further disagreement, production, and blending may be included in the assertion of truth equation.

Here,

By dividing the number of rows by the number of trees in each row, one can calculate the total number of trees in Mr. Lee's apple orchard. Here are two expressions that demonstrate various approaches to determining the overall number of trees:

There are 7n =  trees in all.

=> Total number of trees = (Number of rows) x (Number of trees in each row) = 7n

The total number of trees in the orchard is the outcome of both expressions.

While the second statement more directly depicts the multiplication, the first expression merely merges the two elements into a single term.

To know more about expressions visit :-

brainly.com/question/14083225

#SPJ1

Earthworm Rivals are building the set for

their new music video. There is a tower made

of 9 glowing bricks that stands 5. 4 meters tall. If each of the bricks is the same exact size,

how tall is each brick?

Answers

Since each of the bricks is the same exact size, then each brick is 0.6 meters tall.

To determine the height of each glowing brick, we need to divide the total height of the tower (5.4 meters) by the number of bricks (9). This gives us the average height of each brick.

Using the formula for division, we can write this as:

Height of each brick = Total height of tower / Number of bricks

Plugging in the given values, we get:

Height of each brick = 5.4 meters / 9 bricks

Simplifying this expression, we can cancel out the units of "bricks" to get:

Height of each brick = 0.6 meters

Therefore, each glowing brick in the tower is 0.6 meters tall.

Learn more about division here: https://brainly.com/question/30126004

#SPJ11

Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not unique. Enter your answer as a comma-separated list of vectors.) u = (5, -4,8) Determine whether the planes are orthogonal, parallel, or neither

Answers

The cross-product of u and v:
w = u × v = (5, -4, 8) × (-8, -4, 5) = (-20, -60, 32)

Thus, w is orthogonal to u. Since we need two vectors in opposite directions, we can negate w:
-w = (20, 60, -32)
Therefore, the two orthogonal vectors in opposite directions are w = (-20, -60, 32) and -w = (20, 60, -32).

To find two vectors that are orthogonal to u, we can use the cross-product. Let v = (4,5,0) and w = (-8,0,5). Then v x u = (40,40,45) and w x u = (20,-40,20). So two vectors orthogonal to u are (40,40,45) and (20,-40,20).

To determine whether two planes are orthogonal, parallel, or neither, we can look at the normal vectors of each plane. Let the first plane be defined by the equation 2x + 3y - z = 4 and the second plane being defined by the equation :

4x + 6y - 2z = 8.

The normal vector of the first plane is (2,3,-1) and the normal vector of the second plane is (4,6,-2).

Since the dot product of these two normal vectors is -2(3) + 3(6) - 1(2) = 14, which is not equal to 0, the planes are not orthogonal.

To determine if they are parallel, we can check if the ratio of their normal vectors is constant. Dividing the second normal vector by the first, we get (4/2, 6/3, -2/-1) = (2,2,2). Since this is a constant ratio, the planes are parallel.

Learn more about Orthogonal:

brainly.com/question/31046862

#SPJ11

The cost of 12 oranges and 7 apples is $5.36. Eight oranges and 5 apples cost $3.68. Find the
cost of each.

Answers

Answer:

Let's solve this problem using algebra. Let x be the cost of one orange and y be the cost of one apple. Then we have the system of equations:

12x + 7y = 5.36

8x + 5y = 3.68

To solve for x and y, we can use elimination. Multiplying the second equation by 3 and subtracting it from the first equation multiplied by 5, we get:

(5*12 - 7*8)x + (5*7 - 3*5)y = 26.8 - 11.04

20x = 15.76

x = 0.788

Substituting x back into one of the equations, we can solve for y:

12(0.788) + 7y = 5.36

y = 0.308

Therefore, one orange costs $0.788 and one apple costs $0.308.

Translate the following statement into a mathematical equation:

Five times a number, minus three, is twelve.

Answers

Its translation is 5×3-3=12

[tex]x=log125/log25[/tex]

Answers

Answer:

[tex]x = \frac{ log(125) }{ log(25) } = \frac{ log( {5}^{3} ) }{ log( {5}^{2} ) } = \frac{3 log(5) }{2 log(5) } = \frac{3}{2} = 1 \frac{1}{2} [/tex]

FILL IN THE BLANK. Use part I of the Fundamental Theorem of Calculus to find the derivative of f(x) = x∫4 1/1+4t⁴ dt f'(x)=________

Answers

The derivative of f(x) is: f'(x) = [tan⁻¹(2)/2] - [tan⁻¹(1/2)/2]

The Fundamental Theorem of Calculus is a pair of theorems that link the concept of differentiation and integration. It states that if a function f(x) is continuous on an interval [a, b] and F(x) is the antiderivative of f(x) on the same interval, then:

Part I: The derivative of the integral of f(x) from a to x is equal to f(x):

d/dx ∫a to x[tex]f(t) dt = f(x)[/tex]

Part II: The integral of the derivative of a function f(x) on an interval [a, b] is equal to the difference between the values of the function at the endpoints of the interval:

∫a to b [tex]f'(x) dx = f(b) - f(a)[/tex]

Using Part I of the Fundamental Theorem of Calculus, we have:

f(x) = x∫4 1/(1+4t⁴) dt

Then, by the Chain Rule, we have:

f'(x) = d/dx [x∫4 1/(1+4t⁴) dt] = ∫4 d/dx [x(1/(1+4t⁴))] dt

= ∫4 (1/(1+4t⁴)) dt

= [tan⁻¹(2t)/2]₄¹

= [tan⁻¹(2)/2] - [tan⁻¹(1/2)/2]

Therefore, the derivative of f(x) is:

f'(x) = [tan⁻¹(2)/2] - [tan⁻¹(1/2)/2]

To learn more about derivative visit: https://brainly.com/question/30365299

#SPJ11

17


Type the correct answer in the box. Use numerals instead of words,


Alex is a single taxpayer with $80,000 in taxable income. His investment income consists of $500 of qualified dividends and short-term capital gains


of $2,000


Use the tables to complete the statement.


Single Taxpayers: Income Brackets


Tax Rate Income Bracket


10%


0 to 9,525


1296


9,526 to 38,700


22%


38,701 to 82,500


Single Taxpayers: Qualified


Dividends and Long-Term


Capital Gains


Tax Rate Income Bracket


0%


O to 38,600


15% 38,601 to 425,800


20%


> 425,800


24%


82,501 to 157,500


32%


157,501 to 200,000


35%


200,001 to 500,000


37%


> 500,000


Alex will owe $


in taxes on his investment income.


My

Answers

The exact tax owed cannot be determined without knowing the specific income bracket for Alex's taxable income.

We know that,

Based on the provided information, Alex's investment income consists of

$500 of qualified dividends and $2,000 of short-term capital gains.

Here, we have to calculate the taxes owed on his investment income, we

need to determine the applicable tax rate based on his taxable income.

As the specific income bracket for Alex's taxable income is not mentioned, it is not possible to provide an exact amount of taxes owed.

The tax rate and corresponding income brackets should be referenced to calculate the taxes accurately.

Learn more about tax owed

brainly.com/question/32198177

#SPJ12

Jack starts to save at age 40 for a vacation home that he wants to buy for his 50th birthday. He will contribute $1000 each quarter to an account, which earns 2. 1% interest, compounded annually. What is the future value of this investment, rounded to the nearest dollar, when Jack is ready to purchase the vacation home?



$11,000



$11,231



$44,000



$44,924

Answers

The future value of the investment when Jack is ready to purchase the vacation home is $44,924.

To solve this problem, we can use the formula for future value of an annuity:

FV = Pmt x [(1 + r)^n - 1] / r

Where:

Pmt = $1000 (quarterly contribution)
r = 0.021 (annual interest rate)
n = 40 (number of quarters until Jack turns 50)

Plugging in the numbers, we get:

FV = $1000 x [(1 + 0.021)^40 - 1] / 0.021
FV = $44,924.38

Therefore, the future value of Jack's investment, rounded to the nearest dollar, is $44,924. So the correct answer is $44,924.

Learn more about annuity here: https://brainly.com/question/25792915

#SPJ11

I need help please……..

Answers

AC is 114 because 18/114=15/95. BC is 96 because 114-18=96. BE is 3 because 3/19=18/114

Draw a triangle with side lengths that are 3 inches, 5 inches, and 6 inches long. Is this the only triangle that you can draw using these side lengths? Explain

Answers

The combination of these side lengths uniquely determines the shape of the triangle.

Hi! To draw a triangle with side lengths 3 inches, 5 inches, and 6 inches, make sure that the sum of any two sides is greater than the third side. In this case, 3 + 5 > 6, 3 + 6 > 5, and 5 + 6 > 3, so a triangle can be formed.

Yes, this is the only triangle you can draw using these side lengths.

The reason is that the side lengths are fixed, and according to the triangle inequality theorem, the combination of these side lengths uniquely determines the shape of the triangle.

The combination of these side lengths uniquely determines the shape of the triangle.

To know more about triangle refer here

https://brainly.com/question/2773823#

#SPJ11

Identify the equation of the line that passes through the pair of points (0,4) and (6, −3) in slope-intercept form.

Answers

An equation of the line that passes through the pair of points (0,4) and (6, −3) in slope-intercept form is y = -7x/6 + 4.

How to determine an equation of this line?

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:

y - y₁ = m(x - x₁)

Where:

x and y represent the data points.m represent the slope.

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (-3 - 4)/(6 - 0)

Slope (m) = -7/6

At data point (0, 4) and a slope of -7/6, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 4 = -7/6(x - 0)  

y = -7x/6 + 4

Read more on point-slope here: brainly.com/question/24907633

#SPJ1

(01. 04 MC)Simplify the following expression: (-3)(-2) -2) 0-12 0 12 0-18 0 18

Answers

The simplified expression is 4.

How to simplify the expression (-3)(-2) -2)?

To simplify the expression (-3)(-2) -2), we need to follow the order of operations, which are parentheses first, then multiplication and division from left to right, and finally addition and subtraction from left to right.

First, we need to simplify (-3)(-2) to get:

(-3)(-2) = 6

Now we can substitute this value into the expression to get:

6 - 2) = 4

Therefore, the simplified expression is 4.

Learn more about expression

brainly.com/question/14083225

#SPJ11

Consider the following. u = 71 + 9j, v = 8i+2j (a) Find the projection of u onto v. (b) Find the vector component of u orthogonal to v.

Answers

A. proj_v(u) = (586 / 68) * (8i + 2j) = (293 / 34) * (8i + 2j) ≈ 8.62i + 2.15j

B. u_orthogonal = (71 + 9j) - (8.62i + 2.15j) ≈ 62.38i + 6.85j

(a) To find the projection of vector u onto vector v, we use the formula:

proj_v(u) = (u·v / ||v||^2) * v

where u = 71 + 9j, v = 8i + 2j, "·" represents the dot product, and ||v|| represents the magnitude of v.

First, let's find the dot product u·v:

u·v = (71)(8) + (9)(2) = 568 + 18 = 586

Next, we find the magnitude of v:

||v|| = √((8)^2 + (2)^2) = √(64 + 4) = √68

Now, we find ||v||^2:

||v||^2 = 68

Finally, we can find the projection of u onto v:

proj_v(u) = (586 / 68) * (8i + 2j) = (293 / 34) * (8i + 2j) ≈ 8.62i + 2.15j

(b) To find the vector component of u orthogonal to v, we subtract the projection of u onto v from u:

u_orthogonal = u - proj_v(u)

u_orthogonal = (71 + 9j) - (8.62i + 2.15j) ≈ 62.38i + 6.85j

To learn more about projection, refer below:

https://brainly.com/question/17262812

#SPJ11

What is the arc measure of major arc BDC in degrees?

Answers

The arc measure of major arc BDC in degrees is 240 degrees.


To find the arc measure of major arc BDC in degrees, you'll need to provide more information about the given circle or angles within it. However, I can guide you on how to find the arc measure once you have the necessary information.

1. Determine the measure of the central angle corresponding to the major arc BDC. This can be done by subtracting the measure of the minor arc from 360 degrees.


2. Use the central angle measure to find the arc measure of major arc BDC. Since the arc measure is equal to the measure of the central angle in degrees, the arc measure of major arc BDC will be the same as the central angle measure you found in step 1.

Please provide more information or details about the given circle or angles to help you find the arc measure of major arc BDC.

To know more about arc refer here

https://brainly.com/question/29067390#

#SPJ11

Marsha is considering purchasing 3 points on a $350,000 home mortgage for 20 years. If she
purchases the 3 points, at a cost of 1 percent per point, her monthly mortgage would be
approximately $1,878.63. If she decides not to purchase any points, Mercedes' monthly
payment would be approximately $1,987.13. How much money will Mercedes save over the life
of the loan if she purchases the 3 points?

Answers

Marsha would save $26,040 over the life of the loan if she purchases the 3 points.

First, let's calculate the monthly payment if Marsha doesn't purchase any points. We can use a mortgage calculator or the PMT function in Excel to find;

PMT = $1,987.13

Now, let's calculate the monthly payment if Marsha purchases 3 points;

Loan amount = $350,000

Points cost = 3 points × 1% × $350,000 = $10,500

Effective loan amount = $350,000 - $10,500 = $339,500

Interest rate = 4.5% / 12 = 0.375%

Number of payments=20 years × 12 = 240

Using the PMT function, we get;

PMT = $1,878.63

So, by purchasing 3 points, Marsha can save;

$1,987.13 - $1,878.63 = $108.50 per month

Over the life of the loan, which is 20 years or 240 months, the total savings would be;

$108.50 × 240 = $26,040

Therefore, Marsha would save $26,040 amount of money.

To know more about loan here

https://brainly.com/question/31292605

#SPJ1

Identify the line of symmetry for the function below:
g(x) = |x +9|- 11

Answers

Answer:

x = -9

Step-by-step explanation:

As this is an absolute value function, the line of symmetry is the x-value of the maximum/minimum point. An absolute value function can be denoted as y = |x - h| + k, where (h, k) is the maximum/minimum point. We only need the x-value of the maximum/minimum point, so we only have to look at "h". Now, we can use y = |x - h| + k and turn it into g(x):

y = |x - h| + k

g(x) = |x - -9| + -11   --> this means h = -9, and the line of symmetry is at x = -9

g(x) = |x + 9| - 11

Answer:

I think x equals --9

Please please please answer this i need ittt

Answers

Answer: 81

Step-by-step explanation: this would be 81 because [tex]3^{3}[/tex] is basically 3 x 3 x 3 and 3 x 3 x 3=27 then multiply 27 by 3, and you get 81

Answer:

3^4. my answer needs to be 20+character sooooooooo

Which fraction is equivalent to a whole number select all that apply? 9/3, -16/8, 7/0, -5/3, 0/5

Answers

The fraction is equivalent to a whole number  are 9/3, -16/8, 7/0, 0/5

What is a fraction?

A fraction can simply be described as the part of a whole variable, a whole numbers, or a whole element.

In mathematics, there are different types of fractions. These fractions are listed thus;

Simple fractionsProper fractionsImproper fractionsComplex fractionsMixed fractions

From the information given, we have that;

Equivalent expressions or fractions are fractions with the same solutions

Then, we have;

9/3

Divide the values

3

-16/8

-2

Learn more about fractions at: https://brainly.com/question/17220365

#SPJ1

. given that z is a standard normal random variable, a positive value of z indicates that: question 2 options: a) the standard deviation of z is negative b) the probability associated with z is negative c) the value z is to the left of the mean d) the area between zero and z is negative. e) the value z is to the right of the mean

Answers

The positive value of z indicates option e) the value z is to the right of the mean.


A standard normal random variable has a mean of 0 and a standard deviation of 1. Positive values of z represent values above the mean, while negative values of z represent values below the mean.

The probability associated with a value of z is always positive since it represents the likelihood of observing a certain value. The area between zero and z is also always positive since it represents the probability of observing a value between 0 and z.

Therefore, option e) is the correct answer as it reflects the relationship between positive values of z and their location relative to the mean.

Learn more about "z value":

https://brainly.com/question/30172182

#SPJ11

Question Help


Kimo's Material Company hauls gravel to a construction site, using a small truck and a large truck. The


carrying capacity and operating cost per load are given in the accompanying table. Kimo must deliver a


minimum of 350 cubic yards per day to satisfy her


contract with the builder. The union contract with her drivers


requires that the total number of loads per day is a minimum of 9. How many loads should be made in each


truck per day to minimize the total cost?


Small Truck Large Truck


50


Capacity (yd)


70


Cost per Load


$87


$73


In order to minimize the total cost, the number of loads in a small truck that should be made is


number of loads in a large truck that should be made is


and the

Answers

Kimo should make 5 loads in the small truck and 4 loads in the large truck per day to minimize the total cost while meeting the delivery and union requirements.

What is the equivalent expression?

Equivalent expressions are expressions that perform the same function despite their appearance. If two algebraic expressions are equivalent, they have the same value when we use the same variable value.

the total cost will be minimized when the loads are distributed in the following way:

5 loads in the small truck (total capacity of 5 * 50 = 250 cubic yards)

4 loads in the large truck (total capacity of 4 * 70 = 280 cubic yards)

This will result in a total of 9 loads and a total capacity of 530 cubic yards, which meets both the daily minimum delivery requirement of 350 cubic yards and the union contract requirement of 9 loads per day.

The total cost can be calculated as follows:

Cost of 5 loads in small truck = 5 * $87 = $435

Cost of 4 loads in large truck = 4 * $73 = $292

Total cost per day = $435 + $292 = $727

Therefore, Kimo should make 5 loads in the small truck and 4 loads in the large truck per day to minimize the total cost while meeting the delivery and union requirements.

To learn more about the equivalent expression visit:

https://brainly.com/question/2972832

#SPJ4

M
what is the rate of return when 30 shares of stock
a. purchased for $20/share, are sold for $720? the
commission on the sale is $6.
rate
return = [?] %
give your answer as a percent rounded to the
nearest tenth.

Answers

The rate of return is 19%, rounded to the nearest tenth.

Given that a purchased for $ 20/share, are sold for $ 720. $ 6 is the  commission on the sale. We need to calculate the total cost of the investment and the total proceeds from the sale, and then use the formula for rate of return.

The total value should be

= 20 × 30

= $ 600

Since, it is sold for $ 720 along with commission of $6 so final money should be  

= 720 - 6

= $ 714.

Now rate of return is

= (714 - 600)/714*100

= 114/600*100

= 19%

Therefore, the rate of return is 19%, rounded to the nearest tenth.

Learn more about Rate of Return here

brainly.com/question/21691170

#SPJ4

PLEASE HELP AND SHOW WORK!! 10 PTS IF U ANSWER

Answers

Answer:

Step-by-step explanation:

You're going to want to break up the shape into three parts, two triangles, and the rectangle.

Starting with the left-most triangle: A=(L*W)/2

The length is 4ft and the width is 3ft, multiply and divide by 2 to get:  A=6 square feet.

Do the same with the second triangle on the bottom left (L=2ft, W=2ft) to get A=2 square feet.

Now the rectangle, A=L*W and total length is 10ft (8ft+2ft) and the width is 3ft. Multiply these values to get A=30 square feet.

Last step: add up all three areas for the total area of the entire shape, 6+2+30=38.

Area= 38 square feet.

A triangle has vertices at (–4, 0), (2, 8), and (8, 0). What are the coordinates of the centroid, circumcenter, and orthocenter? If needed, write mixed numbers with a single space between the whole number and the fractional parts.

Answers

The centroid of the given triangle (2, 8/3), the circumcenter of the triangle is (0,2), the orthocenter of the triangle is (2,8).

What is centroid?

In geometry, the centroid of a triangle is the point where the three medians of the triangle intersect.

To find the centroid of a triangle with vertices at (x1,y1), (x2,y2), and (x3,y3), we can use the formula:

(x1 + x2 + x3)/3 , (y1 + y2 + y3)/3

Using this formula, we get the centroid of the given triangle as:

((-4 + 2 + 8)/3 , (0 + 8 + 0)/3) = (2, 8/3)

To find the circumcenter, we first need to find the equations of the perpendicular bisectors of any two sides of the triangle. Let's choose the sides formed by the points (-4,0) and (2,8), and (2,8) and (8,0).

The midpoint of the first side is ((-4+2)/2, (0+8)/2) = (-1,4), and the slope of the line passing through (-4,0) and (2,8) is (8-0)/(2-(-4)) = 8/6 = 4/3. So the equation of the perpendicular bisector of this side is y-4 = -(3/4)(x+1), or 3x + 4y = 8.

Similarly, the midpoint of the second side is ((2+8)/2, (8+0)/2) = (5,4), and the slope of the line passing through (2,8) and (8,0) is (0-8)/(8-2) = -8/6 = -4/3. So the equation of the perpendicular bisector of this side is y-4 = (3/4)(x-5), or 3x - 4y = -8.

The intersection of these two lines gives us the circumcenter of the triangle. Solving the system of equations:

3x + 4y = 8

3x - 4y = -8

We get x = 0, y = 2. So the circumcenter of the triangle is (0,2).

To find the orthocenter, we first need to find the equations of the altitudes from any two vertices of the triangle. Let's choose the vertices (2,8) and (8,0).

The altitude from (2,8) is perpendicular to the side formed by the points (-4,0) and (8,0), so its slope is 0. Therefore, its equation is y = 8.

The altitude from (8,0) is perpendicular to the side formed by the points (-4,0) and (2,8), so its slope is the negative reciprocal of the slope of that side, which is -4/3. Using the point-slope form, we get the equation:

y - 0 = (-4/3)(x - 8)

y = -4x/3 + 32/3

To find the intersection of these two lines, we can substitute y = 8 into the second equation:

8 = -4x/3 + 32/3

-8/3 = -4x/3

x = 2

Substituting x = 2 into either equation gives us y = 8, so the orthocenter of the triangle is (2,8).

To learn more about centroid visit:

https://brainly.com/question/2263555

#SPJ4

Other Questions
malia earns a yearly salary of $130,000 in her job and earns $1,000 per year in interest on her savings. after she quits her job to start a company, she uses all her savings to purchase manufacturing equipment for her company. given the above information and the data summarizing her first year in business in the table, how much economic profit or loss does malia earn? What happens to the particles of a gad when the gas is compressed Please help me i will do anythingin one area, the lowest angle of elevation of the sun in winter is find the distance x that a plant needing full sun can be placed from a fence that is 10.5 feet high. round your answer to the tenths place when necessary. Identify all the lines on the graph with unit rates that are less than 2 and greater than the unit rate of the relationship in the table. Xy7814162124 Why it is necessary to learn various aspects about the country where the people are going? 20% of all college students volunteer their time. is the percentage of college students who are volunteers different for students receiving financial aid? of the 381 randomly selected students who receive financial aid, 57 of them volunteered their time. what can be concluded at the The function C (t) = 60 + 24t is used to find the total cost (in dollars) of renting an industrial cleaning unit for thours. What does C (12) represent?The cost at half the hourly rateThe cost of renting the unit for 12 daysThe cost of renting the unit for 12 hoursTwelve times the cost of renting the unit for 1 hour We define propagation delay as the time taken by a bit to reach from a sender to a receiver. We define transmission delay as the amount of time required to transmit all of a packet's bits into the network. Given a sender and a receiver, we assume they communicate to each other, using the CSMA/CA protocol with RTS/CTS enabled. We assume the propagation delay of a packet from the sender to receiver is, each time slot in the contention window is, the transmission delay of RTS or CTS is, SIFS and DIFS areand, respectively. Required:a. If the sender has a data packet to send at time 0, and the random number (of slots) it chooses is 2, what is the earliest (possible) time it starts sending an RTS message?b. What would be the earliest time for the receiver to start sending a CTS message?c. What would be the earliest time for the receiver to start sending an acknowledgement packet? A pair of standard six sided dice are to be rolled. What is the probability of rolling a sun of 6?State your answer as a fraction Evaluate the integral 8(1-tan(x)/sec dx Note Use an upper-case "C" for the constant of integration O A fifth gradeclass is split into groupsofstudents. The teacher brought in candybars for a fraction celebration. When itwas time forthe celebration,the teacher'gave eachgroup6candi bars. How muchdoes each student get. Al representation I need help with the following c program:(1) Prompt the user for a string that contains two strings separated by a comma. (1 pt)Examples of strings that can be accepted:Jill, AllenJill , AllenJill,AllenEx:Enter input string:Jill, Allen(2) Report an error if the input string does not contain a comma. Continue to prompt until a valid string is entered. Note: If the input contains a comma, then assume that the input also contains two strings. (2 pts)Ex:Enter input string:Jill AllenError: No comma in string.Enter input string:Jill, Allen(3) Extract the two words from the input string and remove any spaces. Store the strings in two separate variables and output the strings. (2 pts)Ex:Enter input string:Jill, AllenFirst word: JillSecond word: Allen(4) Using a loop, extend the program to handle multiple lines of input. Continue until the user enters q to quit. (2 pts)Ex:Enter input string:Jill, AllenFirst word: JillSecond word: AllenEnter input string:Golden , MonkeyFirst word: GoldenSecond word: MonkeyEnter input string:Washington,DCFirst word: WashingtonSecond word: DCEnter input string:q 3. 70 mol CO2 has a volume of 25. 12 L at a pressure of 968 mmHg. What is the temperature of the CO2 in C? catchment area buffalo river When you withdraw money from an ATM ("cash machine"), there may be a service fee that applies (e.g., a fixed fee of $1.75 per transaction). This fee is most similar to which parameter in the Economic Order Quantity (EOQ) model?A. DB. HC. SD. Q In a boiling pot of water are a metal spoon and a wooden spoon of equal masses/size. Which spoon would likely be more painful (higher in temperature) to grab? Assume that both spoons have been in the same pot of boiling water for the same amount of time. Explain this phenomena using the following terms: Heat, Mass, Temperature, Specific Heat Capacity, Heat Flow. Consider all possible factors in your explanation helpppppp pleaseeeee The following sentence has a misplaced modifier.The group members met on Saturday working on the project together.Which revision corrects the error in the sentence?The group members who were working on the project together met on Saturday. Working on the project together on Saturday, the group members met.On Saturday, the group members who were working on the project met together. The group members met working on the project together on Saturday. 5. A certain dog whistle has a frequency of 35. 1 kHz. A person blows the whistle while riding in the back of a "convertible" airplane with a velocity of 126 m/s, north. With what minimum velocity must a person in a second airplane fly in order for the sound to be shifted into the audible frequency range? (speed of sound in air is 343 m/s) State themeasures needed to support these sectors