find the coordinates of the vertices of the triangle after a reflection across the line x= -1 and then across the x-axis​

Answer:

The third side is sqrt(77)

Step-by-step explanation:

Since this is a right triangle we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

2^2 + b^2 = 9^2

4+ b^2 = 81

Subtract 4 from each side

b^2 = 81-4

b^2=77

Take the square root of each side

sqrt(b^2) = sqrt(77)

b = sqrt(77)

The third side is sqrt(77)

Answer:

y = 3x - 6

Step-by-step explanation:

Slope intercept form of a line is

y = mx+b  where m is the slope and b is the y intercept

15x - 5y = 30

Subtract 15x from each side

15x-15x - 5y =-15x+ 30

-5y = -15x+30

Divide each side by -5

-5y/-5 = -15x/-5 +30/-5

y = 3x - 6

Answer:

[tex]y = 3x - 6[/tex]

Step-by-step explanation:

[tex]15x - 5y = 30 \\ - 5y = 30 - 15x \\ \frac{ - 5y}{ - 5} = \frac{30 - 15x}{ - 5} \\ y = - 6 + 3x \\ y = 3x - 6[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

The answer is B.

Step-by-step explanation:

You have to apply gradient formula by using coordinates :

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

Let (x1,y1) be (-14,-13),

L3t (x2,y2) be (7,0),

[tex]m = \frac{0 - ( - 13)}{7 - ( - 14)} [/tex]

[tex]m = \frac{13}{21} [/tex]

The body uses 5%, so 95% of the previous amount is left every hour:

Total = start value x (1- %)^time

Total = 110 x(0.95)^8

Total left = 72.9762 milligrams

Round the answer as needed.

Answer:

3. All real numbers greater than or equal to -2

Answer:

Go to me. Click on your profile picture then click on your profile picture again to change it

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

78 + 47 = 125

125/25 = 5

Answer:

y = 1/3x - 1

Step-by-step explanation:

1. if the gradient is -3, then the gradient of the perpendicular line should be 1/3.

2. substitute the new gradient and points into y - y1 = m (x - x1)

3. rearrange/move everything to give you the equation in y = mx + c form

Answer:

B. (1, -3)

Step-by-step explanation:

When you dilate from the origin (0, 0) by a scale factor of 1/2, multiple each coordinate point by 1/2.

(2, -6)

2 × 1/2 = 1

-6 × 1/2 = -3

(1, -3)

I hope this helps :))

Answer:

The answer is (1,-3)

Step-by-step explanation:

I took the test :)

Answer:

see below

Step-by-step explanation:

f(x) = x^2 – 2x – 3

To find the roots, set the equation equal to zero

0  = x^2 – 2x – 3

Factor, what two numbers multiply to -3 and add to -2

-3 * 1 = -3

-3 + 1 = -2

0 = (x-3)( x+1)

Using the zero product property

x-3 =0   x+1 =0

x=3          x=-1

Answer:

3

Step-by-step explanation:

cuz i said so lol

Answer: The plane is 246.4 kilometres from Dryden (approximately)

Step-by-step explanation: Please refer to the picture attached for further details.

The pilot was meant to fly from Thunder Bay which is marked as point T to Dryden which is marked as point D. The distance is given as approximately 320 kilometres as shown.

However upon departure, the pilot goes off course at an angle of 20 degrees and flies for 80 kilometres. When he has traveled for exactly 80 kilometres, he would find himself at point P as shown in the diagram. The plane which is now at point P, is t kilometres from Dryden (point D). To calculate the distance t, we shall apply the cosine formula, having been given two sides and an angle between.

The cosine rule states as follows;

c² = a² + b² - 2abCosC

Substituting for the given variables in this question, the formula can be expressed as follows;

t² = d² + p² - 2dpCosT

Substituting for the known values, we now have,

t² = 80² + 320² - 2(80*320)Cos20

t² = 6400 + 102400 - 2(25600)0.9396

t² = 108800 - (51200) * 0.9396

t² = 108800 - 48107.52

t² = 60692.48

Add the square root sign to both sides of the equation

√t² = √60692.48

t = 246.3584

t ≈ 246.4

Therefore, the plane is approximately 246.4 kilometres from Dryden.

Answer:

20 and 28

Step-by-step explanation:

Let x represent the current age of Hari and y represent the current age of Harry

Since the current ratio is 5:7:

5/7 = x/y  

→ 5y = 7x  (1)

Hari's age will be x+4 and Harry's age will be y+4 four years later. Since the ration of their ages will be 3:4 four years later:

3/4 = (x+4)/(y+4)  (2)

→ 3(y+4) = 4(x+4)

→ 3y + 12 = 4x + 16

→ 3y = 4x + 4 (Substitute the y as 7x/5 from the equation 1)

→ 3(7x/5) = 4x + 4

→  21x = 20x + 20

→ x = 20

y = 7x/5 = 7(20)/5 = 28

Answer:

The correct options are (1), (2) and (4).

Step-by-step explanation:

If the cross-section of a right rectangular prism parallel to its base then the cross section is a rectangle.

If the cross section of a right rectangular prism perpendicular to its base then the cross section is a rectangle.

It is provided that a right rectangular prism has a rectangular base measuring 15 inches by 8 inches.

Then the right rectangular prism could have:

Thus, the correct options are (1), (2) and (4).

Answer:

For the pen to be as large as possible, the length the farmer should choose for the third side should be 20.52 feet

Step-by-step explanation:

The length of one side of the right triangle = 14 feet

The length of the other side = 15 feet

Therefore, the length of the third side can be one of the following side lengths;

[tex]S_{3,1} = \sqrt{14^2 + 15^2} = \sqrt{421} = 20.52 \ feet[/tex]

[tex]S_{3,2} = \sqrt{15^2 - 14^2} = \sqrt{29} = 5.39 \ feet[/tex]

The possible lengths of the third side of the triangle are;

Third side = 20.52 feet and

Third side = 5.39 feet

b. For the area of the pen to be as large as possible, we have;

With third side = 20.52 feet,  area of the pen = 0.5 × 15 × 14 = 105 ft²

With third side = 5.39 feet,  area of the pen = 0.5 × 5.39 × 14 = 37.7 ft²

Therefore, for the pen to be as large as possible, the farmer should choose 20.52 feet as he third side.

Answer:

a. c ≈ 20.5 ft (first possibility)

    b ≈ 5.4 ft(other possibility)

b. The farmer should choose the side that has 20.5 ft for the third side because it provide more larger area as needed by the farmer.

Step-by-step explanation:

The pen the farmer wants to build is a right angle triangle. one side of the triangle is 14 ft while another side is 15 ft.

A right angle triangle has opposite side, adjacent side and an hypotenuse which is the longest side.

a. To the nearest tenth of a foot, find all possible lengths for the third side of the triangle.

Pythagoras theorem can be used to solve any sides of the triangle when given 2 sides.

We are not told which side is the hypotenuse or the adjacent or the opposites side. Therefore , the possible length for the third side can be computed using Pythagoras theorem.

c² = a² + b²

c = hypotenuse

while a and b can be any of opposite or adjacent sides. The first possible length can be when both sides are the legs of the triangle (no hypotenuse)

c² = 14² + 15²

c² = 196 + 225

c² = 421

c= √421

c = 20.5182845287

c ≈ 20.5 ft (first possibility)

The other possibility of the third side is when the hypotenuse is Known and one other side(either adjacent or opposite). We can use only 15 since it should be the longest side.  

c² = a² + b²

c² - a² = b²

15² - 14² = b²

225 - 196 = b²

b² = 29

b = √29

b = 5.38516480713

b ≈ 5.4 ft(other possibility)

b. The farmer wants the area of the pen to be as large as possible. What length should he choose for the third side? Justify your answer.

The two scenarios are as follows

First area

area = 1/2 × base × height

area = 1/2 × 14 × 15 = 210/2 = 105 ft²

Second area

area = 1/2 × base × height

area = 1/2 × 5.4 × 14 = 75.6/2 = 37.8 ft²

The farmer should choose the side that has 20.5 ft for the third side because it provide more larger area as needed by the farmer.

Step-by-step explanation:

Descending means from highest to lowest values, so look for the one that goes in order counting down.

Option A is going down all the way unlike any of the other answers, so A is the correct option.

Answer:

A. [tex]-2x^3+6x^2-9x+5[/tex]

Parallel lines never intersect, but they must be in the same plane. The definition does not require the undefined term point, but it does require plane. Because they intersect, perpendicular lines must be coplanar; consequently, plane is not required in the definition. 

-Peter ( hope its right )

Answer:

(4,8)

Step-by-step explanation:

The solution is where the two lines intersect.

The graphs intersect at x=4 and y = 8

(4,8)

Answer:    B: (4,8)

Step-by-step explanation:

y = 3x +2           you will go to positive to on the graph and go up 3 and to the right two because it is positive until you can't no more.

y = -6x + 32

you will go to +32 on the graph and then go down six and since there is no number under -6 you will replace it with one so it will look like this -6x/1

Answer: Krista put 0.40 in the first equation meant for the number of stamps

Step-by-step explanation: From the information available to Krista, she can determine the number of stamps that cost 40 cents and those that cost 55 cents. What she needs is a system of simultaneous equations both of which would use the total number of stamps and the total cost of stamps to determine the how many stamps cost 40 cents and how many costs 55 cents.

The system of equations should have been,

x + y = 45 ----------(1)

0.40x + 0.55y = 18.75 ----------(2)

From equation (1), let x be the subject of the equation and hence x = 45 - y

Substitute for the value of x into equation (2)

0.40(45 - y) + 0.55y = 18.75

18 - 0.40y + 0.55y = 18.75

Collect like terms and you now have

0.55y - 0.40y = 18.75 - 18

0.15y = 0.75

Divide both sides of the equation by 0.15

y = 5

When y has been calculated as 5, substitute for the value of y into equation (1)

x + y = 45

x + 5 = 45

x = 45 - 5

x = 40

The results show that the stamps that cost 0.40 cents (x) were 40 in number while those that cost 0.55 cents (y) were 5 in number.

This answer could not have been derived due to the mistake Krista committed when writing the equations.

Answer:

a

Step-by-step explanation:

Answer:

Step-by-step explanation:

learn it

Answer:

a) 4, 7, 12, 19

b) 2, 8, 18, 32

Step-by-step explanation:

Sequence is just number line sir, so to begin with you get n=1, then n=2, then n=3, then n=4, these are the first 4 terms

Answer:

a) 4, 7, 12, 19

b) 2, 8, 18, 32

Step-by-step explanation:

In order to find the first 4 terms, you have to substitute 1 to 4 into n for both expressions :

[tex]a) {n}^{2} + 3[/tex]

[tex]1st \: term \\ {1}^{2} + 3 = 4[/tex]

[tex]2nd \: term \\ {2}^{2} + 3 = 7[/tex]

[tex]3rd \: term \\ {3}^{2} + 3 = 12[/tex]

[tex]4th \: term \\ {4}^{2} + 3 = 19[/tex]

[tex]b)2 {n}^{2} [/tex]

[tex]1st \: term \\ 2( {1}^{2} ) = 2[/tex]

[tex]2nd \: term \\ 2( {2}^{2} ) = 2(4) = 8[/tex]

[tex]3rd \: term \\ 2( {3}^{2} ) = 2(9) = 18[/tex]

[tex]4th \: term \\ 2( {4}^{2} ) = 2(16) = 32[/tex]

Answer:

R=6

Step-by-step explanation:

T+R+A=100

T=88 A=6 R=?

88+R+6=100

Move known numbers to other side

R=6

Answer:

282.6 ft

Step-by-step explanation:

First you must figure out how far the elevator drops in three seconds.

To do so you multiply how far it falls per second (5.8 ft) by how long it falls for (3 seconds). 5.8 * 3 = 17.4

now you subtract 17.4 from 300 to get 282.6 ft

Answer:

2x^2 - 6x

Step-by-step explanation:

2x(x-3)

Distribute

2x*x -3*2x

2x^2 - 6x

Q:    Which of the following equations is equivalent to S = pi r squared h?

A:     B  (CC ALGEBRA 2A, ED20)

The equations is equivalent to S = pi r squared h would be; B. h=S/πr²

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

To know the equation equivalent to πr²h, we will make h the subject of the formula from the one given in equation.

S = πr²h

To get h, we needd to divide both sides by the coefficient of h (i.e πr²)

S/πr² = πr²h/πr²

S/πr² = h

h = S/πr²

This equation shows that h = S/πr² is equivalent to S = πr²h

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ2

Answer:

Buying 5 packs of bread rolls and 3 packs of burger meat

Step-by-step explanation:

Sara needs to find the least common multiple between 6 bread rolls and 10  pieces of burger meat:

[tex]LCM:\\10\ 6\ |2\\5\ \ 3\ |3\\5\ \ 1\ |5\\1\ \ 1\ |1\\\\LCM = 2*3*5=30[/tex]

Sara will get the same amount of burger to bread rolls when she buys 30 units of each. The numbers of packs of each product that she must buy are:

[tex]B=\frac{30}{6}=5\ packs\\ M=\frac{30}{10}=3\ packs[/tex]

Sara should buy 5 packs of bread rolls and 3 packs of burger meat.

Answer:

17

Step-by-step explanation:

A standard die has a 1/6 chance of rolling a 6.

Over 100 rolls, a 6 is likely rolled (1/6)*100 times.

100/6=16.66, approximately 17 times

The first question was answered on another page.

As for your second question, you are unfortunately not correct.

We can check each possible answer by adding up the costs for each road. I recommend getting a marker out to trace the path, to help keep track of which roads were taken.

So we have...

We see that Circuit ACDBA is the cheaper route of the answer choices given, and it perfectly matches with choice 2.

This may or may not be the cheapest route. I'm not all that familiar with the Nearest Neighbor algorithm to properly find the cheapest route (the next best thing is brute force). Luckily we can just use the answer choices as shown above. Besides the question doesn't ask for the absolute cheapest, but instead, "one of the cheapest".

Answer:

-8

Step-by-step explanation:

¾(¼x + 8) - (½x + 2) = ⅜(4-x) - ¼x

3x/16 + 6 - x/2 - 2 = 3/2 - 3x/8 - x/4

3x/16 + 4 - x/2 = 3/2 - 3x/8 - x/4

3x/16 - x/2 + 3x/8 + x/4 = 3/2 - 4

3x/16 - 8x/16 + 6x/16 + 4x/16 = 3/2 - 8/2

(3x - 8x + 6x + 4x)/16 = - 5/2

5x/16 = - 5/2

5x * 2 = -5 * 16

10x = - 80

x = -80/10 = -8