Find x in this proportion. x/3 = x+2/5 x =

Answer:

The coordinates of point B = (1, -4)

Step-by-step explanation:

Complete Question

Point A is at (−3,4) and point C is at (2,−6). Find the coordinates of point B on line AC such that the ratio of AB to AC is 4:5.

Solution

Point B divides line AC into two parts

A = (-3, 4)

C = (2, -6)

AB:AC = 4:5

If (AB/AC) = (4/5)

5AB = 4AC

But AC = AB + BC

5AB = 4(AB + BC)

5AB = 4AB + 4BC

5AB - 4AB = 4BC

AB = 4BC

(AB/BC) = (4/1)

AB:BC = 4:1

Hence, point B divides line AC internally into two parts with ratio 4:1

Mathematically, if a point P(x, y) divides the coordinates (x₁, y₁) and (x₂, y₂) internally in the ratio m:n then point P(x, y) is given as

x = [(mx₂ + mx₁)/(m + n)]

y = [(my₂ + my₁)/(m + n)]

For this question,

x₂ = 2

x₁ = -3

y₂ = -6

y₁ = 4

m = 4

n = 1

Point B is then described with coordinates

x = [(4×2 + 1×-3)/(4+1)] = (5/5) = 1

y = [(4×-6 + 1×4)/(4+1)] = (-20/5) = -4

Hence, the coordinates of point B is given as

(x, y) = (1, -4)

Hope this Helps!!!

Answer:

(-3,-3)

Step-by-step explanation:

above.

Answer:

7-x

Step-by-step explanation:

49 - x^2 is a perfect square so

it factors to :(7+x)(7-x)

since there is a negative in 49 - x^2, it would make sense that the answer would be a negative to get that negative answer in the first place (negative times a positive equals a negative)

Forgive me for my lame explanation :')

Answer:

x² - 4x = 21

x² - 4x - 21 = 0

x² - 7x + 3x - 21 = 0

x( x - 7 ) + 3 ( x - 7 ) = 0

( x + 3 ) ( x - 7 ) = 0

x + 3 = 0 and x - 7 = 0

x = -3 and x = 7

Answer:

18units

Question:

The complete question as seen from other website is stated below:

The height of trapezoid VWXZ is 8(square 3) units. The upper base,VW, measures 10 units. Use the 30°-60°-90° triangle theorem to find the length of YX.

What is the length of the lower base, ZX?

Step-by-step explanation:

VW = 10units

WY = 8√3

XY = ?

ZX = ?

Find attached the diagram obtained from the information (1st image).

To determine XY, we would apply the tangent ratio.

Tan 60 = opposite/adjacent

Tan60 = (8√3)/XY

XY = (8√3)/ Tan60

In a 30°-60°-90° triangle theorem:

Find attached the diagram (2nd image)

Tan 60 = opposite/adjacent

Tan 60 = √3/1

Tan60= √3

XY = (8√3)/ Tan60

XY = (8√3)/√3

XY = 8units

ZX = ZY + XY

VW = ZY = 10units (the breadth of rectangle are equal)

ZX = 10 + 8

ZX = 18 units

Answer:

12 and 18

Step-by-step explanation:

sum the parts of the ratio, 2 + 3 = 5

30 ÷ 5 = 6 ← value of 1 part of the ratio

2 parts = 2 × 6 = 12

3 parts = 3 × 6 = 18

The numbers are 12 and 18

Answer:

Vertical asymptote x= 1

Horizontal asymptote y= -1

Step-by-step explanation:

Answer:

no asymptotes

Step-by-step explanation:

since y=-3x-1-1 is not a ratinal expression there are no asymptotes.

Answer:

| 32 - c | [tex]\leq[/tex] 8

Step-by-step explanation:

c represents the cost of the medication

This absolute value inequality makes sure that the difference is less than or equal to 8, whether or not the medication is $8 more or less than the average.

Answer:[x - 32] <(with line under it) 8

Step-by-step explanation:

Answer:

The answer is D because outliers are data far away from the main data set.

Answer:

d

Step-by-step explanation:

Answer:

He can ride his bike 5/34 of a mile per hour.

Step-by-step explanation:

If Ryan can ride the bike 5 miles per 34 hours, then all you have to do is divide the hours and the miles by 34. This way, you would be left with only one hour and 5/34 of a mile.

Answer: 28/3 hours

Step-by-step explanation:

From the question, Kim and Josh can clean a house together in 3 hours while Kim alone uses 7 hours to clean the house by herself.

Kim's hourly rate will be to clean the house = 1/7 per hour.

In 4 hours:

Kim will have completed = 1/7 × 4 = 4/7 of the house

This mean that Josh completes:

1 - 4/7 = 3/7 of the house.

Josh's hourly rate will now be:

1/4 × 3/7 = 3/28 of the house per hour.

From Josh to clean the house alone, he will use:

= 1 ÷ (3/28)

= 1 × 28/3

= 28/3 hours

Josh will use 28/3 hours to clean the house alone?

Answer:

Option (D). 110°

Step-by-step explanation:

Since EB and AD are diameter,

[tex]m(\widehat{ECB})[/tex] = [tex]m(\widehat{ACD})[/tex] = 180°

[tex]m(\widehat{ECB})=m(\widehat{EDC})+m(\widehat{BC})[/tex] = 180° -------(1)

And [tex]m(\widehat{ACD})=m(\widehat{AB})+m(\widehat{BCD})[/tex]

180° = 40° + [tex]m(\widehat{BCD})[/tex]

[tex]m(\widehat{BCD})[/tex] = 140°

Since, [tex]m(\widehat{BCD})=m(\widehat{BC})+m(\widehat{CD})[/tex]

[tex]2m(\widehat{BC})[/tex] = 140° [Given [tex]m(\widehat{BC})=m(\widehat{CD})[/tex]]

[tex]m(\widehat{BC})[/tex] = 70°

From equation (1),

[tex]m(\widehat{EDC}})[/tex] = 180° - [tex]m(\widehat{BC})[/tex]

[tex]m(\widehat{EDC}})[/tex] = 180°- 70°

Therefore, measure of arc(EDC) = 110°

Option (D) will be the answer.

Answer:

The slope is 3/8

The y intercept is 75/8

Step-by-step explanation:

The slope is found by

m= (y2-y1)/(x2-x1)

   = (9-6)/(-1- -9)

   = (9-6)/(-1+9)

    =3/8

The y intercept is found by

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

y = 3/8 x+b

9 = 3/8(-1) +b

Getting a common denominator

72/8 = -3/8 +b

Add 3/8 to each side

75/8 = b

The y intercept is 75/8

Answer:

3/8, 9 3/8

Step-by-step explanation:

y= mx+b

m=(y2-y1)/(x2-x1)

L (-9, 6) and M(-1, 9)

slope is:

y- intercept is:

Answer:

D. 160

Step-by-step explanation:

This question asks us to find f(8). Essentially, this asks us to find out what y is when x is equal to 8. In terms of this problem, how many minutes does he practice after 8 days.

We are given the equation:

y=20x

We want to find f(8). Therefore, we must substitute 8 in for x.

y=20(8)

Multiply 20 and 8

y=160

Therefore, f(8) is 160 and D is the correct answer. This means that after 8 days, Emilio practices for 160 minutes.

Answer:

160

Step-by-step explanation:

Answer:  10.35 miles per hour

Step-by-step explanation:

[tex]\dfrac{63,756\ feet}{70\ minutes}\times \dfrac{1\ mile}{5280\ feet}\times \dfrac{60\ minutes}{1\ hour}=\dfrac{(63,756)(60)\ miles}{(70)(5280)\ hour}=\dfrac{10.35\ miles}{hour}[/tex]

Answer:

The answer is "Option C".

Step-by-step explanation:

In the given question attachment of the table is missing which can be defined as follows:

[tex]\left\begin{array}{cc}\bold{x} &\bold{f(x)}\\0 & 6 \\2 & 7\\4 & 0\\7 & 5 \end{array}\right[/tex]

In given table a method f(x) values corresponding to different values of x.  

We needed to try f(0) value  that is in this method, we have to calculate the f(x) value if x=0  

As we've seen from the table the f(x) value at x=0 is 6  

That's why the correct choice is option C that is 6.

Answer:

The answer would be C

Step-by-step explanation:

I just took the test !!

Answer:

[tex]s = \frac{3}{10}m[/tex]

I hope this helps!

Answer: s=3/10m

Step-by-step explanation:

I took the math test in Edgenuity.

Hope this helps!

Answer:

38 feet

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Rays that intersect at a right angle (90° angle) are always perpendicular

Answer:

the average number of 2 and 3 is 2.5 and 10 is an integer

Step-by-step explanation:

Answer:

f⁻¹(-2)=3

f⁻¹(1)=0

Step-by-step explanation:

inverse function flips x any coordinate into y and x

Answer:

Brainliest goes to me!

Step-by-step explanation:

5k-2k+1

3k+1

Answer: THE ANSWER IS -1/36

Step by step: Find the LCD then combine

The answer is : -1/36

You forgot the 1 for 18 in the last question lol

Hope this helps, pls mark as brainliest :))))

Answer:

The answer is 1800!

Step-by-step explanation:

Answer:

B. 1800 degrees.

Step-by-step explanation:

Just took the quiz on Edg (2020-2021)!

Answer:

reflection of Δa about y=2 results in Δb

Step-by-step explanation:

The single transformation that maps triangle a onto triangle b is: Reflection about y=2

Triangle A should be reflected about y=2 to map it onto Triangle B.

Here, from the given figure we get,

Coordinates of the vertices of triangle (A) are A(1, 3), B(2, 3) and C(1, 5)

After transformation of triangle A, coordinates of the vertices A', B' and C' of the image triangle (B) are,

A'(1, 1), B'(2, 1) and C'(1, -1)

Lets choose point A to find the rule of transformation,

A(1, 3) → A'(1, 1)

Rule → (x, y) → (x, 2 - (y - 2)) or (x, y) → (x, 4 - y)

It shows triangle (A) has been reflected across a line y = 2.

Therefore, Triangle A should be reflected about y=2 to map it onto Triangle B.

To learn more on reflection click:

brainly.com/question/15487308

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Answer:

6(2x-9)

Step-by-step explanation:

The two numbers in question are both even, so we can see that we can pull out 2, giving us:

2(6x -27)

Looking at this, we can see that we can no longer pull out 2, but we can pull out 3, giving us:

6(2x-9)

This can be simplified no further, so this gives us the final answer, where the GCF is 6.

Answer:

The volume  is  191.3 [tex]cm^3[/tex]

Step-by-step explanation:

Recall that the formula for the volume of a pyramid is given by the formula:

[tex]Volume=\frac{B\,*H}{3}[/tex]

where B is the area of the pyramid's base, and H its height. So, in our case, the base is a square of length 7.5 cm, which gives 56.25 cm^2

Now, we use this value and the height 10.2 cm to find the volume:

[tex]Volume=\frac{B\,*H}{3}\\Volume=\frac{56.25\,*10.2}{3}\\Volume=191.25\,\,cm^3[/tex]

which rounded to the nearest tenth is: 191.3 [tex]cm^3[/tex]

Answer:

191.3

Step-by-step explanation:

Answer:

c)3/2(8/7)^x

Step-by-step explanation:

Evaluate the functions. 

1. Because 7/4 > 1 and the exponent is positive,

  the function does not decay.

2.Because 4/5 < 1 and the exponent is negative,

   the function does not decay.

3. Because 8/7 > 1 and the exponent is negative,

   the function decays.

4. Because 9/2 > 1 and the exponent is positive,

   the function does not decay.

A composite plot the functions verifies the answer.

If all the x's are exponents, then 3/2 (8/7)^-x is the only one that decays as x gets bigger.  That's because the base is greater than 1 and the x is negative.

please mark me brainliest :)

The only expression that is a decay function is f(x) = 2/3(4/5)^-x since 4/5 is less than 1

The standard form of an exponential equation is expressed as:

y = a(b)^x

where

a is the base

x is the exponent

b is the rate (determine whether the rate is growth or decay)

If the value of b is less than 1 then it is a decay function. The only expression that is a decay function is f(x) = 2/3(4/5)^-x since 4/5 is less than 1

Learn more on exponential function here:  https://brainly.com/question/2456547

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Answer:

The distance between points P and Q on this campus map of the local college is 13.038 units

Step-by-step explanation:

We are given that Joanne does a daily walk from building P to building Q

[tex]P=(x_1,y_1)=(6,9)\\Q = (x_2,y_2)=(5,-4)[/tex]

We are supposed to find the distance between points P and Q on this campus map of the local college

We will use distance formula :

[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Substitute the values in the formula .

[tex]d=\sqrt{(5-6)^2+(-4-9)^2}\\d=13.038[/tex]

Hence the distance between points P and Q on this campus map of the local college is 13.038 units

Answer:

13 feet

Step-by-step explanation:

We use the distance formula:

Learn how to find the distance between two points by using the distance formula, which is an application of the Pythagorean theorem. We can rewrite the Pythagorean theorem as d=√((x_2-x_1)²+(y_2-y_1)²) to find the distance between any two points.

Answer:

-3

Step-by-step explanation:

if ay=bx+c , then the slope is b/a

I have 1*y=-3*x+1, the slope is -3/1=-3

Or

the slope is y2-y1/x2-x1

if x1=1 ,y1= -3*1+1=-3+1=-2

  x2=2, y2=-3*2+1=-6+1=-5

the slope is (y2-y1)/(x2-x1)=(-5+2)/1=-3