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4vir4ik [10]
2 years ago
9

Mia enlarged a plan for an outdoor stage. The original plan is shown below. She dilated the outdoor stage by a scale factor of 4

with the center of dilation at the origin. Which ordered pair will be the coordinates of one of the new vertices? A (2,1) B (8,16) C (32,4) D (32,16)

Mathematics
2 answers:
garik1379 [7]2 years ago
5 0
Since you didn't give the original picture, I can only explain the process. Then, you need to select the correct point.

In a dilation, we multiply the coordinates by the scale factor. Take the points that you have and multiply them all by 4. Then, look for a point making your new coordinates.
yawa3891 [41]2 years ago
5 0

Answer:

D (32,16)

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  Please see the attached photo.

In the photo, the four vertices are:

(-5,4)  by a scale factor of 4 (-20, 16)

(8, 4)  by a scale factor of 4 (32, 16)

(-6, -2)  by a scale factor of 4 (-24, -8)

(8, -2)   by a scale factor of 4 (31, -8)

So only D is correct.

Hope it will find you well.

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Distance between the police station and the fire station be 4 miles

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Let distance between the police station and the fire station be x miles.

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Distance between the library and the police station =2x-3

Also, distance between the library and the police station is 5 miles.

2x-3=5\\2x=3+5\\2x=8\\x=\frac{8}{2}\\ x=4\,\,miles

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2 years ago
Draw a pie chart representation of Roxy’s one-year budget plan using the expenses and income amounts from parts B through E.
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Sorry for taking points but where are parts b and e

Step-by-step explanation:

4 1
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Joanie is organizing her closet. She has 3 times as many black shirts as gray shirts, plus 3 new black shirts she just bought. S
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Answer:

Option A. 2

Step-by-step explanation:

To solve this problem we can write equations for each shirt color.

Let's call:

b = black shirts

g = gray shirts

w = white shirts

B = brown shirts

If you have 3 times more black shirts than gray shirts and buy 3 more black shirts then:

b = 3g +3     (i)

If you have 5 times more white shirts than gray shirts and gave a white shirt then:

w = 5g -1      (ii)

It has 2 times more gray shirts than brown camsas, then:

g = 2B         (iii)

It has the same amount of black and white shirts

b = w            (iv)

We want to find the number of gray shirts.

Then replace (iv) in (ii)

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Now substitute (v) into (i) and clear g.

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2 years ago
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Answer:

The expression used to represent g(x) as inverse of f(x) is \frac{1}{5}(5x-25)+5

Option B is correct.

Step-by-step explanation:

We are given:

f(x)= 5x-25\\g(x)=\frac{1}{5}x+5

We need to find the expression that could be used to verify g(x) is the inverse of f(x).

We know that g(f(x))=x is inverse of function

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Option B is correct.

We can also solve to prove that g(f(x))=x

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