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Reil [10]
3 years ago
5

A figure has been dilated from the origin by a scale factor of

Mathematics
1 answer:
Darya [45]3 years ago
6 0

Answer:

See Explanation

Step-by-step explanation:

The question has missing details. So, I'll solve using a general assumption.

Let one of the coordinates of the figure be

A = (x,y)

Let the scale factor be n

When dilated, the new figure is:

A' = n * A

A' = n * (x,y)

To return the image back to the original figure, the new scale factor mus be a reciprocal of the previous scale factor i.e. \frac{1}{n}

So:

A = A' * \frac{1}{n}

Substitute n(x,y) for A';

A = n(x,y) * \frac{1}{n}

A = \frac{n(x,y)}{n}

A = (x,y)

Take for instance:

A = (2,3)

n = 2 -- scale factor

A' = n * A

A' = 2 * (2,3)

A' = (4,6)

To get A from A', using the analysis above

A = \frac{1}{2} * (4,6)

A = (2,3)

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scoundrel [369]

Answer:

You would figure this out by the method of substitution

Step-by-step explanation:

a= -3/2

b= 5/4

c=7/8

a(b+c) = a(b)+a(c)

Substitute

-3/2(5/4 +7/8) = -3/2(5/4)+-3/2(7/8)

-51/16 =-51/16

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3 years ago
will giver brainliest to the person with the most detailed answer. That means tell me how you got ur answer. And the person who
Umnica [9.8K]

Answer:

She waited five minutes.

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I hope this helps!!!

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2 years ago
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Andre has 4 times as many model cars as Peter and Peter has one-third as many model cars as jade Andre has 36bmodel cars how man
kondor19780726 [428]

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Andre has 4 x (the number of cars Peter has).  Andre has 36 cars.

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6 0
3 years ago
Yuri and Nathan both made posters. Yuri made 1,272 copies of his poster. Nathan made 325 copies of his poster. How many more cop
Andrew [12]

Answer:

Yuri made 947 more copies than Nathan.

Step-by-step explanation:

Since we are finding the difference from the amount Yuri and Nathan made, the operation is subtraction. Since Yuri made more copies, his number will go first: 1272-325. Then, we solve by subtracting the two numbers, and you should get 947.

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6 0
3 years ago
A large community college has professors and lecturers. The total number of faculty members is 228. The school reported that it
NARA [144]

Answer:

60 professors and 168 lecturers

Step-by-step explanation:

What you have is a 2 equations system with 2 unknown variables.

Let X be the number of professors and Y be the number of lecturers. As the total of both is 228:

X + Y = 228

Then, as there are 5 professors for every 14 lecturers:

5 X = 14 Y or X = (14/5) Y

Replacing this last value of X on the first equation:

(14/5) Y + Y = 228

(14/5) Y + (5/5) Y = 228

(19/5) Y = 228

Y = 228 * (5/19)

Y = (228*5)/19

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Y = 60

Then we can find X:

X = (14/5) Y = (14/5) * 60 = 168

X = 168

:)

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3 years ago
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