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Gre4nikov [31]
3 years ago
11

What is the scale factor of a triangle with a vertex of A(-6,4) that has been dilated with the center of dilation at the origin

so the vertex of its image is A’(-24,16)?
Mathematics
1 answer:
swat323 years ago
8 0

Answer:

The scale factor is 4

Step-by-step explanation:

* Lets talk about dilation

- A dilation is a transformation that changes the size of a figure.

- It can become larger or smaller, but the shape of the

 figure does not change.

- The scale factor, measures how much larger or smaller

  the image will be

- If the scale factor greater than 1, then the image will be larger

- If the scale factor between 0 and 1, then the image will be smaller

* In the problem

- The vertex A of the triangle is (-6 , 4) and its image A' is (-24 , 16)

∵ -24 ÷ -6 = 4

∵ 16 ÷ 4 = 4

∴ The scale factor is 4

∵ 4 > 1

∴ The image of the triangle will be larger

* The scale factor is 4

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Step-by-step explanation:

We need to remember that Product of powers property, which states that:

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Let's check the options:

A. For 5^9*5^{\frac{9}{10}}*5^{\frac{6}{100}}*5^{\frac{9}{1000}} you can  apply the property mentioned before. Then:

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D. We know that 5^{9.969}=9,290,347.808 and we maje the addition indicated in this option, we get:

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