If AB has endpoints at A (-2,-5) and B (2,-9) , and is dilated about the origin by a factor of 6 which if the following would be the length of its image A'B'?

If AB has endpoints at A (-2,-5) and B (2,-9) , and is dilated about the origin by a factor of 6 wh

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Ответ:

ShianHagen5

10.03.2023

Mathematics

Step-by-step explanation:

We have been given that dimensions of original photo are 4 inches by 6 inches. We want the photo on the poster to be of dimensions 3 feet by 4 1/2 feet.

First of all we will convert dimensions of poster from feet to inches.

$3\text{ feet}=3\times 12 \text{ inches}=36\text{ inches}$

$4\frac{1}{2}\text{ feet}=4.5\times 12 \text{ inches}=54\text{ inches}$

Now let us compare sides of our original photo with corresponding sides of poster.

$\frac{36}{4} =9$

Now let us compare the second pair of corresponding sides.

$\frac{54}{6} =9$

We have seen that sides of poster are 9 times the sides of our original photo, therefore, the scale factor of this dilation is 9.

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