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In the diagram, the circle will be dilated by a scale factor of 3 about the origin. The points C, A, and B map to C', A', and B' after the dilation. What is the length of C ′ ⁢ B ′ ¯ ? Use the distance formula to help you decide: d = ( x 2 − x 1 ) 2 + ( y 2 − y 1 ) 2 .

Respuesta :

ogorwyne

From the calculation here, the length of C'B is given as 15.

How to solve for C'B

We have the formula

d^2 = (x2 – x1)^2 + (y2 – y1)^2

This is the distance formula. This has a linear relationship with with the segments when we are to find the distance. If it is dilated by a scale of 3, the given distance between these two would also have to be dilated by 3.

From the diagram , we have these values where

C = (x1, y1) = (8, 10)

and also

B = (x2, y2) = (12, 13)

We have to put these values in the formula of the distance in order to get the distance

[tex]d^2= (12-8)^2 + (13-10)^2[/tex]

= 4² + 3²

= 16 + 9

= 25

d = √25

d = 5

C'B is by a scale factor of 3 hence we would have , 3 *5 = 15

Read more on distance here

https://brainly.com/question/4515068

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