Mathematics: Circle a is defined as (x+5)^2 + (y+6)^2 + 16, and circle b is defined as (x+3)^2+(y+2)^2 =9. Which transformation of circle a shows that circle b is similar?

86 92Step-by-step explanation:...

Circle a is defined as (x+5)^2 + (y+6)^2 + 16, - id52621612139397, AaronEarlMerringer

Ответ:

GodlyGamer8239

22.04.2021

We should use the following transformation: (x', y') = (x+2, y + 4) (Translation of circle A to the center of the circle B)

Step-by-step explanation:

We should apply a translation prior to determine if both circles are similar. If we translate the circle A to the center of the circle B. The translation needed is the vectorial distance between both centers:

T(x,y) = B(x,y)-A(x,y) (1)

Where:

T(x,y) - Translation vector.

A(x,y) - Location of the center of the circle A.

B(x,y) - Location of the center of the circle B.

If we know that A(x,y) = (-5,-6) and B(x,y) = (-3,-2) , then the translation vector is:

T(x,y) = (-3,-2)-(-5,-6)

T(x,y) = (2,4)

We should use the following transformation: (x', y') = (x+2, y + 4) (Translation of circle A to the center of the circle B)

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Circle a is defined as (x+5)^2 + (y+6)^2 + 16, and circle b is defined as (x+3)^2+(y+2)^2 =9. Which transformation of circle a shows that circle b is similar?

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