Answer:
The answer is 
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Step-by-step explanation:
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Answer:
1. Translate circle A using the rule (x − 3, y + 4).
4. Dilate circle A by a scale factor of 5
Step-by-step explanation:
we know that
All circles are similar figures
step 1
Translate the center of circle A to the center of circle B
we have
A(2,8) -----> B(5,4)
so
The rule of the translation is
(x,y) ----> (x+a,y+b)
(2,8) ----> (2+a,8+b)
2+a=5 ----> a=5-2=3
8+b=4 ---> b=4-8=-4
therefore
The rule of the translation is
(x,y) ----> (x+3,y-4)
step 2
Divide the radius of circle B to the radius of circle A to find out the scale factor
10/2=5
so
Multiply the radius of circle A by the scale factor to obtain the radius of circle B
therefore
Dilate circle A by a scale factor of 5
-(-z + 3) equals z - 3
5 = z - 3
z = 8
