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The circles that have their centers in the second quadrant are; Options B and D

How to identify circle equations?

The general form of equation of a circle is;

( x - h )² + ( y - k )² = r²

where (h, k) is the center and r is the radius.

Thus;

A. (x - 5)² + (y - 6)² = 25

(h, k) = 5,6 This is Quadrant 1

B. (x + 1)² + (y - 7)² = 16

(h, k) = -1,7 This is Quadrant 2

C. (x - 4)² + (y + 3)²= 32

(h, k) = 4,-3 This is Quadrant 4

D. (x + 2)² + (y - 5)² = 9

(h, k) = -2,5

This is Quadrant 2

The missing circle equations are;

A. (x - 5)² + (y - 6)² = 25

B. (x + 1)² + (y - 7)² = 16

C. (x - 4)² + (y + 3)² = 32

D. (x + 2)² + (y - 5)² = 9

Read more about Circle Equations at; https://brainly.com/question/1559324

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