Question

What are the coordinates of the center of a circle whose equation is (x + 7)2 + (y – 5)2 = 16?

Answer 1

(-7, 5)

Explanation:

Comparing the equation to the standard form equation of a circle of radius r centered at (h, k):

(x -h)² +(y -k)² = r²

you see that h=-7 and k=5.

The center of the circle has coordinates (-7, 5).

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Like a lot of math, it's about pattern matching.