If (x + 2) 2 + (y - 5) 2 = 25 is the equation of a circle, which statement describes the circle's graph?

A) The center of the circle is (2, 5), and the circle's radius is 25.

B) The center of the circle is (-2, 5), and the circle's radius is 5.

C) The center of the circle is (2, - 5), and the circle's radius is 5.

D) The center of the circle is (-2, - 5), and the circle's radius is 5.

Question

Mathematics

Marely Warren

23 June, 14:25

If (x + 2) 2 + (y - 5) 2 = 25 is the equation of a circle, which statement describes the circle's graph?

A) The center of the circle is (2, 5), and the circle's radius is 25.

B) The center of the circle is (-2, 5), and the circle's radius is 5.

C) The center of the circle is (2, - 5), and the circle's radius is 5.

D) The center of the circle is (-2, - 5), and the circle's radius is 5.

+5

Answers (1)

Know the Answer?

Alexis Peters · Answer 1

B.

Step-by-step explanation:

The equation of a circle is (x - h) ² + (y - k) ² = r²

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

Here we have (x - (-2)) ² + (y - 5) ² = 5², so the center is (-2, 5) and the radius is 5