Question

Center is (—4,5) and the diameter is 10

complete the equation
(x___)squared + (y____)squared=___

Answer 1

(x + 4)² + (y - 5)² = 25

Explanation:

The equation of a circle with center (a, b) and radius r is given by

(x - a)² + (y -b)² = r²

Here
a = -4 so x - a becomes x - (-4) = x + 4

b = 5 so y - b becomes y - 5

r = diameter/2 = 10/2 = 5; r² = 5² = 25

So equation is
(x + 4)² + (y -5)² = 25