2

A circle is described by the equation x² + y2 + 14x + 2y + 14 =

0. What are the coordinates for the center of the circle and

the length of the radius?

(-7, - 1), 36 units

(7,1), 36 units

• (7, 1), 6 units

(-7, - 1), 6 units

Dona

(-7, - 1), 6 units

Step-by-step explanation:

x² + y² + 14x + 2y + 14 = 0

x² + 14x + y² + 2y = - 14

Complete the squares.

x² + 14x + 49 + y² + 2y + 1 = - 14 + 49 + 1

(x + 7) ² + (y + 1) ² = 36

(x + 7) ² + (y + 1) ² = 6²

The center is at (-7, - 1) and the radius is 6.