Rewrite the following equation in the center-radius form of the equation of a circle.

x2 + 12x + y2 + 10y = - 45

A.

(x + 6) 2 + (y + 5) 2 = 16

B.

(x - 5) 2 + (y - 6) 2 = 16

C.

(x + 8) 2 + (y + 4) 2 = 16

D.

(x + 6) 2 + (y + 6) 2 = 16

Question

Lia Hammond

Mathematics

12 July, 03:00

Rewrite the following equation in the center-radius form of the equation of a circle.

x2 + 12x + y2 + 10y = - 45

A.

(x + 6) 2 + (y + 5) 2 = 16

B.

(x - 5) 2 + (y - 6) 2 = 16

C.

(x + 8) 2 + (y + 4) 2 = 16

D.

(x + 6) 2 + (y + 6) 2 = 16

+2

Answers (1)

Know the Answer?

Russell · Answer 1

A

Step-by-step explanation:

observe

x² + 12x + y² + 10y = - 45

add 36 + 25 on both side

x² + 12x + 36 + y² + 10y + 25 = - 45 + 36 + 25 = 16

(x + 6) ² + (y + 5) ² = 16

Rewrite the following equation in the center-radius form of the equation of a circle.x2 + 12x + y2 + 10y = - 45A.(x + 6) 2 + (y + 5) 2 = 16B.(x - 5) 2 + (y - 6) 2 = 16C.(x + 8) 2 + (y + 4) 2 = 16D.(x + 6) 2 + (y + 6) 2 = 16

Rewrite the following equation in the center-radius form of the equation of a circle.

x2 + 12x + y2 + 10y = - 45

A.

(x + 6) 2 + (y + 5) 2 = 16

B.

(x - 5) 2 + (y - 6) 2 = 16

C.

(x + 8) 2 + (y + 4) 2 = 16

D.

(x + 6) 2 + (y + 6) 2 = 16