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30 April, 09:25

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

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Answers (1)
  1. 30 April, 12:31
    0
    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
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