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13 June, 18:30

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

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Answers (1)
  1. 13 June, 21:21
    0
    (-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.
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