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10 July, 02:31

Find the center and the radius of the circle with the equation x^2+6x+y^2+4y+10=1

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Answers (2)
  1. 10 July, 03:54
    0
    The center is (-3, - 2) and the radius is 2.

    Step-by-step explanation:

    x² + 6x + y² + 4y + 10 = 1

    x² + 6x + y² + 4y = - 9

    Complete the squares.

    x² + 6x + 9 + y² + 4y + 4 = - 9 + 9 + 4

    (x + 3) ² + (y + 2) ² = 4

    (x + 3) ² + (y + 2) ² = 2²

    The center is (-3, - 2) and the radius is 2.
  2. 10 July, 05:09
    0
    The center is (-3, - 2) and the radius is 2.

    Step-by-step explanation:

    x² + 6x + y² + 4y + 10 = 1

    x² + 6x + y² + 4y = - 9

    Complete the squares.

    x² + 6x + 9 + y² + 4y + 4 = - 9 + 9 + 4

    (x + 3) ² + (y + 2) ² = 4

    (x + 3) ² + (y + 2) ² = 2²

    The center is (-3, - 2) and the radius is 2.
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