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23 November, 04:05

Find the center and radius for the circle, given the equation: X^2 + Y^2 + 4x - 10y = 7

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Answers (2)
  1. 23 November, 04:17
    0
    Complete the squaer to get into form

    (x-h) ² + (y-k) ²=r²

    where the center is (h, k) and the radius is r

    so

    group x and y terms together

    (x²+4x) + (y²-10y) = 7

    take 1/2 of each coefient and square it

    4/2=2, 2²=4

    -10/2=-5, (-5) ²=25

    add 4+25 to both sides

    (x²+4x) + (y²-10y) + 4+25=7+4+25

    (x²+4x+4) + (y²-10y+25) = 36

    factor perfect squares

    (x+2) ² + (y-5) ²=36

    convert to the form

    (x - (-2)) ² + (y-5) ²=6²

    center is (-2,5) and radius is 6
  2. 23 November, 04:19
    0
    The radius is 6 and the center is (-2,5)
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