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4 February, 12:59

Find the radius and center of the circle given by the equation below. (x - 6) 2 + (y + 4) 2 = 7 r = 7 and center at (-6, 4) r = 7 and center at (6, - 4) r = √7 and center at (-4, 6) r = √7 and (6, - 4)

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  1. 4 February, 13:22
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    center at (6, - 4) r = √7

    Step-by-step explanation:

    (x - 6) ^2 + (y + 4) ^2 = 7

    This is in the form

    (x - h) ^2 + (y - k) ^2 = r^2

    Where (h, k) is the center of the circle and r is the radius of the circle

    Rearranging the equation to match this form

    (x - 6) ^2 + (y - - 4) ^2 = sqrt (7) ^2

    The center is at (6, - 4) and the radius is the sqrt (7)
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