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6 April, 09:55

A circle has the equation 2x2+12x+2y2-16y-150=0.

What are the coordinates of the center, and what is the length of the radius?

The coordinates of the center are (-3,4), and the length of the radius is 10 units.

The coordinates of the center are (3,-4), and the length of the radius is 10 units.

The coordinates of the center are (6,-8), and the length of the radius is 10 units.

The coordinates of the center are (-6,8), and the length of the radius is 10 units.

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  1. 6 April, 12:41
    0
    Step-by-step explanation:

    hello:

    2x²+12x+2y²-16y-150=0

    divide by 2 : (x²+6x) + (y²-8y) - 75 = 0

    (x²+6x+9) - 9 + (y²-8y+16) - 16-75 = 0

    (x+3) ² + (y-4) ² = 10²

    The coordinates of the center are (-3,4), and the length of the radius is 10 units.
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