Question

The equation of a circle is . Find the center and the radius of the circle. Then graph the circle.

Answer 1

`x^2+y^2=10-6y+25=0`

`x^2-10x+y^2-6y=-25`

`now ~add ~25+9 ~ on ~both~ sides`

`(x^2-10x+25)+(y^2-6y+9)=-25+25+9`

`=(x-5)^2+(y-3)^2=9`

`(x-5)^2+(y-3)=(3)^2`

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`So, the~ center ~is~(5,3)`

`The\ radius\ is \ 3\ units`

`(D)\ is \ your\ answer`

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hope it helps..

have a great day!!