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Mathematics 13 Online
OpenStudy (anonymous):

Need help

OpenStudy (anonymous):

Find the radius of the circle with equation \[x^2+y^2+8x+8y+28=0\]

OpenStudy (anonymous):

@Nnesha ?

OpenStudy (anonymous):

So what you need to do is complete the square. Do this one at a time. Take the x2 and 8x and add (1/2)(8)^2=16 so you get (x+4)^2 do the same thing with y and get (y+4)^2 Then because you added 16 twice to complete the square twice, you need to subtract 16 twice. This -32 combines with the 28 to make -4 add -4 to other side and get 4 so there you have it the radius is 2 how do i know this? Because x^2+y^2=r^2 is the general form for a circle. Now that it is in the form you can pick out r which is on the other side of the equation as 2^2 therefore the radius is 2

OpenStudy (anonymous):

thanks a ton

OpenStudy (anonymous):

that should help...and no problem.

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