The center of the circle with equation x2+y2=−2x−10y−16 is the point (x,y) . What is x+y?
Sorry Austin, I thought I was deleting my own incorrect answer.
I can't put it back easily. Sorry.
Your answer was mostly good but it did have an error in it. :(
The center of the circle with equation x^2+y^2=-2x-10y-16 is the point (x,y) . What is x+y?
The question is worded poorly. x and y are variables, not the centre of the circle.
I will call the centre (h,k). These are teh latters most commonly used for this.
x2+y2=−2x−10y−16x2+2x+y2+10y=−16Complete the 2 squaresx2+2x+1+y2+10y+25=−16+26(x+1)2+(y+5)2=10centreis(−1,−5)h+k=−1+−5=−6