SOLUTION: Can you please help with this problem?: "Find the constant sum of an ellipse with the given foci and point of the ellipse. co-vertex(o,-8), focus(6,0)" That is my entire question

Algebra ->  Algebra  -> Quadratic-relations-and-conic-sections -> SOLUTION: Can you please help with this problem?: "Find the constant sum of an ellipse with the given foci and point of the ellipse. co-vertex(o,-8), focus(6,0)" That is my entire question      Log On

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 Question 556579: Can you please help with this problem?: "Find the constant sum of an ellipse with the given foci and point of the ellipse. co-vertex(o,-8), focus(6,0)" That is my entire question. I don't need you to tell me the answer but if you could explain how to do it, that would be excruciatingly helpful. :)Answer by lwsshak3(6498)   (Show Source): You can put this solution on YOUR website!"Find the constant sum of an ellipse with the given foci and point of the ellipse. co-vertex(o,-8), focus(6,0)" ** Given data shows this is an ellipse with horizontal major axis. Standard form of its equation: (x-h)^2/a^2+(y-k)^2/b^2, a>b, (h,k) being the (x,y) coordinates of the center. For given equation: x-coordinate of center=0 (from focus) y-coordinate of center=0 (from co-vertex) center: (0,0) length of co-vertex=16=2b b=8 b^2=64 c=6 (center to focus) c^2=36 c^2=a^2-b^2 a^2=c^2+b^2=36+64=100 a=√100=10 Equation of given ellipse: x^2/100+y^2/64=1