document.write( "Question 556579: Can you please help with this problem?:
\n" ); document.write( "\"Find the constant sum of an ellipse with the given foci and point of the ellipse. co-vertex(o,-8), focus(6,0)\"
\n" ); document.write( "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. :) \n" ); document.write( "
Algebra.Com's Answer #362200 by lwsshak3(11628)\"\" \"About 
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)\"
\n" ); document.write( "**
\n" ); document.write( "Given data shows this is an ellipse with horizontal major axis. Standard form of its equation:
\n" ); document.write( "(x-h)^2/a^2+(y-k)^2/b^2, a>b, (h,k) being the (x,y) coordinates of the center.
\n" ); document.write( "For given equation:
\n" ); document.write( "x-coordinate of center=0 (from focus)
\n" ); document.write( "y-coordinate of center=0 (from co-vertex)
\n" ); document.write( "center: (0,0)
\n" ); document.write( "length of co-vertex=16=2b
\n" ); document.write( "b=8
\n" ); document.write( "b^2=64
\n" ); document.write( "c=6 (center to focus)
\n" ); document.write( "c^2=36
\n" ); document.write( "c^2=a^2-b^2
\n" ); document.write( "a^2=c^2+b^2=36+64=100
\n" ); document.write( "a=√100=10
\n" ); document.write( "Equation of given ellipse:
\n" ); document.write( "x^2/100+y^2/64=1 \n" ); document.write( "
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