document.write( "Question 593401: hello tutor, I need help with my question how do i find an equation of the ellipse having the given foci and sum of focal radii? thank you! :)\r
\n" ); document.write( "\n" ); document.write( "(0,0), (0,8);12
\n" ); document.write( "the sum of the focal radii 2a is 12 so a=7, the center between the foci is (0,0)right? this is all i can get up to, can you help me, thank you for your time! \n" ); document.write( "
Algebra.Com's Answer #376733 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
hello tutor, I need help with my question how do i find an equation of the ellipse having the given foci and sum of focal radii? thank you! :)
\n" ); document.write( "(0,0), (0,8);12
\n" ); document.write( "**
\n" ); document.write( "Standard form of equation for an ellipse with vertical major axis: (x-h)^2/b^2+(y-k)^2/a^2=1, a>b, (h,k)=(x,y) coordinates of center.
\n" ); document.write( "..
\n" ); document.write( "For given ellipse
\n" ); document.write( "x-coordinate of center=0
\n" ); document.write( "y-coordinate of center=(8+0)/2=4 (midpoint formula)
\n" ); document.write( "center: (0,4)
\n" ); document.write( "Sum of focal radii=12=2a:
\n" ); document.write( "a=6
\n" ); document.write( "a^2=36
\n" ); document.write( "..
\n" ); document.write( "foci=8=2c
\n" ); document.write( "c=4
\n" ); document.write( "c^2=16
\n" ); document.write( "..
\n" ); document.write( "c^2=a^2-b^2
\n" ); document.write( "b^2=a^2-c^2=36-16=20
\n" ); document.write( "Equation:
\n" ); document.write( "x^2/20+(y-4)^2/36=1
\n" ); document.write( " \n" ); document.write( "
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