document.write( "Question 755682: What is the equation of an ellipse with foci (0,3) (0,-3) and co vertices (10,0) (-10,0) \n" ); document.write( "

Algebra.Com's Answer #459832 by lwsshak3(11628) $\"\"$ $\"About$

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What is the equation of an ellipse with foci (0,3) (0,-3) and co vertices (10,0) (-10,0)
\n" ); document.write( "Given ellipse has a vertical major axis.
\n" ); document.write( "Its standard form of equation: $\"%28x-h%29%5E2%2Fb%5E2%2B%28y-k%29%5E2%2Fa%5E2=1\"$ , a>b, (h,k)=(x,y) coordinates of center.
\n" ); document.write( "For given ellipse:
\n" ); document.write( "center: (0,0)
\n" ); document.write( "c=3 (distance from center to foci)
\n" ); document.write( "c^2=9
\n" ); document.write( "b=10 (distance from center to end points)
\n" ); document.write( "b^2=100
\n" ); document.write( "c^2=a^2-b^2
\n" ); document.write( "a^2=c^2+b^2=9+100=109
\n" ); document.write( "Equation of given ellipse:
\n" ); document.write( " $\"x%5E2%2F100%2By%5E2%2F109=1\"$ \n" ); document.write( "

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