document.write( "Question 869588: Write an equation of the ellipse with foci at (0,+-12), and vertices at (0,+-13)
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Algebra.Com's Answer #524288 by lwsshak3(11628) $\"\"$ $\"About$

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Write an equation of the ellipse with foci at (0,+-12), and vertices at (0,+-13)
\n" ); document.write( "Given data shows ellipse has a vertical major axis with center at the origin.
\n" ); document.write( "Its standard form of equation: $\"x%5E2%2Fb%5E2%2By%5E2%2Fa%5E2=1\"$ , a>b
\n" ); document.write( "For given ellipse:
\n" ); document.write( "a=13 (distance from center to vertices on the vertical major axis)
\n" ); document.write( "a^2=169
\n" ); document.write( "c=12 (distance from center to foci on the vertical major axis)
\n" ); document.write( "c^2=144
\n" ); document.write( "c^2=a^2-b^2
\n" ); document.write( "b^2=a^2-c^2=169-144=25
\n" ); document.write( "b=5
\n" ); document.write( "equation of given ellipse: $\"x%5E2%2F25%2By%5E2%2F169=1\"$ \n" ); document.write( "

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