document.write( "Question 689523: how do you
\n" ); document.write( "Write the standard equation for the ellipse with the given characteristics Foci: (5, 0), (-5, 0) Vertices: (9, 0), (-9, 0) \n" ); document.write( "

Algebra.Com's Answer #426008 by lwsshak3(11628) $\"\"$ $\"About$

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Write the standard equation for the ellipse with the given characteristics Foci: (5, 0), (-5, 0) Vertices: (9, 0), (-9, 0)
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\n" ); document.write( "This is an ellipse with horizontal major axis.
\n" ); document.write( "Its standard form of equation: $\"%28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2=1\"$ , a>b, (h,k)=(x,y) coordinates of center
\n" ); document.write( "For given ellipse:
\n" ); document.write( "center: (0,0)
\n" ); document.write( "a=9 (center to vertex on the major axis)
\n" ); document.write( "a^2=81
\n" ); document.write( "c=5 (center to foci on the major axis)
\n" ); document.write( "c^2=25
\n" ); document.write( "c^2=a^2-b^2
\n" ); document.write( "b^2=a^2-c^2=81-25=56
\n" ); document.write( "equation:
\n" ); document.write( " $\"x%5E2%2F81%2By%5E2%2F56=1\"$
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