document.write( "Question 1117521: Which is the equation of an ellipse centered at the origin with foci on x-axis, major axis of length 12 and minor axis of length 8?
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #732612 by greenestamps(13200)\"\" \"About 
You can put this solution on YOUR website!


\n" ); document.write( "Standard equation of an ellipse with horizontal major axis and center at (h,k):

\n" ); document.write( "\"%28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2=1\"

\n" ); document.write( "a is the semi-major axis; b is the semi-minor axis.

\n" ); document.write( "In your problem the center is the origin, so h and k are both 0; the major axis is 12 so a=6, and the minor axis is 8 so b = 4. Then the equation is

\n" ); document.write( "\"%28x-0%29%5E2%2F36%2B%28y-0%29%5E2%2F16=1\"

\n" ); document.write( "or just

\n" ); document.write( "\"x%5E2%2F36%2By%5E2%2F16=1\"
\n" ); document.write( "
\n" );