document.write( "Question 1155123: Write the equation in standard form for the ellipses with vertices (0,12) and (0,-12), and co-vertices (-6,0) and (6,0) \n" ); document.write( "

Algebra.Com's Answer #777677 by ikleyn(52800) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "\r\n" );
document.write( "The center of the ellipse is at the point (0,0), the origin of the coordinate system.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The longer axis is vertical.  The longer semi-axis is 12 units long.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The shorter axis is horizontal.  The shorter semi-axis is 6 units long.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The canonical equation of the ellipse is\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     +  = 1,\r\n" );
document.write( "\r\n" );
document.write( "or\r\n" );
document.write( "\r\n" );
document.write( "     +  = 1.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-----------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "To learn the subject from scratch, read the lesson\r
\n" ); document.write( "\n" ); document.write( " - Ellipse definition, canonical equation, characteristic points and elements \r
\n" ); document.write( "\n" ); document.write( "in this site.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );