document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=616273>Question 616273</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the ellipse is center at the origin. the legnth of its horizontal axis is 8,and the length of its vertical axis is 6.what is the equation for the ellipse </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #387590 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=387590\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the ellipse is center at the origin. the legnth of its horizontal axis is 8,and the length of its vertical axis is 6.what is the equation for the ellipse<BR>\n" );
document.write( "**<BR>\n" );
document.write( "standard form of equation for an ellipse with horizontal major axis:<BR>\n" );
document.write( "(x-h)^2/a^2+(y-k)^2/b^2=1, (a>b), (h,k)=(x,y) coordinates of center<BR>\n" );
document.write( "For given problem:<BR>\n" );
document.write( "center: (0,0)<BR>\n" );
document.write( "length of horizontal major axis=8=2a<BR>\n" );
document.write( "a=4<BR>\n" );
document.write( "a^2=16<BR>\n" );
document.write( "..<BR>\n" );
document.write( "length of vertical or minor axis=6=2b<BR>\n" );
document.write( "b=3<BR>\n" );
document.write( "b^2=9<BR>\n" );
document.write( "..<BR>\n" );
document.write( "equation:<BR>\n" );
document.write( "x^2/16+y^2/9=1 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );