document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=878101>Question 878101</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given an ellipse whose major axis has a length of 8 and whose minor axis has a length of 6, what is the equation in standard form of 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 #529731 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=529731\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given an ellipse whose major axis has a length of 8 and whose minor axis has a length of 6, what is the equation in standard form of the ellipse?<BR>\n" );
document.write( "***<BR>\n" );
document.write( "Next time please specify whether major axis is horizontal or vertical.<BR>\n" );
document.write( "For this problem, I will assume major axis is horizontal.<BR>\n" );
document.write( "Its standard form of equation: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2=1 ALIGN=MIDDLE  ALT=\"%28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, a>b, (h,k)=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( "length of minor axis=6=2b<BR>\n" );
document.write( "b=3<BR>\n" );
document.write( "b^2=9<BR>\n" );
document.write( "equation: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2F16%2By%5E2%2F9=1 ALIGN=MIDDLE  ALT=\"x%5E2%2F16%2By%5E2%2F9=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );