document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=524275>Question 524275</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write and equation of an ellipse in standard form with the center at the origin and a height of 4 units and width of 5 units. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #347733 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=347733\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write and equation of an ellipse in standard form with the center at the origin and a height of 4 units and width of 5 units.<BR>\n" );
document.write( "**<BR>\n" );
document.write( "This is an equation of an ellipse with horizontal major axis of the standard form:<BR>\n" );
document.write( "(x-h)^2/a^2+(y-k)^2/b^2=1, With (h,k) being the (x,y) coordinates of the center.<BR>\n" );
document.write( "..<BR>\n" );
document.write( "For given equation:<BR>\n" );
document.write( "Center: (0,0) (given)<BR>\n" );
document.write( "length of horizontal major axis=5=2a<BR>\n" );
document.write( "a=5/2<BR>\n" );
document.write( "a^2=25/4<BR>\n" );
document.write( "length of minor axis=4=2b<BR>\n" );
document.write( "b=2<BR>\n" );
document.write( "b^2=4<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "x^2/(25/4)+y^2/4=1<BR>\n" );
document.write( "4x^2/25+y^2/4=1 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );