document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=931144>Question 931144</A>: <I><SPAN STYLE=\"word-break: break-all;\"> write the equation of an ellipse given foci (1,-4) (5,-4) and major axis endpoints (0,-4) (6,-4) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #565450 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=565450\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> write the equation of an ellipse given foci (1,-4) (5,-4) and major axis endpoints (0,-4) (6,-4)<BR>\n" );
document.write( "***<BR>\n" );
document.write( "Given ellipse has a horizontal major axis.<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 ellipse:<BR>\n" );
document.write( "x-coordinate of center=3 (midpoint of major axis)<BR>\n" );
document.write( "y-coordinate of center=-4<BR>\n" );
document.write( "center:(3,-4)<BR>\n" );
document.write( "a=3(distance from center to end points of horizontal major axis<BR>\n" );
document.write( "a^2=9<BR>\n" );
document.write( "c=2(distance from center to foci)<BR>\n" );
document.write( "c^2=4<BR>\n" );
document.write( "c^2=a^2-b^2<BR>\n" );
document.write( "b^2=a^2-c^2=9-4=5<BR>\n" );
document.write( "equation: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%5E2%2F9%2B%28y%2B4%29%5E2%2F5=1 ALIGN=MIDDLE  ALT=\"%28x-3%29%5E2%2F9%2B%28y%2B4%29%5E2%2F5=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );