document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1137082>Question 1137082</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find an equation of the ellipse that has center (-2,5)<BR>\n" );
document.write( ", a minor axis of length 10<BR>\n" );
document.write( ", and a vertex at (9,5)<BR>\n" );
document.write( ". <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #755005 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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/cgi-bin/show-face.mpl?user=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=755005\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The coordinates of the center and one of the vertices tell us that the major axis is horizontal.<br><BR>\n" );
document.write( "The standard form of the equation of an ellipse with horizontal major axis is<br><BR>\n" );
document.write( "<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;\" ><br><BR>\n" );
document.write( "In the equation, (h,k) is the center of the ellipse; a is the semi-major axis (distance from the center to each vertex) and b is the semi-minor axis.<br><BR>\n" );
document.write( "The given information makes it easy to find the values of a and b and thus write the equation.<br><BR>\n" );
document.write( "I leave that easy part to you. </SPAN>\n" );
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