document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=742067>Question 742067</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write an equation for each ellipse described below<BR>\n" );
document.write( "The foci are a (4,0) and (-4,0). Then end points of the minor axis are at (0,2) and (0,-2).\r<BR>\n" );
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document.write( "The center has coordinated (5,-4). The minor axis is parallel to the x-axis with a length of 6. The major axis has a length of 10. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #452514 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=452514\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write an equation for each ellipse described below<BR>\n" );
document.write( "..<BR>\n" );
document.write( "The foci are a (4,0) and (-4,0). Then end points of the minor axis are at (0,2) and (0,-2).<BR>\n" );
document.write( "This is an ellipse with horizontal major axis. (x-coordinates of foci change, but y-coordinates do not. Its standard form: <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)=(x,y) coordinates of center<BR>\n" );
document.write( "For given ellipse:<BR>\n" );
document.write( "x-coordinate of center=0 (midpoint of foci)<BR>\n" );
document.write( "y-coordinate of enter=0 (midpoint of minor axis)<BR>\n" );
document.write( "center: (0,0)<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( "c=4 (distance from center to foci)<BR>\n" );
document.write( "c^2=16<BR>\n" );
document.write( "c^2=a^2-b^2<BR>\n" );
document.write( "a^2=c^2+b^2=16+4=20<BR>\n" );
document.write( "Equation of given ellipse:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2F20%2By%5E2%2F4=1 ALIGN=MIDDLE  ALT=\"x%5E2%2F20%2By%5E2%2F4=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "..<BR>\n" );
document.write( "The center has coordinated (5,-4). The minor axis is parallel to the x-axis with a length of 6. The major axis has a length of 10.<BR>\n" );
document.write( "***<BR>\n" );
document.write( "Given ellipse has a vertical major axis. Its standard form:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-h%29%5E2%2Fb%5E2%2B%28y-k%29%5E2%2Fa%5E2=1 ALIGN=MIDDLE  ALT=\"%28x-h%29%5E2%2Fb%5E2%2B%28y-k%29%5E2%2Fa%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, a>b, (h,k)=(x,y) coordinates of center.<BR>\n" );
document.write( "For given ellipse:<BR>\n" );
document.write( "center: (5,-4)<BR>\n" );
document.write( "length of major axis=10=2a<BR>\n" );
document.write( "a=5<BR>\n" );
document.write( "a^2=25<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 of given ellipse:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-5%29%5E2%2F9%2B%28y%2B4%29%5E2%2F25=1 ALIGN=MIDDLE  ALT=\"%28x-5%29%5E2%2F9%2B%28y%2B4%29%5E2%2F25=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
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