document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=699404>Question 699404</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find an equation in standard form for the ellipse whose minor axis endpoints are(3,-6) and (3,4) and major axis length is 12.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #431564 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=431564\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find an equation in standard form for the ellipse whose minor axis endpoints are(3,-6) and (3,4) and major axis length is 12.<BR>\n" );
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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)=(x,y) coordinates of center<BR>\n" );
document.write( "For given ellipse:<BR>\n" );
document.write( "x-coordinate of center=3<BR>\n" );
document.write( "y-coordinate of center=(-6+4)/2=-1 (midpoint)<BR>\n" );
document.write( "center: (3,-1)<BR>\n" );
document.write( "given length of major axis=12=2a<BR>\n" );
document.write( "a=6<BR>\n" );
document.write( "a^2=36<BR>\n" );
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document.write( "length of minor axis=10 (-6 to 4)=2b<BR>\n" );
document.write( "b=5<BR>\n" );
document.write( "b^2=25<BR>\n" );
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document.write( "Equation of given ellipse:<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%5E2%2F36%2B%28y%2B1%29%5E2%2F26=1 ALIGN=MIDDLE  ALT=\"%28x-3%29%5E2%2F36%2B%28y%2B1%29%5E2%2F26=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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