document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=589347>Question 589347</A>: <I><SPAN STYLE=\"word-break: break-all;\"> write an equation for the ellipse with end points of the major axis at (10,2) and (-8,2), foci at (6,2) and (-4,2) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #374840 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=374840\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> write an equation for the ellipse with end points of the major axis at (10,2) and (-8,2), foci at (6,2) and (-4,2)<BR>\n" );
document.write( "**<BR>\n" );
document.write( "Standard form of equation for an ellipse with horizontal major axis:<BR>\n" );
document.write( "(x-h)^2/a^2+(y-k)^2/b^2=1, a>b, (h,k)=(x,y) coordinates of center.<BR>\n" );
document.write( "For given ellipse:<BR>\n" );
document.write( "y-coordinate of center=2<BR>\n" );
document.write( "x-coordinate of center=1 (10-8)/2=2/2=1 (mid point formula)<BR>\n" );
document.write( "center: (1,2)<BR>\n" );
document.write( "length of horizontal major axis=18 (-8 to 10)=2a<BR>\n" );
document.write( "a=9<BR>\n" );
document.write( "a^2=81<BR>\n" );
document.write( "2c=10 (-4 to 6) (Foci)<BR>\n" );
document.write( "c=5<BR>\n" );
document.write( "c^2=25<BR>\n" );
document.write( "c^2=a^2-b^2<BR>\n" );
document.write( "b^2=a^2-c^2=81-25=56<BR>\n" );
document.write( "Equation of given ellipse:<BR>\n" );
document.write( "(x-1)^2/81+(y-2)^2/25=1\r<BR>\n" );
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document.write( " </SPAN>\n" );
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