document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=747546>Question 747546</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine an equation for the hyperbola .<BR>\n" );
document.write( "Foci at (12,0) (-12,0) and transverse axis of length 18 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #455004 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=455004\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Determine an equation for the hyperbola .<BR>\n" );
document.write( "Foci at (12,0) (-12,0) and transverse axis of length 18<BR>\n" );
document.write( "***<BR>\n" );
document.write( "Hyperbola has a horizontal transverse 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-%28y-k%29%5E2%2Fb%5E2=1 ALIGN=MIDDLE  ALT=\"%28x-h%29%5E2%2Fa%5E2-%28y-k%29%5E2%2Fb%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, (h,k)=(x,y) coordinates of center.<BR>\n" );
document.write( "..<BR>\n" );
document.write( "center: (0,0)<BR>\n" );
document.write( "Given length of horizontal transverse axis=18=2a<BR>\n" );
document.write( "a=9<BR>\n" );
document.write( "a^2=81<BR>\n" );
document.write( "c=12 (distance from center to foci on the transverse axis)<BR>\n" );
document.write( "c^2=144<BR>\n" );
document.write( "c^2=a^2+b^2<BR>\n" );
document.write( "b^2=c^2-a^2=144-81=63<BR>\n" );
document.write( "Equation of given hyperbola: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2F81-y%5E2%2F63=1 ALIGN=MIDDLE  ALT=\"x%5E2%2F81-y%5E2%2F63=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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