document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=64981>Question 64981</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am having trouble with hyperbolas. Please help me determine the foci and equations of the asymptotes of: 9x^2-25y^2=225.  Thanks for your help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #45489 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=45489\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Equation of a Hyperbola; Center at (0,0); Foci at (+\-c,0);  Vertices at (+\-a,0);  Transverse axis along the x-axis.  Two oblique asymptotes at y=+\-(b/a)x:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x%5E2%2Fa%5E2-y%5E2%2Fb%5E2=1%29 ALIGN=MIDDLE  ALT=\"highlight%28x%5E2%2Fa%5E2-y%5E2%2Fb%5E2=1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2=c%5E2-a%5E2 ALIGN=MIDDLE  ALT=\"b%5E2=c%5E2-a%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Determine the foci and equations of the asymptotes of: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%5E2-25y%5E2=225 ALIGN=MIDDLE  ALT=\"9x%5E2-25y%5E2=225\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%5E2%2F225-25y%5E2%2F225=225%2F225 ALIGN=MIDDLE  ALT=\"9x%5E2%2F225-25y%5E2%2F225=225%2F225\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2F25-y%5E2%2F9=1 ALIGN=MIDDLE  ALT=\"x%5E2%2F25-y%5E2%2F9=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2F5%5E2-y%5E2%2F3%5E2=1 ALIGN=MIDDLE  ALT=\"x%5E2%2F5%5E2-y%5E2%2F3%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a=5 and b=3  <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2=c%5E2-a%5E2 ALIGN=MIDDLE  ALT=\"b%5E2=c%5E2-a%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E2=c%5E2-5%5E2 ALIGN=MIDDLE  ALT=\"3%5E2=c%5E2-5%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9=c%5E2-25 ALIGN=MIDDLE  ALT=\"9=c%5E2-25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2B25=c%5E2-25%2B25 ALIGN=MIDDLE  ALT=\"9%2B25=c%5E2-25%2B25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=34=c%5E2 ALIGN=MIDDLE  ALT=\"34=c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2B-sqrt%2834%29=c ALIGN=MIDDLE  ALT=\"%2B-sqrt%2834%29=c\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Therefore the foci (+\-c,0) are: (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-sqrt%2834%29 ALIGN=MIDDLE  ALT=\"-sqrt%2834%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,0) and (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2834%29 ALIGN=MIDDLE  ALT=\"sqrt%2834%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,0)<BR>\n" );
document.write( "The equations of the asymptotey=+\-(b/a)x are: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%283%2F5%29x ALIGN=MIDDLE  ALT=\"y=-%283%2F5%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%283%2F5%29x ALIGN=MIDDLE  ALT=\"y=%283%2F5%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Happy Calculating!!! </SPAN>\n" );
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