document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=562473>Question 562473</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the equation for a hyperbola with a center (0,0) co-vertex (o,-9)and focus (-41,0) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #364660 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=364660\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> what is the equation for a hyperbola with a center (0,0) co-vertex (o,-9)and focus (-41,0)<BR>\n" );
document.write( "**<BR>\n" );
document.write( "Standard form of equation for a hyperbola with horizontal transverse axis: <BR>\n" );
document.write( "(x-h)^2/a^2-(y-k)^2/b^2=1, (h,k) being the (x,y) coordinates of the center.<BR>\n" );
document.write( "For given hyperbola:<BR>\n" );
document.write( "center: (0,0)<BR>\n" );
document.write( "length of conjugate axis(co-vertex)=18=2b<BR>\n" );
document.write( "b=9<BR>\n" );
document.write( "b^2=81<BR>\n" );
document.write( "c=41<BR>\n" );
document.write( "c^2=a^2+b^2<BR>\n" );
document.write( "a^2=c^2-b^2=41^2-81=1681-81=1600<BR>\n" );
document.write( "a=40<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "x^2/1600-y^2/81=1 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );