document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=604372>Question 604372</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write an equation of the hyperbola with vertices at (–7, 0) and (7, 0) and foci at (–9, 0) and (9, 0) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #381189 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=381189\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write an equation of the hyperbola with vertices at (–7, 0) and (7, 0) and foci at (–9, 0) and (9, 0)<BR>\n" );
document.write( "This is a hyperbola with horizontal transverse axis.<BR>\n" );
document.write( "Its standard form of equation: (x-h)^2/a^2-(y-k)^2/b^2=1, (h,k)=(x,y) coordinates of center.<BR>\n" );
document.write( "For given hyperbola:<BR>\n" );
document.write( "center: (0,0)<BR>\n" );
document.write( "length of horizontal transverse axis=14=2a<BR>\n" );
document.write( "a=7<BR>\n" );
document.write( "a^2=49<BR>\n" );
document.write( "..<BR>\n" );
document.write( "foci<BR>\n" );
document.write( "c=9<BR>\n" );
document.write( "c^2=81<BR>\n" );
document.write( "..<BR>\n" );
document.write( "c^2=a^2+b^2<BR>\n" );
document.write( "b^2=c^2-a^2=81-49=32<BR>\n" );
document.write( "b=&#8730;32&#8776;5.6<BR>\n" );
document.write( "..<BR>\n" );
document.write( "equation:<BR>\n" );
document.write( "x^2/49-y^2/32=1<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );