document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=422826>Question 422826</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the Foci of the hyperbola defined by the equation.The equation is (x+5)^2/9 -(y+8)^2/64 = 1.Please help I have no Idea how to do this. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #295716 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=295716\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the Foci of the hyperbola defined by the equation.The equation is (x+5)^2/9 -(y+8)^2/64 = 1.Please help I have no Idea how to do this.\r<BR>\n" );
document.write( "\n" );
document.write( "..<BR>\n" );
document.write( "(x+5)^2/9-(y+8)^2/64=1<BR>\n" );
document.write( "Standard form of a hyperbola:  <BR>\n" );
document.write( "y=(x-h)^2/a^2-(y-k)^2/b^2=1, with (h,k) being the (x,y) coordinates of the <BR>\n" );
document.write( "center. If the x^2 term is listed first, the hyperbola would have a horizontal transverse axis.  If the y^2 term is listed first, the hyperbola would have a vertical transverse axis.<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Given hyperbola has a center at (-5,-8) and a horizontal transverse axis, that is, the hyperbola opens sideways.<BR>\n" );
document.write( "a^2=9<BR>\n" );
document.write( "a=3<BR>\n" );
document.write( "b^2=64<BR>\n" );
document.write( "b=8<BR>\n" );
document.write( "c^2=a^2+b^2<BR>\n" );
document.write( "c=sqrt(9+64)=sqrt(73)=8.54<BR>\n" );
document.write( "The foci is on the transverse axis, y=-8,<BR>\n" );
document.write( "Its coordinates are:(-5+-c,-8) or (13.54,-8) and (3.54,-8)<BR>\n" );
document.write( "The graph below might help you understand the problem better.<BR>\n" );
document.write( "..<BR>\n" );
document.write( "y=-8+-(64((x+5)^2/9-1))^.5<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+400%2C+400%2C+-20%2C+20%2C+-20%2C+20%2C+-8%2B%2864%28%28x%2B5%29%5E2%2F9-1%29%29%5E.5%2C-8-%2864%28%28x%2B5%29%5E2%2F9-1%29%29%5E.5%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );