document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=756556>Question 756556</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 13) Write the equation for a hyperbola with the following:<BR>\n" );
document.write( "a. foci at (±5, 7) and vertices at (±3, 7)<BR>\n" );
document.write( "b. a horizontal transverse axis, a = 5 and c = 13 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #460305 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=460305\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write the equation for a hyperbola with the following:<BR>\n" );
document.write( "a. foci at (±5, 7) and vertices at (±3, 7)<BR>\n" );
document.write( "Given 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( "y-coordinate of center=7<BR>\n" );
document.write( "x-coordinate of center=0 (midpoint of vertices or foci)<BR>\n" );
document.write( "center:(0,7)<BR>\n" );
document.write( "a=3 (distance from center to vertices)<BR>\n" );
document.write( "a^2=9<BR>\n" );
document.write( "c=5 (distance from center to foci)<BR>\n" );
document.write( "c^2=25<BR>\n" );
document.write( "c^2=a^2+b^2<BR>\n" );
document.write( "b^2=c^2-a^2=25-9=16<BR>\n" );
document.write( "Equation of given hyperbola:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2F9-%28y-7%29%5E2%2F16=1 ALIGN=MIDDLE  ALT=\"x%5E2%2F9-%28y-7%29%5E2%2F16=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "..<BR>\n" );
document.write( "b. a horizontal transverse axis, a = 5 and c = 13<BR>\n" );
document.write( "b^2=c^2-a^2=169-25=144<BR>\n" );
document.write( "center not given, assume (0,0)<BR>\n" );
document.write( "Equation:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2F25-y%5E2%2F144=1 ALIGN=MIDDLE  ALT=\"x%5E2%2F25-y%5E2%2F144=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );