document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=860057>Question 860057</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the hyperbola given that the vertices are at (0, ±4) and the foci are at (0, ±7). Show all your work. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #518323 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=518323\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the hyperbola given that the vertices are at (0, ±4) and the foci are at (0, ±7). Show all your work.<BR>\n" );
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document.write( "Given data shows hyperbola has a vertical transverse axis with center at the origin.<BR>\n" );
document.write( "Its standard form of equation: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2%2Fa%5E2-x%5E2%2Fb%5E2=1 ALIGN=MIDDLE  ALT=\"y%5E2%2Fa%5E2-x%5E2%2Fb%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a=4<BR>\n" );
document.write( "a^2=16<BR>\n" );
document.write( "c=7<BR>\n" );
document.write( "c^2=49<BR>\n" );
document.write( "c^2=a^2+b^2<BR>\n" );
document.write( "b^2=c^2-a^2=49-16=33<BR>\n" );
document.write( "Equation of given hyperbola:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2%2F16-x%5E2%2F33=1 ALIGN=MIDDLE  ALT=\"y%5E2%2F16-x%5E2%2F33=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
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