document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=982288>Question 982288</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find an equation in standard form for the hyperbola with vertices at (0, ±10) and asymptotes at <BR>\n" );
document.write( "y = ± 5/4 x\r<BR>\n" );
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document.write( "Here is my work, I would just like to double check my work: <BR>\n" );
document.write( "y= +/- (b/a)x\r<BR>\n" );
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document.write( "x^2/a^2- y^2/b^2 = 1\r<BR>\n" );
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document.write( "x^2/16 - y^2/25 =1 \r<BR>\n" );
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document.write( "Thank you in advance! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #603134 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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/cgi-bin/show-face.mpl?user=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=603134\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "Close, but no cigar.  For a hyperbola centered at the origin, the vertices are at (0,-a) and (0,a).  You were correct to say that a and b are in the ratio 5/4 because of the slopes of the asymptote equations, but you left off the step where you should have calculated the correct value of b based on the fact that a = 10 because of the specification of the vertices.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \  \frac{5}{4}\ =\ \frac{b}{10}\">\r<BR>\n" );
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document.write( "Solve for b and give your equation another try.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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