document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1136097>Question 1136097</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 y = ± five divided by four times x.. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #753901 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=753901\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find an equation in standard form for the hyperbola with vertices at (0, ±10) and asymptotes at y = ± (5/4)x.\r<BR>\n" );
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document.write( "The equation of this hyperbola in standard form:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2+%2F+a%5E2+-+x%5E2+%2F+b%5E2+=+1 ALIGN=MIDDLE  ALT=\"y%5E2+%2F+a%5E2+-+x%5E2+%2F+b%5E2+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+ ALIGN=MIDDLE  ALT=\"y+\"   DISABLED_style= \"max-width:90%; height:auto;\" >= ±<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28+a%2Fb+%29x ALIGN=MIDDLE  ALT=\"%28+a%2Fb+%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "±<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2F4%29x+ ALIGN=MIDDLE  ALT=\"%285%2F4%29x+\"   DISABLED_style= \"max-width:90%; height:auto;\" >= ±<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28+a%2Fb+%29x ALIGN=MIDDLE  ALT=\"%28+a%2Fb+%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+%2F+b+=+5+%2F+4 ALIGN=MIDDLE  ALT=\"a+%2F+b+=+5+%2F+4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+10 ALIGN=MIDDLE  ALT=\"a+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10+%2F+b+=+5+%2F+4 ALIGN=MIDDLE  ALT=\"10+%2F+b+=+5+%2F+4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+%2810%2A4%29%2F5 ALIGN=MIDDLE  ALT=\"b+=+%2810%2A4%29%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+8 ALIGN=MIDDLE  ALT=\"b+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The equation of the hyperbola is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2+%2F+10%5E2+-+x%5E2%2F+8%5E2+=+1 ALIGN=MIDDLE  ALT=\"y%5E2+%2F+10%5E2+-+x%5E2%2F+8%5E2+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2+%2F+100+-+x%5E2%2F+64+=+1 ALIGN=MIDDLE  ALT=\"y%5E2+%2F+100+-+x%5E2%2F+64+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+600%2C+600%2C+-35%2C+35%2C+-35%2C+35%2C-sqrt%28100%28x%5E2%2F+64%2B1%29%29+%2Csqrt%28100%28x%5E2%2F+64%2B1%29%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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