document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1180218>Question 1180218</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The hyperbolic cross-section of a cooling tower is given by the equation 4x2 − y2 + 16y − 80 = 0. The center of the cooling tower is the same as the center of the hyperbola, and the x-axis represents the ground surface.\r<BR>\n" );
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document.write( "The diameter at the center of the tower is ? meters<BR>\n" );
document.write( "The center of the tower is ? meters above the ground. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #809845 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=809845\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2+-+y%5E2+%2B+16y+-+80+=+0+ ALIGN=MIDDLE  ALT=\"4x%5E2+-+y%5E2+%2B+16y+-+80+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >........complete squares\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2+-+%28y%5E2+-16y%2Bb%5E2%29+-%28-b%5E2%29-+80+=+0 ALIGN=MIDDLE  ALT=\"4x%5E2+-+%28y%5E2+-16y%2Bb%5E2%29+-%28-b%5E2%29-+80+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >...........<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( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2+-+%28y%5E2+-16y%2B8%5E2%29+%2B8%5E2-+80+=+0 ALIGN=MIDDLE  ALT=\"4x%5E2+-+%28y%5E2+-16y%2B8%5E2%29+%2B8%5E2-+80+=+0\"   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=4x%5E2+-+%28y+-8%29%5E2%2B64-+80+=+0 ALIGN=MIDDLE  ALT=\"4x%5E2+-+%28y+-8%29%5E2%2B64-+80+=+0\"   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=4x%5E2+-+%28y+-8%29%5E2+=16 ALIGN=MIDDLE  ALT=\"4x%5E2+-+%28y+-8%29%5E2+=16\"   DISABLED_style= \"max-width:90%; height:auto;\" >...........both sides divide by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16 ALIGN=MIDDLE  ALT=\"16\"   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=4x%5E2%2F16+-+%28y+-8%29%5E2%2F16+=16%2F16 ALIGN=MIDDLE  ALT=\"4x%5E2%2F16+-+%28y+-8%29%5E2%2F16+=16%2F16\"   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=x%5E2%2F4+-+%28y+-8%29%5E2%2F16+=1 ALIGN=MIDDLE  ALT=\"x%5E2%2F4+-+%28y+-8%29%5E2%2F16+=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=h=0 ALIGN=MIDDLE  ALT=\"h=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=8 ALIGN=MIDDLE  ALT=\"k=8\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=2 ALIGN=MIDDLE  ALT=\"a=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b=4 ALIGN=MIDDLE  ALT=\"+b=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "center is at (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8 ALIGN=MIDDLE  ALT=\"8\"   DISABLED_style= \"max-width:90%; height:auto;\" >) <BR>\n" );
document.write( "The diameter at the center of the tower is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   DISABLED_style= \"max-width:90%; height:auto;\" > meters (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=2 ALIGN=MIDDLE  ALT=\"a=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > from each side of the center)<BR>\n" );
document.write( "The center of the tower is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8 ALIGN=MIDDLE  ALT=\"8\"   DISABLED_style= \"max-width:90%; height:auto;\" > meters above the ground. (y coordinates of the center)\r<BR>\n" );
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document.write( " </SPAN>\n" );
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