document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=995545>Question 995545</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A cable suspended between two posts that are the same height and 10 meters apart has a sag of 1 meter. If the cable hangs in the form of a parabola, find its equation, taking the lowest point as the origin.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #614290 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=614290\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A cable suspended between two posts that are the same height and 10 meters apart has a sag of 1 meter. If the cable hangs in the form of a parabola, find its equation, taking the lowest point as the origin.<BR>\n" );
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document.write( "Sketch the figure on an x/y coordinate system.<BR>\n" );
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document.write( "Place the lowest point at (0,0)<BR>\n" );
document.write( "The top of the posts will be at (-5,10) and (5,10)<BR>\n" );
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document.write( "Procedure::<BR>\n" );
document.write( "Form:: ax^2 + bx + c = y<BR>\n" );
document.write( "Using (-5,10) you get: 25a - 5b = 10<BR>\n" );
document.write( "Using (5,10) you get: 25a + 5b = 10<BR>\n" );
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document.write( "50a = 20<BR>\n" );
document.write( "a = 2/5<BR>\n" );
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document.write( "Solve for \"b\"::<BR>\n" );
document.write( "25a + 5b = 10<BR>\n" );
document.write( "25a + 2 = 10<BR>\n" );
document.write( "25a = 8<BR>\n" );
document.write( "a = 8/25<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "y = (8/25)x^2 + (2/5)x <BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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