document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=242592>Question 242592</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The Gateway Arch in St. Louis, Missouri, has a shape similar to that of a parabola. The edge of the arch can be modeled by<BR>\n" );
document.write( "h= -(2/319)x^2+(92/21)x-(864/7)<BR>\n" );
document.write( "where x and h are measured in feet. How high is the arch? Answer in units of ft.<BR>\n" );
document.write( "Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #177881 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=177881\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The Gateway Arch in St. Louis, Missouri, has a shape similar to that of a parabola.<BR>\n" );
document.write( " The edge of the arch can be modeled by<BR>\n" );
document.write( "h= -(2/319)x^2+(92/21)x-(864/7)<BR>\n" );
document.write( "where x and h are measured in feet. How high is the arch? Answer in units of ft.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "The graph of this equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-300%2C+800%2C+-300%2C+800%2C-%282%2F319%29x%5E2%2B%2892%2F21%29x-%28864%2F7%29+%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "The axis of symmetry would be thru the highest point:<BR>\n" );
document.write( "The equation for this: x = -b/(2*a)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "In this equation: a=-2/319, b=92/21<BR>\n" );
document.write( ":<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-92%2F21%29%2F%282%2A%28-2%2F319%29%29 ALIGN=MIDDLE  ALT=\"%28-92%2F21%29%2F%282%2A%28-2%2F319%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2892%2F21%29%2F%284%2F319%29 ALIGN=MIDDLE  ALT=\"%2892%2F21%29%2F%284%2F319%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2892%2F21%29%2A%28319%2F4%29 ALIGN=MIDDLE  ALT=\"%2892%2F21%29%2A%28319%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=29349%2F84 ALIGN=MIDDLE  ALT=\"29349%2F84\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 349.38 ft is the axis of symmetry<BR>\n" );
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document.write( "How high?<BR>\n" );
document.write( "Substitute 349.38 for x in the given equation to find the height<BR>\n" );
document.write( ":<BR>\n" );
document.write( "h= -(2/319)x^2 + (92/21)x - (864/7)<BR>\n" );
document.write( "h = -(2/319)(349.38^2) + (92/21)(349.38) - (864/7)<BR>\n" );
document.write( "I'll let you do the math here </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );