document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=999197>Question 999197</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The arch under the kemp channel bridge is in the shape of a parabola lake archway. The arch is modeled by the equation h(x)=16x-x^2, where h(x) is the distance, in feet, the archer is above the water from the value of x.<BR>\n" );
document.write( "A. For what value of X will the Archway be 28 feet above the water?<BR>\n" );
document.write( "B. How wide is the Archway At the water?<BR>\n" );
document.write( "C. What is the maximum height of the arch? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #616969 by </B><A HREF=/tutors/aboutme.mpl?userid=Cromlix><B>Cromlix(4381)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Cromlix><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=Cromlix><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=616969\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi there,<BR>\n" );
document.write( "h(x) = 16x - x^2.<BR>\n" );
document.write( "A) For what value of X will the Archway be 28 feet above the water?<BR>\n" );
document.write( "28 = 16x - x^2<BR>\n" );
document.write( "Multiply through by -1<BR>\n" );
document.write( "x^2 - 16x + 28 = 0<BR>\n" );
document.write( "(x - 2)(x - 14) = 0<BR>\n" );
document.write( "x = 2 and x = 14<BR>\n" );
document.write( "B) How wide is the Archway At the water?<BR>\n" );
document.write( "16x - x^2 = 0<BR>\n" );
document.write( "x(16 - x) = 0<BR>\n" );
document.write( "x = 0 and x = 16<BR>\n" );
document.write( "Width = 16 ft<BR>\n" );
document.write( "C)What is the maximum height of the arch?<BR>\n" );
document.write( "Mid point x = 8<BR>\n" );
document.write( "h(x) = 16(8) - 8^2<BR>\n" );
document.write( "h(x) = 128 - 64<BR>\n" );
document.write( "Height = 64 ft.<BR>\n" );
document.write( "Hope this helps :-) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );