document.write( "Question 1036396: A bridge is supported by three arches. The function that describes the arches is h (x)= -0.2x square + 3.0x, where h (x) is the height, in meters, of the arch above the ground at any distance, x, in metres, from one end of the bridge. How tall is each arch? \n" ); document.write( "

Algebra.Com's Answer #651055 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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A bridge is supported by three arches.
\n" ); document.write( " The function that describes the arches is h (x)= -0.2x square + 3.0x, where h (x) is the height, in meters, of the arch above the ground at any distance, x, in metres, from one end of the bridge.
\n" ); document.write( " How tall is each arch?
\n" ); document.write( ":
\n" ); document.write( "Maximum occurs on the axis of symmetry, find that using x = -b/(2a),where:
\n" ); document.write( "a = -.2
\n" ); document.write( "b = 3
\n" ); document.write( "x = $\"%28-3%29%2F%282%2A-.2%29\"$
\n" ); document.write( "x = 7.5 meters
\n" ); document.write( ":
\n" ); document.write( "Find the max height, replace x with 7.5
\n" ); document.write( "h(x) = -.2(7.5^2) + 3(7.5)
\n" ); document.write( "h(x) = -.2(56.25) + 22.5
\n" ); document.write( "h(x) = -11.25 + 22.5
\n" ); document.write( "h(x) = 11.25 meters is the height of the arches
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "looks like this, green line is 11.25 meters
\n" ); document.write( " $\"+graph%28+300%2C+200%2C+-10%2C+20%2C+-5%2C+15%2C+-.2x%5E2%2B3x%2C+11.25%29+\"$
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