document.write( "Question 635476: A ball is tossed from a window that is 10 feet off the ground. The height, h (in feet), of the ball at any time, t (in seconds), is given by the equation h = - 16 t^2 + 12x + 10. What is the maximum height (in feet) that the ball will reach? \n" ); document.write( "

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A ball is tossed from a window that is 10 feet off the ground. The height, h (in feet), of the ball at any time, t (in seconds), is given by the equation h = - 16 t^2 + 12x + 10. What is the maximum height (in feet) that the ball will reach?
\n" ); document.write( "**
\n" ); document.write( "h = - 16 t^2 + 12x + 10
\n" ); document.write( "This is an equation of a parabola that opens downwards (function has a maximum)
\n" ); document.write( "Its standard form: y=(x-h)^2+k, (h,k)=(x,y) coordinates of vertex, k=maximum value
\n" ); document.write( "complete the square
\n" ); document.write( "h=-16(t^2-(12/16)t)+10
\n" ); document.write( "=-16(t^2-(3/4)t)+10
\n" ); document.write( "=-16(t^2-(3/4)t+9/64)+9/4+10
\n" ); document.write( "=-16(t-(3/8)^2+9/4+40/4
\n" ); document.write( "h=-16(t-(3/8)^2+49/4
\n" ); document.write( "maximum height that the ball will reach=12.25 ft \n" ); document.write( "

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