document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=204443>Question 204443</A>: <I><SPAN STYLE=\"word-break: break-all;\"> hi can you plzz help me with this question...thanks!<BR>\n" );
document.write( "The path of a basketball shot can be modeled by the equation h = -0.09dē + 0.9d + 2 where h is the height of the basketball, in metres, and d is the horizontal distance of the ball from the player, in metres.\r<BR>\n" );
document.write( "\n" );
document.write( "a)  What is the maximum height reached by the ball?\r<BR>\n" );
document.write( "\n" );
document.write( "b) What is the horizontal distance of the ball from the player when it reaches its maximum height?\r<BR>\n" );
document.write( "\n" );
document.write( "c)  How far from the floor is the ball when the player releases it?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #154370 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=154370\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Starting with:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28d%29+=+-0.09d%5E2%2B0.9d%2B2 ALIGN=MIDDLE  ALT=\"h%28d%29+=+-0.09d%5E2%2B0.9d%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a) The maximum h can be found at the vertex of the parabola at:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+%28-0.9%29%2F2%28-0.09%29 ALIGN=MIDDLE  ALT=\"d+=+%28-0.9%29%2F2%28-0.09%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+5 ALIGN=MIDDLE  ALT=\"d+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now substitute this value of d into the given equation and solve for h.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%285%29+=+0.09%285%29%5E2%2B0.9%285%29%2B2 ALIGN=MIDDLE  ALT=\"h%285%29+=+0.09%285%29%5E2%2B0.9%285%29%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%285%29+=+4.25 ALIGN=MIDDLE  ALT=\"h%285%29+=+4.25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The maximum height is 4.25 metres.<BR>\n" );
document.write( "b) The distance d when the ball has reached a height of 4.25 metres is: <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4.25+=+-0.09d%5E2%2B0.9d%2B2 ALIGN=MIDDLE  ALT=\"4.25+=+-0.09d%5E2%2B0.9d%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 4.25 from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-.09d%5E2%2B0.9d-2.25+=+0 ALIGN=MIDDLE  ALT=\"-.09d%5E2%2B0.9d-2.25+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Solve using the quadratic formula:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a ALIGN=MIDDLE  ALT=\"x+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a\"   DISABLED_style= \"max-width:90%; height:auto;\" > where: a = -0.09, b = 0.9, and c = 2.25 and instead of x in the formula, we want to use d, so...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+%28-0.9%2B-sqrt%280.9%5E2-4%28-0.09%29%282.25%29%29%29%2F2%28-0.09%29 ALIGN=MIDDLE  ALT=\"d+=+%28-0.9%2B-sqrt%280.9%5E2-4%28-0.09%29%282.25%29%29%29%2F2%28-0.09%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+%28-0.9%2B-sqrt%280.81-%28-0.81%29%29%29%2F%28-0.18%29 ALIGN=MIDDLE  ALT=\"d+=+%28-0.9%2B-sqrt%280.81-%28-0.81%29%29%29%2F%28-0.18%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+%28-0.9%2B-sqrt%281.62%29%29%2F%28-0.18%29 ALIGN=MIDDLE  ALT=\"d+=+%28-0.9%2B-sqrt%281.62%29%29%2F%28-0.18%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+5 ALIGN=MIDDLE  ALT=\"d+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" >metres.<BR>\n" );
document.write( "c) From the original equation, the ball is 2 metres from the floor when the player releases it.<BR>\n" );
document.write( "The general form of the equation for the height (h) an object propelled upward  with an initial velocity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v%5B0%5D ALIGN=MIDDLE  ALT=\"v%5B0%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > from an initial height of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%5B0%5D ALIGN=MIDDLE  ALT=\"h%5B0%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28t%29+=+-16t%5E2%2Bv%5B0%5Dt%2Bh%5B0%5D ALIGN=MIDDLE  ALT=\"h%28t%29+=+-16t%5E2%2Bv%5B0%5Dt%2Bh%5B0%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%5B0%5D ALIGN=MIDDLE  ALT=\"h%5B0%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );