document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1171140>Question 1171140</A>: <I><SPAN STYLE=\"word-break: break-all;\"> While playing basketball, you are attempting to make a 3-point shot. The height in meters of the ball thrown at an angle of 45 degrees is given by the quadratic function h=-16t²+20t+6, where t is the time in seconds after throwing. The ball's horizontal distance in meters from you is modeled by x=6t. Assuming the ball went inside the ring, what is the horizontal distance from you to the ring? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #796075 by </B><A HREF=/tutors/aboutme.mpl?userid=Clanther><B>Clanther(6)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Clanther><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=796075\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> While playing basketball, you are attempting to make a 3-point shot. The height in meters of the ball thrown at an angle of 45 degrees is given by the quadratic function h=-16t²+20t+6, where t is the time in seconds after throwing. The ball's horizontal distance in meters from you is modeled by x=6t. Assuming the ball went inside the ring, what is the horizontal distance from you to the ring?\r<BR>\n" );
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document.write( "Regarding this problem, I don't know if my solution is correct. I've came out with the answer given in the module which is 9 meters.\r<BR>\n" );
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document.write( "Here is my solution:\r<BR>\n" );
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document.write( "By analyzing the problem, the height of the ball as I hold it horizontally is given as h=-16t²+20t+6 and the height of the ball from me as I raised it ready to make a 3-point shot horizontally assuming that it will go inside the ring is x=6t.\r<BR>\n" );
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document.write( "So the distance of the ball from the ground -16t²+20t+6 is subtracted from the distance of the ball as I raised it x=6t.\r<BR>\n" );
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document.write( "Let x be the horizontal distance from me to the ring.\r<BR>\n" );
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document.write( "f(x)=-16t²+20t+6-6t<BR>\n" );
document.write( "    =-16t²+14t+6\r<BR>\n" );
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document.write( "Solve for h in vertex formula h=-d/2a<BR>\n" );
document.write( "      a=-16, b=14, c=6<BR>\n" );
document.write( "      h= -14/2(-16) = 7/16\r<BR>\n" );
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document.write( "Substitute h to t:<BR>\n" );
document.write( "      x= -16t²+14t+6<BR>\n" );
document.write( "      = -16(7/16)² + 14(7/16) + 6<BR>\n" );
document.write( "      = 145/16<BR>\n" );
document.write( "      x= 9meters<BR>\n" );
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