document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=366737>Question 366737</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. A rocket is fired upward at an initial velocity of 1008 ft/s from a tower that is 120 ft high. When will the rocket reach a height of 3896 ft above ground level? H=VT-16t^2\r<BR>\n" );
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document.write( "2. The length of a rectangular table is 1 ft more than twice the length of a side of a square rug and the width of the table is 3 ft less than the length of a side of the rug. If the area of the table is 81 ft^2 greater than the area of the rug, what is the area of the rug? \r<BR>\n" );
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document.write( "Please help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #261453 by </B><A HREF=/tutors/aboutme.mpl?userid=amoresroy><B>amoresroy(361)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=amoresroy><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=amoresroy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=261453\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. A rocket is fired upward at an initial velocity of 1008 ft/s from a tower that is 120 ft high. When will the rocket reach a height of 3896 ft above ground level? H=VT-16t^2\r<BR>\n" );
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document.write( "Let t =  the number of seconds the rocket will reach a height of 3896 ft above ground level after it is fired upward \r<BR>\n" );
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document.write( "3896 - 120 = 1008t - 16t^t<BR>\n" );
document.write( "16t^2 - 1008t + 3776<BR>\n" );
document.write( "Divide both sides by 16<BR>\n" );
document.write( "t^2 - 63t - 236<BR>\n" );
document.write( "Solve for t by factoring<BR>\n" );
document.write( "(t-4)(t-59) = 0\r<BR>\n" );
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document.write( "t-4 = 0<BR>\n" );
document.write( "t = 4 \r<BR>\n" );
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document.write( "The rocket will reach a height of 3896 ft above ground level 4 seconds after it is fired upward \r<BR>\n" );
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document.write( "2. The length of a rectangular table is 1 ft more than twice the length of a side of a square rug and the width of the table is 3 ft less than the length of a side of the rug. If the area of the table is 81 ft^2 greater than the area of the rug, what is the area of the rug? \r<BR>\n" );
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document.write( "Let L = length of table<BR>\n" );
document.write( "    W = width of table<BR>\n" );
document.write( "    R = side of square rug\r<BR>\n" );
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document.write( "1st equation<BR>\n" );
document.write( "L = 2R + 1\r<BR>\n" );
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document.write( "2nd equation<BR>\n" );
document.write( "W = R - 3\r<BR>\n" );
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document.write( "3rd equation<BR>\n" );
document.write( "WL = R^2 + 81\r<BR>\n" );
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document.write( "Substitute the values of L & W in terms of R <BR>\n" );
document.write( "(R-3)(2R+1) = R^2 + 81<BR>\n" );
document.write( "2R^2-6R+R-3 = R^2 +81<BR>\n" );
document.write( "Combine like terms<BR>\n" );
document.write( "R^2 -5R - 84 = 0\r<BR>\n" );
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document.write( "Solve by factoring<BR>\n" );
document.write( "(R+7) (R-12)<BR>\n" );
document.write( "R = 12\r<BR>\n" );
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document.write( "Area of rug is 12^= 144 ft^2\r<BR>\n" );
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