document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=166306>Question 166306</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, <BR>\n" );
document.write( "I am having a hard time solving this problem and iwas wondering if you can help me. #1 One side of a rectangle stage is 2 meters longer that the other. If the diagnonal is 10 meters then what is the lenghts of the sides.\r<BR>\n" );
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document.write( "#2. An angry constuction worker throws his wench downward from a height of 128 feet with am initial velocity of 32 feet per second. The height of he wrench above the ground after t seconds is given by S(t0 = 16^2-32t+ 128.<BR>\n" );
document.write( "A. what is the height of the wrench after 1 second?<BR>\n" );
document.write( "B. How long does it take for the wrench to reach the ground? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #122577 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=122577\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> #1 One side of a rectangle stage is 2 meters longer that the other. If the diagnonal is 10 meters then what is the lenghts of the sides. <BR>\n" );
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document.write( "Let x = a side of rectangle<BR>\n" );
document.write( "then<BR>\n" );
document.write( "x+2 = other side of rectangle<BR>\n" );
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document.write( "Applying pythagorean's theorem:<BR>\n" );
document.write( "x^2 + (x+2)^2 = 10^2<BR>\n" );
document.write( "x^2 + x^2+4x+4 = 100<BR>\n" );
document.write( "2x^2 + 4x + 4 = 100<BR>\n" );
document.write( "2x^2 + 4x - 96 = 0<BR>\n" );
document.write( "x^2 + 2x - 48 = 0<BR>\n" );
document.write( "Factoring the left:<BR>\n" );
document.write( "(x+8)(x-6) = 0<BR>\n" );
document.write( "x = {-8, 6}<BR>\n" );
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document.write( "We can toss out negative solution since it won't make sense to have a negative length.<BR>\n" );
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document.write( "x = 6 meters<BR>\n" );
document.write( "x+2 = 8 meters<BR>\n" );
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document.write( "#2. An angry constuction worker throws his wench downward from a height of 128 feet with am initial velocity of 32 feet per second. The height of he wrench above the ground after t seconds is given by S(t0 = 16^2-32t+ 128.<BR>\n" );
document.write( "A. what is the height of the wrench after 1 second?<BR>\n" );
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document.write( "Plug in the given values into the provided equation of:<BR>\n" );
document.write( "S(t) = 16^2-32t+ 128<BR>\n" );
document.write( "S(1) = 16^2-32(1)+ 128<BR>\n" );
document.write( "S(1) = 256 -32 + 128<BR>\n" );
document.write( "S(1) = 224 + 128<BR>\n" );
document.write( "S(1) = 352 feet<BR>\n" );
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document.write( "B. How long does it take for the wrench to reach the ground?<BR>\n" );
document.write( "Set equation to zero and solve for t:<BR>\n" );
document.write( "S(t) = 16^2-32t+ 128<BR>\n" );
document.write( "0 = 16^2-32t+ 128<BR>\n" );
document.write( "0 = 256 -32t+ 128<BR>\n" );
document.write( "0 = 384 -32t<BR>\n" );
document.write( "32t = 384<BR>\n" );
document.write( "t = 12 seconds\r<BR>\n" );
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document.write( " </SPAN>\n" );
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