document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=248262>Question 248262</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you please help with these word problems I am terrible at word problems. I listed the problems below along with what I could figure out. Thanks in advance.\r<BR>\n" );
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document.write( "Solving Quadratic Equations by Factoring\r<BR>\n" );
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document.write( "1. Address book. The perimeter of the cover of an address book<BR>\n" );
document.write( "is 14 inches, and the diagonal measures 5 inches. What are<BR>\n" );
document.write( "the length and width of the cover?\r<BR>\n" );
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document.write( "  x^2+14=5^2<BR>\n" );
document.write( "x^2+x^2+14=25<BR>\n" );
document.write( "2x^2+14=25<BR>\n" );
document.write( "    -14=-14<BR>\n" );
document.write( "   2x^2=11 don't know if this is right thus far and where to go from here.\r<BR>\n" );
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document.write( "2. Throwing a wrench. An angry construction worker throws<BR>\n" );
document.write( "his wrench downward from a height of 128 feet with an<BR>\n" );
document.write( "initial velocity of 32 feet per second. The height of the<BR>\n" );
document.write( "wrench above the ground after t seconds is given<BR>\n" );
document.write( "by S(t)-16t^2-32t+128.\r<BR>\n" );
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document.write( "   -16(t+4)(t-2)is what I have so far!!\r<BR>\n" );
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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<BR>\n" );
document.write( "ground?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #180923 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=180923\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solving Quadratic Equations by Factoring <BR>\n" );
document.write( "1. Address book. The perimeter of the cover of an address book<BR>\n" );
document.write( "is 14 inches, and the diagonal measures 5 inches. What are<BR>\n" );
document.write( "the length and width of the cover? <BR>\n" );
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document.write( "Equations:\r<BR>\n" );
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document.write( "P = 2(L + W)<BR>\n" );
document.write( "L^2 + W^2 = 5^2<BR>\n" );
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document.write( "7 = L + W<BR>\n" );
document.write( "L = 7-W<BR>\n" );
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document.write( "Substitute for \"L\" and solve for \"W\":<BR>\n" );
document.write( "(7-W)^2 + W^2 = 25<BR>\n" );
document.write( "49 - 2W + 2W^2 = 25<BR>\n" );
document.write( "2w^2 - 2w + 24 = 0<BR>\n" );
document.write( "w^2 - w + 12 = 0<BR>\n" );
document.write( "(w-4)(w+3) = 0<BR>\n" );
document.write( "Positive solution: <BR>\n" );
document.write( "W = 4 (width)<BR>\n" );
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document.write( "Then L = 3 (length)<BR>\n" );
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document.write( "2. Throwing a wrench. An angry construction worker throws<BR>\n" );
document.write( "his wrench downward from a height of 128 feet with an<BR>\n" );
document.write( "initial velocity of 32 feet per second. The height of the<BR>\n" );
document.write( "wrench above the ground after t seconds is given<BR>\n" );
document.write( "by S(t)= -16t^2-32t+128. <BR>\n" );
document.write( "-16(t+4)(t-2)is what I have so far!! <BR>\n" );
document.write( "a) What is the height of the wrench after 1 second?<BR>\n" );
document.write( "Solve S(1) = -16-32+128 = -48+128 = 80 ft.<BR>\n" );
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document.write( "b) How long does it take for the wrench to reach the<BR>\n" );
document.write( "ground?<BR>\n" );
document.write( "When the wrench is on the ground S(t) is zero.<BR>\n" );
document.write( "So -16t^2-32t+128 = 0<BR>\n" );
document.write( "-16(t+4)(t-2) = 0<BR>\n" );
document.write( "Positive solution:<BR>\n" );
document.write( "t = 2 seconds<BR>\n" );
document.write( "======================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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