document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=136464>Question 136464</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0131994573/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Could someone please help me with my homework, I just dont get it. I have 2 word problems and 2 other problems.\r<BR>\n" );
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document.write( "1. find the exact length of the side of a square which has a diagonal of 100 feet.\r<BR>\n" );
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document.write( "2. The hypotenuse of a right triangle measures 100 inches, and one leg measures 50 inches. Find the measure of the other leg.<BR>\n" );
document.write( "    a. give its length in simplified radical form.<BR>\n" );
document.write( "    b. Round the answer to the nearest thousandth.\r<BR>\n" );
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document.write( "3. 10 the square root of 250x - 10 the square root of 160x + 6 the square root of 10x\r<BR>\n" );
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document.write( "4.(the square root of x - 9) ( the square root of x + 9)\r<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 #99954 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=99954\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. find the exact length of the side of a square which has a diagonal of 100 feet.<BR>\n" );
document.write( "Draw the picture of a square and its diagonal of 100 ft.<BR>\n" );
document.write( "Label each of the sides as \"x\".<BR>\n" );
document.write( "Use Pythagoras to get:<BR>\n" );
document.write( "100^2 = x^2 + x^2<BR>\n" );
document.write( "2x^2 = 100^2<BR>\n" );
document.write( "x^2 = 2*100^2<BR>\n" );
document.write( "x = 100*sqrt(2) ft.<BR>\n" );
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document.write( "2. The hypotenuse of a right triangle measures 100 inches, and one leg measures 50 inches. Find the measure of the other leg.<BR>\n" );
document.write( "100^2 = 50^2 + x^2<BR>\n" );
document.write( "x^2 = 100^2 - 50^2<BR>\n" );
document.write( "x^2 = 7500<BR>\n" );
document.write( "x^2 = 2500*3<BR>\n" );
document.write( "x = 50*sqrt(3) inches<BR>\n" );
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document.write( "a. give its length in simplified radical form.: 50*sqrt(3) inches<BR>\n" );
document.write( "b. Round the answer to the nearest thousandth.86.6025... <BR>\n" );
document.write( "3. 10 the square root of 250x - 10 the square root of 160x + 6 the square root of 10x<BR>\n" );
document.write( "10*sqrt(250)x - 10*sqrt(160)x + 6*sqrt(10)x<BR>\n" );
document.write( "=  50*sqrt(10)x - 4*sqrt(10)x + 6*sqrt(10)x<BR>\n" );
document.write( "=  52*sqrt(10)x<BR>\n" );
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document.write( "4.(the square root of x - 9) ( the square root of x + 9)<BR>\n" );
document.write( "Use FOIL:<BR>\n" );
document.write( "F: sqrt(x)*sqrt(x) = x<BR>\n" );
document.write( "O: 9*sqrt(x)<BR>\n" );
document.write( "I:-9*sqrt(x)<BR>\n" );
document.write( "L: -9*9= -81<BR>\n" );
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document.write( "Ans: x-81<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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