document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=95830>Question 95830</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 19.	Find the constant term that should be added to make the following expression a perfect-square trinomial.  x2 + 9x (for this question my answer was 81/2 is it correct?)\r<BR>\n" );
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document.write( "23.	The length of a rectangle is 3 cm more than 2 times its width.  If the area of the rectangle is 95 cm2, find the dimensions of the rectangle to the nearest thousandth.\r<BR>\n" );
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document.write( "24.	Find the x-intercepts.  y = x2 – 3x – 11\r<BR>\n" );
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document.write( "25.	Find the axis of symmetry  y = x2 – x \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 #69801 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=69801\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 19.	Find the constant term that should be added to make the following expression a perfect-square trinomial.  x2 + 9x (for this question my answer was 81/2 is it correct?)<BR>\n" );
document.write( "It has to be [(1/2)9}^2 which equals (9/2)^2<BR>\n" );
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document.write( "23.	The length of a rectangle is 3 cm more than 2 times its width.  If the area of the rectangle is 95 cm2, find the dimensions of the rectangle to the nearest thousandth.<BR>\n" );
document.write( "Let width be \"x\"; length = \"2x+3\"<BR>\n" );
document.write( "Area = x (2x+3)<BR>\n" );
document.write( "95 = 2x^2+3x<BR>\n" );
document.write( "2x^2+3x-95 = 0<BR>\n" );
document.write( "x = [-3 +- sqrt(3^2-4*2*-95)]/4<BR>\n" );
document.write( "x = [-3 +- sqrt(769)]/4<BR>\n" );
document.write( "x = [-3 + 27.731]/4<BR>\n" );
document.write( "x = 6.1827...cm (width of the rectangle)<BR>\n" );
document.write( "2x+3 = 15.3654 cm (length of the rectangle)\r<BR>\n" );
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document.write( "24.	Find the x-intercepts.  y = x2 – 3x – 11<BR>\n" );
document.write( "x^2-3x-11 = 0<BR>\n" );
document.write( "Use the quadratic formula to find two values for \"x\".<BR>\n" );
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document.write( "25.	Find the axis of symmetry  y = x^2 – x\r<BR>\n" );
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document.write( "Complete the square on the x-terms:<BR>\n" );
document.write( "x^2-x + ? = y+?<BR>\n" );
document.write( "x^2-x+[(1/2)(-1)]^2 = y + [1/2]^2<BR>\n" );
document.write( "x^2-x+(1/4) = y+(1/4)<BR>\n" );
document.write( "Factor to get:<BR>\n" );
document.write( "(x-(1/2))^2 = y+(1/4)<BR>\n" );
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document.write( "This tells you:<BR>\n" );
document.write( "vertex at (1/2 , -1/4)<BR>\n" );
document.write( "axis of symmetry: x = 1/2<BR>\n" );
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document.write( "Cheers<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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