document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=148903>Question 148903</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 12. 6x� +5x� +7x \r<BR>\n" );
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document.write( "prime <BR>\n" );
document.write( "(3x +1)(2x +1) <BR>\n" );
document.write( "(2x +7)(3x +1) <BR>\n" );
document.write( "x(6x� +5x + 7) \r<BR>\n" );
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document.write( "13. 4x� +14x -30 \r<BR>\n" );
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document.write( "2(2x -3)(x +5) <BR>\n" );
document.write( "2(2x -5)(x +3) <BR>\n" );
document.write( "(4x -6)((x +5) <BR>\n" );
document.write( "(2x -3)(2x +10) \r<BR>\n" );
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document.write( "14. 4x -8/(6x� -12x) \r<BR>\n" );
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document.write( "(2x -2)/(3x� -3x) <BR>\n" );
document.write( "2/3 <BR>\n" );
document.write( "4/(6x) <BR>\n" );
document.write( " 2/(3x) \r<BR>\n" );
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document.write( "15. (3x -9)/(4x +20) . (x� +3x -10)/(6x� -12x) \r<BR>\n" );
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document.write( "\n" );
document.write( "3/4 <BR>\n" );
document.write( "(x -5)/(4(x +5)) <BR>\n" );
document.write( "(x -3)/(8x) <BR>\n" );
document.write( "-3/8 \r<BR>\n" );
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document.write( "16. (x� -4x -5)/(x� +2x +1) � (x -5)/(x +4) \r<BR>\n" );
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document.write( "(x -5)�/((x +1)(x +4)) <BR>\n" );
document.write( "5 <BR>\n" );
document.write( " (x +1)(x +4)/(x� +1) <BR>\n" );
document.write( "(x +4)/(x +1) \r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "17. Find the slope of a line passing through (-4, 6) and (-2, 5) \r<BR>\n" );
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document.write( "-1/2 <BR>\n" );
document.write( "-2 <BR>\n" );
document.write( "1/2 <BR>\n" );
document.write( "1/6 \r<BR>\n" );
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document.write( "18. Find the equation of the line passing through (2, 4) and (-3, 8) \r<BR>\n" );
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document.write( "4x +5y = 28 <BR>\n" );
document.write( "4x -5y = -12 <BR>\n" );
document.write( "5x +4y = 26 <BR>\n" );
document.write( "5x -4y = -6 \r<BR>\n" );
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document.write( "19. <BR>\n" );
document.write( "x +y = 2<BR>\n" );
document.write( "3x -2y = 6\r<BR>\n" );
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document.write( "(1, 1) <BR>\n" );
document.write( "(2,0) <BR>\n" );
document.write( "Inconsistent <BR>\n" );
document.write( "Dependent \r<BR>\n" );
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document.write( "20. <BR>\n" );
document.write( "2x �y = 8<BR>\n" );
document.write( "x + 2y = 14\r<BR>\n" );
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document.write( "(6, 4) <BR>\n" );
document.write( "(2, -4) <BR>\n" );
document.write( "(0, 7) <BR>\n" );
document.write( "(8, 3) \r<BR>\n" );
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document.write( "21. <BR>\n" );
document.write( "x -2y = 12<BR>\n" );
document.write( "x +3y = 2\r<BR>\n" );
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document.write( " <BR>\n" );
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document.write( "(10, -1) <BR>\n" );
document.write( "(0, -6) <BR>\n" );
document.write( "(1, 1/3) <BR>\n" );
document.write( "(8, -2) \r<BR>\n" );
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document.write( "22. ��16x4y12  \r<BR>\n" );
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document.write( "2x�y� <BR>\n" );
document.write( "2xy� <BR>\n" );
document.write( "4x�y6 <BR>\n" );
document.write( "4x�y4 \r<BR>\n" );
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document.write( "23. 2/��12  \r<BR>\n" );
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document.write( "1/��6 <BR>\n" );
document.write( "��6 /6 <BR>\n" );
document.write( "��12 /6 <BR>\n" );
document.write( "��3 /3 \r<BR>\n" );
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document.write( "24. <BR>\n" );
document.write( "The hypotenuse of a right triangle is 10. One side is 2 less than the other.  Find the length of each leg.\r<BR>\n" );
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document.write( "3, 5 <BR>\n" );
document.write( "5, 7 <BR>\n" );
document.write( " 8, 6 <BR>\n" );
document.write( "4, 6 \r<BR>\n" );
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document.write( "25. x� +7x +10 = 0 \r<BR>\n" );
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document.write( "5, 2 <BR>\n" );
document.write( "-5, 2 <BR>\n" );
document.write( "-5, -2 <BR>\n" );
document.write( "-2, 5 <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #109290 by </B><A HREF=/tutors/aboutme.mpl?userid=mangopeeler07><B>mangopeeler07(462)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mangopeeler07><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=109290\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 12. 6x� +5x� +7x \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "prime <BR>\n" );
document.write( "(3x +1)(2x +1) <BR>\n" );
document.write( "(2x +7)(3x +1) <BR>\n" );
document.write( "x(6x� +5x + 7)\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "Answer: x(6x� +5x + 7)<BR>\n" );
document.write( "*take out the common term, x<BR>\n" );
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document.write( "13. 4x� +14x -30 \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "2(2x -3)(x +5) <BR>\n" );
document.write( "2(2x -5)(x +3) <BR>\n" );
document.write( "(4x -6)((x +5) <BR>\n" );
document.write( "(2x -3)(2x +10) \r<BR>\n" );
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document.write( "Answer: 2(2x-3)(x+5)<BR>\n" );
document.write( "*Take out a two first, then factor<BR>\n" );
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document.write( "14. 4x -8/(6x� -12x) \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(2x -2)/(3x� -3x) <BR>\n" );
document.write( "2/3 <BR>\n" );
document.write( "4/(6x) <BR>\n" );
document.write( " 2/(3x) \r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "Answer: 2/3x<BR>\n" );
document.write( "*Factor everything using common terms/factors, then cancel, then reduce<BR>\n" );
document.write( "--------------------------------------------------------------------------------<BR>\n" );
document.write( "15. (3x -9)/(4x +20) . (x� +3x -10)/(6x� -12x) \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "3/4 <BR>\n" );
document.write( "(x -5)/(4(x +5)) <BR>\n" );
document.write( "(x -3)/(8x) <BR>\n" );
document.write( "-3/8 \r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "Answer: x-3/8x<BR>\n" );
document.write( "*Factor using common terms/factors, then cancel, then multiply, then reduce<BR>\n" );
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document.write( "16. (x� -4x -5)/(x� +2x +1) � (x -5)/(x +4) \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(x -5)�/((x +1)(x +4)) <BR>\n" );
document.write( "5 <BR>\n" );
document.write( " (x +1)(x +4)/(x� +1) <BR>\n" );
document.write( "(x +4)/(x +1) \r<BR>\n" );
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document.write( "Answer: x+4/x+1<BR>\n" );
document.write( "*Same concept as number 15<BR>\n" );
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document.write( "17. Find the slope of a line passing through (-4, 6) and (-2, 5) \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "-1/2 <BR>\n" );
document.write( "-2 <BR>\n" );
document.write( "1/2 <BR>\n" );
document.write( "1/6 \r<BR>\n" );
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document.write( "Answer: -1/2<BR>\n" );
document.write( "*Difference of the y's over the difference of the x's<BR>\n" );
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document.write( "18. Find the equation of the line passing through (2, 4) and (-3, 8) \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "4x +5y = 28 <BR>\n" );
document.write( "4x -5y = -12 <BR>\n" );
document.write( "5x +4y = 26 <BR>\n" );
document.write( "5x -4y = -6 \r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "Answer: 4x+5y=28<BR>\n" );
document.write( "*Difference of the y's over the difference of the x's to obtain slope<BR>\n" );
document.write( "*plug that and two coordinates in y=mx+b to solve for b<BR>\n" );
document.write( "*manipulate the equation so that x and y are both on one side<BR>\n" );
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document.write( "19. <BR>\n" );
document.write( "x +y = 2<BR>\n" );
document.write( "3x -2y = 6\r<BR>\n" );
document.write( "\n" );
document.write( " <BR>\n" );
document.write( "(1, 1) <BR>\n" );
document.write( "(2,0) <BR>\n" );
document.write( "Inconsistent <BR>\n" );
document.write( "Dependent \r<BR>\n" );
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document.write( "Answer: (2,0)<BR>\n" );
document.write( "*Plug and check<BR>\n" );
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document.write( "20. <BR>\n" );
document.write( "2x �y = 8<BR>\n" );
document.write( "x + 2y = 14\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(6, 4) <BR>\n" );
document.write( "(2, -4) <BR>\n" );
document.write( "(0, 7) <BR>\n" );
document.write( "(8, 3) \r<BR>\n" );
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document.write( "Answer:(6,4)<BR>\n" );
document.write( "*Same concept as 19<BR>\n" );
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document.write( "21. <BR>\n" );
document.write( "x -2y = 12<BR>\n" );
document.write( "x +3y = 2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(10, -1) <BR>\n" );
document.write( "(0, -6) <BR>\n" );
document.write( "(1, 1/3) <BR>\n" );
document.write( "(8, -2)\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "Answer:(8,-2)<BR>\n" );
document.write( "*Same concept as 19 and 20<BR>\n" );
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document.write( "24. <BR>\n" );
document.write( "The hypotenuse of a right triangle is 10. One side is 2 less than the other.  Find the length of each leg.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "3, 5 <BR>\n" );
document.write( "5, 7 <BR>\n" );
document.write( " 8, 6 <BR>\n" );
document.write( "4, 6 \r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "Answer: 8,6<BR>\n" );
document.write( "*a^2+b^2=c^2<BR>\n" );
document.write( "*a+b more than c<BR>\n" );
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document.write( "25. x� +7x +10 = 0 \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "5, 2 <BR>\n" );
document.write( "-5, 2 <BR>\n" );
document.write( "-5, -2 <BR>\n" );
document.write( "-2, 5\r<BR>\n" );
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document.write( "Answer: -5, -2<BR>\n" );
document.write( "*Factor<BR>\n" );
document.write( "*Set each expression equal to zero and solve </SPAN>\n" );
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