document.write( "Question 85591: 1.The length of a rectangle is 2 cm more than twice its width. If the perimeter of the rectangle is 52 cm, find the dimensions of the rectangle.\r
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document.write( "2. Solve and graph the solution set. 3x > 7x + 20\r
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document.write( "3.Solve and graph the solution set. 3(x – 4) > 7x – 9\r
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Algebra.Com's Answer #61936 by ptaylor(2198)![]() ![]() You can put this solution on YOUR website! 1. \n" ); document.write( "Let w=width of rectangle \n" ); document.write( "Then the length=2w+2\r \n" ); document.write( "\n" ); document.write( "Perimeter=2w+2l, so:\r \n" ); document.write( "\n" ); document.write( "52=2w+2(2w+2) get rid of parens\r \n" ); document.write( "\n" ); document.write( "52=2w+4w+4 subtract 4 from both sides \n" ); document.write( "52-4=2w+4w+4-4 collect like terms\r \n" ); document.write( "\n" ); document.write( "48=6w divide both sides by 6\r \n" ); document.write( "\n" ); document.write( "w=8 cm--------------------width of rectangle\r \n" ); document.write( "\n" ); document.write( "2w+2=2*8+2=18cm-------------------length of rectangle\r \n" ); document.write( "\n" ); document.write( "CK \n" ); document.write( "52=2w+2l \n" ); document.write( "52=2*8+2*18 \n" ); document.write( "52=16+36 \n" ); document.write( "52=52\r \n" ); document.write( "\n" ); document.write( "2.\r \n" ); document.write( "\n" ); document.write( "3x>7x+20 subtract 7x from both sides\r \n" ); document.write( "\n" ); document.write( "3x-7x>20 collect like terms \n" ); document.write( "-4x>20 divide both sides by -4 (remember the inequality sign will reverse)\r \n" ); document.write( "\n" ); document.write( "x<-5 You Graph. Hint: got to x=-5 on the x-y axis and draw a vertical line. x will always be to the left of that line.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " 3.\r \n" ); document.write( "\n" ); document.write( "3(x–4)>7x–9 get rid of parens\r \n" ); document.write( "\n" ); document.write( "3x-12>7x-9 subtract 7x and add 12 to both sides\r \n" ); document.write( "\n" ); document.write( "3x-12+12-7x>7x-7x-9+12 collect like terms \n" ); document.write( "-4x>3 divide both sides by -4(inequality sign reverses, again)\r \n" ); document.write( "\n" ); document.write( "x<-3/4 You graph--same as before\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |