document.write( "Question 539715: I need help solving a quadratic equation.\r
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document.write( "The area of a field shaped like a right triangle is 600m2 ( squared). The legs of the field are fenced with steel at $10/m, while the hypotenuse is fenced with aluminum at $20/m. The perimeter of the field is 120m. The total cost of the fencing is $1700.
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document.write( "A. What is the length of each side of fence with steel?
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document.write( "B. what is the length of the side of the fence with aluminum?\r
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document.write( "Here's what I've tried:
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document.write( "xy/2= 600m2
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document.write( "x+y+z= 120
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document.write( "10x + 10y + 20z = $1700 or x+ y + 2z = $170\r
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document.write( "Not sure how to get rid of one of the variables.
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document.write( "Would greatly appreciate your assistance.\r
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document.write( "Daniel \n" );
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Algebra.Com's Answer #353544 by mananth(16946)![]() ![]() You can put this solution on YOUR website! xy/2= 600m2 \n" ); document.write( "xy=1200 \n" ); document.write( "x=1200/y \n" ); document.write( "---- \n" ); document.write( "1200/y +y+z= 120 \n" ); document.write( "1200+y^2+yz=120y \n" ); document.write( "y^2-120y+1200=-yz \n" ); document.write( "multiply by 2 \n" ); document.write( "2y^2-240y+2400=-2yz \n" ); document.write( "-----\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x+ y + 2z = $170 \n" ); document.write( "1200/y +y+2z=170 \n" ); document.write( "1200+y^2+2yz=170y\r \n" ); document.write( "\n" ); document.write( "y^2-170y+1200=-2yz \n" ); document.write( "----- \n" ); document.write( "Equate -2yz\r \n" ); document.write( "\n" ); document.write( "y^2-170y+1200=2y^2-240y+2400 \n" ); document.write( "y^2-70y+1200=0 \n" ); document.write( "y^2-40y-30+1200=0 \n" ); document.write( "(y-40)(y-30)=0 \n" ); document.write( "y= 40 OR 30\r \n" ); document.write( "\n" ); document.write( "The sides of triangle are 40,30,50\r \n" ); document.write( "\n" ); document.write( "50 is the hypotenuse\r \n" ); document.write( "\n" ); document.write( "Area = 1/2 * 30*40= 600 (check) \n" ); document.write( "Now you know how to answer the questions\r \n" ); document.write( "\n" ); document.write( "m.ananth@hotmail.ca\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |