document.write( "Question 951419: The width of a rectangular painting is 5 inches shorter than the length.
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document.write( "a. Write algebraic expressions to represent the width and the length of the painting.
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document.write( "b. Write an equation to model the area of the painting.
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document.write( "c. Solve the quadratic equation. What do the x-intercepts mean in respect to the problem situation?\r
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document.write( "I tried: What I know the w is 5 inches less than the length
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document.write( "w =w-l
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document.write( "l= w+5
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document.write( "subtract one from both side is 4 \n" );
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Algebra.Com's Answer #581003 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The width of a rectangular painting is 5 inches shorter than the length. \n" ); document.write( " a. Write algebraic expressions to represent the width and the length of the painting. \n" ); document.write( "Length = x \n" ); document.write( "Width = x-5 \n" ); document.write( "----------- \n" ); document.write( " b. Write an equation to model the area of the painting. \n" ); document.write( "Area = length*width = x(x-5) = x^2-5x \n" ); document.write( "--------------------------------------- \n" ); document.write( " c. Solve the quadratic equation. \n" ); document.write( "You must solve it for some particular value of the Area. \n" ); document.write( "Do you have a particular value? \n" ); document.write( "---------------------------- \r \n" ); document.write( "\n" ); document.write( "What do the x-intercepts mean in respect to the problem situation? \n" ); document.write( "If Area = x(x-5), the x-intercepts are the value of \n" ); document.write( "x and x-5 that make the Area = 0 \n" ); document.write( "That occurs when x = 0 or x = 5 \n" ); document.write( "----------------------------------- \n" ); document.write( "If x = 0, the length is zero ; so the Area = 0 \n" ); document.write( "If x = 5, the width (which is x-5) = zero ; so the Area = 0 \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "------------ \n" ); document.write( " \n" ); document.write( " |