document.write( "Question 588867: A photograph is 8in by 10in.
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document.write( " A. Write an equation to find the amount x that should be added to the current length and width to double the area of the photograph.
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document.write( " B. Solve the equation.
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document.write( " C. What will the new dimensions be?\r
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document.write( "Thank you soo much if you answer this. \n" );
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Algebra.Com's Answer #374653 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! The original area is 8*10 = 80 square inches.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The doubled area is 80*2 = 160 square inches.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The new dimensions are 8+x by 10+x and they multiply out to 160, so the equation is (8+x)(10+x) = 160\r \n" ); document.write( "\n" ); document.write( "------------------------------------------------------- \n" ); document.write( "b)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now get the equation into standard form\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(8+x)(10+x) = 160\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "80+18x+x^2 = 160\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "80+18x+x^2 - 160 = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x^2 + 18x - 80 = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now use the quadratic formula to solve for x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = (-b+-sqrt(b^2-4ac))/(2a)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = (-(18)+-sqrt((18)^2-4(1)(-80)))/(2(1))\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = (-18+-sqrt(324-(-320)))/(2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = (-18+-sqrt(644))/2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = (-18+sqrt(644))/2 or x = (-18-sqrt(644))/2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = (-18+2*sqrt(161))/2 or x = (-18-2*sqrt(161))/2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "and approximate the solutions above to get\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 3.6885775 or x = -21.6885775\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "toss out the negative solution to get \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 3.6885775\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So you should add about 3.6885775 inches to each dimension to double the area of the photograph.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-------------------------------------------------------\r \n" ); document.write( "\n" ); document.write( "C)\r \n" ); document.write( "\n" ); document.write( "Add 8 and 3.6885775 to get 11.6885775. This is the new width\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Add 10 and 3.6885775 to get 13.6885775. This is the new length \n" ); document.write( " |