document.write( "Question 74085: can someone please help me with this!!\r
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document.write( "A triangle has sides 3x + 7, 4x - 9, and 5x + 6. Find the polynomial
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document.write( "that represents its perimeter. \n" );
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Algebra.Com's Answer #53059 by bucky(2189)![]() ![]() ![]() You can put this solution on YOUR website! Given a Triangle whose three sides are: \n" ); document.write( ". \n" ); document.write( "3x+7 \n" ); document.write( "4x-9 and \n" ); document.write( "5x+6 \n" ); document.write( ". \n" ); document.write( "The problem is to find a polynomial that represents the perimeter. By definition the perimeter \n" ); document.write( "of a triangle is the sum of the lengths of the 3 sides. So all you have to do here is \n" ); document.write( "to add \n" ); document.write( "the three sides together. When you do you get: \n" ); document.write( ". \n" ); document.write( "3x + 7 + 4x - 9 + 5x + 6 \n" ); document.write( ". \n" ); document.write( "Rearrange the terms so that all the terms that have an x in them are together and all \n" ); document.write( "the numbers are together. Now add all the terms having an x to get that 3x + 4x + 5x = 12x. \n" ); document.write( "Put 12x into the expression as a replacement for 3x + 4x + 5x. When you do the equation \n" ); document.write( "becomes: \n" ); document.write( ". \n" ); document.write( "12x + 7 - 9 + 6 \n" ); document.write( ". \n" ); document.write( "Now add all the numbers together. Watch out for the signs this time because one of the \n" ); document.write( "numbers has a minus sign. +7 and +6 add to make 13 and then you add -9 which is the same as \n" ); document.write( "subtracting 9 from 13 to get 4. Replace the three numbers with 4 and the answer to this \n" ); document.write( "problem becomes: \n" ); document.write( ". \n" ); document.write( "12x + 4 \n" ); document.write( ". \n" ); document.write( "This is the polynomial that represents the perimeter of the triangle having the sides given \n" ); document.write( "in the problem. \n" ); document.write( ". \n" ); document.write( "Hope this helps you to see what is going on in this problem. Just understand the definition \n" ); document.write( "of the word \"perimeter\", then add the sides algebraically, and finally combine like terms. \n" ); document.write( "That's all you have to do. \n" ); document.write( " |