document.write( "Question 74085: can someone please help me with this!!\r
\n" ); document.write( "\n" ); document.write( "A triangle has sides 3x + 7, 4x - 9, and 5x + 6. Find the polynomial
\n" ); document.write( "that represents its perimeter.
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Algebra.Com's Answer #53059 by bucky(2189)\"\" \"About 
You can put this solution on YOUR website!
Given a Triangle whose three sides are:
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\n" ); document.write( "3x+7
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\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:
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\n" ); document.write( "3x + 7 + 4x - 9 + 5x + 6
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\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:
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\n" ); document.write( "12x + 7 - 9 + 6
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\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:
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\n" ); document.write( "12x + 4
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\n" ); document.write( "This is the polynomial that represents the perimeter of the triangle having the sides given
\n" ); document.write( "in the problem.
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\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.
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