document.write( "Question 596126: Please, Please, Please can someone help me to solve this equation. I am so confused. Thank you for your quick response!\r
\n" ); document.write( "\n" ); document.write( "W = 33 – (10.45 + 10√(v-v) ) (33-T)
\n" ); document.write( " a. T = 10c; v = 9m/sec
\n" ); document.write( " b. T= 0c; v = 15m/sec
\n" ); document.write( " c. T=-10c, v=20/sec\r
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Algebra.Com's Answer #377525 by jsmallt9(3758)\"\" \"About 
You can put this solution on YOUR website!
(I would encourage you to not use the \"check mark\" symbol in the future. On algebra.com use \"sqrt(...)\" for square roots. :sqrt\" is not standard notation in Math but think every tutor on algebra.com will understand it. And the parentheses makes it clear what is inside the square root.)

\n" ); document.write( "\"W+=+33+-+%2810.45+%2B+10sqrt%28v%29-+v+%29%2833-T%29\"
\n" ); document.write( "a. T = 10c; v = 9m/sec:
\n" ); document.write( "I'm assuming that the \"c\" means Celcius/Centigrade.
\n" ); document.write( "\"W+=+33+-+%2810.45+%2B+10sqrt%289%29-+9+%29%2833-10%29\"
\n" ); document.write( "Replacing the square root of the perfect square, 9:
\n" ); document.write( "\"W+=+33+-+%2810.45+%2B+10%2A3-+9+%29%2833-10%29\"
\n" ); document.write( "Now you just simplify (according to PEMDAS, of course). Inside the first parentheses we multiply first:
\n" ); document.write( "\"W+=+33+-+%2810.45+%2B+30+-+9+%29%2833-10%29\"
\n" ); document.write( "Adding/subtracting the like terms in both sets of parentheses:
\n" ); document.write( "\"W+=+33+-+%2831.45%29%2823%29\"
\n" ); document.write( "Multiply:
\n" ); document.write( "W = 33 - 723.35
\n" ); document.write( "Subtracting:
\n" ); document.write( "W = -690.35
\n" ); document.write( "What does \"W\" represent? Is it possible for it to have a negative value? If not, then the equation is still incorrect.

\n" ); document.write( "I'm going to skip part b and go on to part c. After seeing parts a and c solved I hope you will be able to do part b on your own.
\n" ); document.write( "c. T=-10c, v=20/sec
\n" ); document.write( "\"W+=+33+-+%2810.45+%2B+10sqrt%2820%29-+20+%29%2833-%28-10%29%29\"
\n" ); document.write( "This time the square root does not turn into a whole number (since 20 is not a perfect square). But it will simplify:
\n" ); document.write( "\"W+=+33+-+%2810.45+%2B+10sqrt%284%2A5%29-+20+%29%2833-%28-10%29%29\"
\n" ); document.write( "\"W+=+33+-+%2810.45+%2B+10sqrt%284%29%2Asqrt%285%29-+20+%29%2833-%28-10%29%29\"
\n" ); document.write( "\"W+=+33+-+%2810.45+%2B+10%2A2%2Asqrt%285%29-+20+%29%2833-%28-10%29%29\"
\n" ); document.write( "\"W+=+33+-+%2810.45+%2B+20%2Asqrt%285%29-+20+%29%2833-%28-10%29%29\"
\n" ); document.write( " Adding/subtracting the like terms in both sets of parentheses:
\n" ); document.write( "\"W+=+33+-+%28-9.55+%2B+20%2Asqrt%285%29%29%2843%29%29%29\"
\n" ); document.write( "Distribute the 43:
\n" ); document.write( "\"W+=+33+-+%28-410.65+%2B+860%2Asqrt%285%29%29%29\"
\n" ); document.write( "Subtract the expression in the parentheses:
\n" ); document.write( "\"W+=+33+%2B+410.65+-+860%2Asqrt%285%29\"
\n" ); document.write( "Adding like terms:
\n" ); document.write( "\"W+=+443.65+-+860%2Asqrt%285%29\"
\n" ); document.write( "This is an exact expression for the answer. For a decimal approximation of the answer, then we need to use a calculator on the square root:
\n" ); document.write( "W = 443.65 - 860*2.23606798
\n" ); document.write( "Multiply:
\n" ); document.write( "W = 443.65 - 1923.01846065
\n" ); document.write( "Subtract:
\n" ); document.write( "W = -1479.36846065
\n" ); document.write( "So W is approximately -1480.

\n" ); document.write( "I hope that from parts a & c you are now able to do part b on your own.
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