document.write( "Question 476752: 1.A man drove a car at an average rate of speed of 45 miles per hour for the first 3 hours of a 7 hour car trip.If the average rate of speed for the entire trip was 53 miles per hour,what was the average rate of speed in miles per hour for the remaining part of the trip?
\n" ); document.write( "(A)50
\n" ); document.write( "(B)55
\n" ); document.write( "(C)57
\n" ); document.write( "(D)59
\n" ); document.write( "(E)62
\n" ); document.write( "2.What is the average of (x+y)^2 and (x-y)^2?
\n" ); document.write( "(A)x+y/2
\n" ); document.write( "(B)xy
\n" ); document.write( "(C)x^2-y^2
\n" ); document.write( "(D)xy/2
\n" ); document.write( "(E)x^2+y^2
\n" ); document.write( "Please help and thank you so much for giving your time to help me with these problems.I really appreciate it.
\n" ); document.write( "

Algebra.Com's Answer #326893 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
1.A man drove a car at an average rate of speed of 45 miles per hour for the first 3 hours of a 7 hour car trip.
\n" ); document.write( "If the average rate of speed for the entire trip was 53 miles per hour,what was the average rate of speed in miles per hour for the remaining part of the trip?
\n" ); document.write( ":
\n" ); document.write( "let s = av speed for the remaining part of the trip
\n" ); document.write( "2nd dist drive time: 7 - 3 = 4hrs
\n" ); document.write( ":
\n" ); document.write( "Write a distance equation: dist = speed * time
\n" ); document.write( ":
\n" ); document.write( "1st dist + 2nd dist = total dist
\n" ); document.write( "45(3) + 4s = 53(7)
\n" ); document.write( "135 + 4s = 371
\n" ); document.write( "4s = 371 - 135
\n" ); document.write( "4s = 236
\n" ); document.write( "s = \"236%2F4\"
\n" ); document.write( "s = 59 mph av speed on the remaining part of the trip
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "2.What is the average of (x+y)^2 and (x-y)^2?
\n" ); document.write( "Av = \"%28%28x%2By%5E2%29+%2B+%28x-y%29%5E2%29%2F2\"
\n" ); document.write( ";
\n" ); document.write( "Square the two expressions
\n" ); document.write( "Av = \"%28x%5E2+%2B+2xy+%2B+y%5E2+%2B+x%5E2+-+2xy+%2B+y%5E2%29%2F2\"
\n" ); document.write( ";
\n" ); document.write( "combine like terms
\n" ); document.write( "Av = \"%282x%5E2+%2B+2y%5E2%29%2F2\"
\n" ); document.write( ":
\n" ); document.write( "cancel out 2
\n" ); document.write( "Av = x^2 + y^2
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