Expert: Richard J. Raridon - 7/14/2004

Question
1.a rectangle is 6 cent. wide and 9 cent. long. if the length and width are increased by the same amount, the area is increased by 100 square cent. find the new dimensions.
2.use the formula h=vt-16t^2. an object is fired into the air with a velocity of 72 feet per second.how many seconds will it take for the object to hit the ground?
3.a^2-b^2/a+b
4.a^2-3a-28/a^2+3a-4
5.y^2-9/4 times 8/y+3
6.s^2+2s-8/s^2+3s-10 times s+5/s^2-16
7.10-5x/6+3x divided by 5/12+6x
8.5m/m+1 divided by 25m^2/m^2+2m+1
9.4n^2/2n-3+9/3-2n
10.r^2/r+s - s^2/r+s

Answer
1. (6+x)(9+x) = 154
x^2 +15x -100 = 0 = (x+20)(x-5) so x = 5
2. 0 = 72t -16t^2 so t = 4.5s
3. (a+b)(a-b)/(a+b) = a-b
4. (a-7)(a+4)/[(a+4)(a-1)] = (a-7)/(a-1)
5. (y+3)(y-3)/4 * 8/(y+3) = 2(y-3)
6. (s+4)(s-2)/[(s+5)(s-2)] * (s+5)/[(s+4)(s-4)] = 1/(s-4)
7. 5(2-x)/[3(2+x)] * 6(2+x)/5 = 2-x
8. 5m/(m+1) * (m+1)^2/(25m^2) = (m+1)/5m
9. 4n^2/(2n-3) -9/(2n-3) = (4n^2-9)/(2n-3) =
(2n+3(2n-3)/(2n-3) = 2n+3
10. (r^2-s^2/(r+s) = (r+s)(r-s)/(r+s) = r-s