For problems 1–4, perform the indicated operations and simplify.
Reduce the expressions in questions 5–7.
Solve for .
For problems 9–12, find the solution set by any convenient method.
- The base of a right triangle is 10 m longer than its height. If the area of this triangle is 300 m2, what are its base and height measurements?
- Find three consecutive odd integers such that the product of the first and the third is 38 more than the second.
- Two airplanes take off from the same airfield, with the first plane leaving at 6 a.m. and the second at 7:30 a.m. The second airplane, travelling at 150 km/h faster than the first, catches up to the first plane by 10:30 a.m. What is the speed of each airplane?