Question

1. Find all possible values of k so that (3,5), (5,-1), and (k,8) are the vertices of a right triangle

2. Find all points with -x+2y=0 so that (x,y) is 5 units from (-1,4)

3. (f(x+h)-f(x))/h for f(x)= -5/(x+2)

4. The frequency of the sound produced by a string is directly proportional to the square root of the tension on the string. If a string stretched with tension of 50 newtons produces a sound with a frequency of 261:6 cycles/sec. How much tension is needed to produce a sound with a frequency of 523:2 cycles/sec.?