Question

1. Points Q,R,S, and T lie on a circle with center P. If the radius of the circle is 1, what is the value of PQ+PR+PS+PT?

2. If 10^ab= 10,000, where a and b are positive integers, what is one possible value of a?

3. In the plane, the line 2x-3y=c passes through the point (5, -1). What is the value of c?

I really have no clue as to what to do on these problems. Please help (explain). Thanks

Answer 1

1. They are all the length of the radius. 1+1+1+1 = 4

2. Since 10^4 = 10,000, a = 0

3. 2(5)-3(-1) = c

Answer 2

1.9