Three circular swimming pools are built in a resort. The endpoints of the diameter of the first swimming pool are P(-8,5) and S(4,5). The second pool has a center of T(-5,-7) and the radius is 3 units. The center of the third pool is found on M(6,-5) and the other endpoint of the radius is N(2,-5). Which pool has the largest area?

Three biologists are tracking a snake with an implanted transponder chip. The first biologist is at the point (6,0) and is 3 miles away. The second biologist is at the point (3, −1) and is 5 miles away. The third biologist is at the point (2,6) and is also 5 miles away. Find the following: part (1) three center radius equations for the distance from the snake to each biologist, part (2) three expanded equations for the circles from part (1), solve the equations to find the point (x, y) where the circles intercept.