10. A comet that has been bumped out of its normally elliptical orbit in the outer reaches of the solar system will fall towards the sun on a hyperbolic trajectory. If two of the coordinates on the path of the comet are (30,100) where the units are in millions of miles, determine the equation of the comet's path. (10,0) and Sun Comet

Find the distance between (-2, -6) and (3, -4) pair of points. If necessary, express answers in simplified radical form and then round to two decimals places.

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.