Polygon abcde is dilated by a scale factor of 3 with the center of dilation at the origin to create polygon a'b'c'd'e'. if the endpoints of bc are b(3, 5) and c(5, 10), what is the slope of b'c'?

Captain umaima has a ship, the h.m.s. khan. the ship is two furlongs from the dread pirate nadia and her merciless band of thieves. the captain has probability 3/7 of hitting the pirate ship. the pirate only has one good eye, so she hits the captain's ship with probability 2/5. if both fire their cannons at the same time, what is the probability that the captain hits the pirate ship, but the pirate misses.