What is the product of the slopes of two nonparallel lines passing through the origin that are tangent to the circle (x-12)^2+(y+10)^2=83?
A purse snatcher running at 15 mph snatches a purse. The owner, a world class sprinter, takes off after the purse snatcher after a 250msec delay. If she can run a 100 meter dash in 11.54 sec, and neglecting her acceleration, how far does she run to catch the crook?