Anyone please help! I really need it po. Salamat po sa iyong tulong. I beg for help po. Anyone please po. There is a picture po in case if you can't understand the problem.

Topic: Pre calculus (Conic Sections: Hyperbola)

1.)

A ship 5 km north of island I(1) , wishes tk go to point X est of I(1). Since the advanced navigational system of the ship malfunctioned, they have to rely on a back-up system that uses radio signals from I(1) and another island, I(2). The captain is informed that they will reach X if they maintained the current difference in their distances from I(1) and I(2). If I(2) is 12 km east of I(1). How far is X from I(1).

2.) Anna lives 10 km west of Jose. One quiet evening, Anna suddenly hears a loud explosion. If Jose hears the explosion exactly 22 6/7 seconds later, find the collection of all possible locations of the explosion source. Assume that sound travels at a speed of 350 m s^-1.

3.) The foci of a hyperbola are (-5,-3) and (9,-3). For any point on the hyperbola, the absolute value of the difference of its of its distances from the foci is 10. Find the standard equation of the hyperbola.