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 to go to point X east 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.

1) you deposit $2,500 in an account that earns 4% simple interest. how much do you earn in eight years?

In δabc shown below, ∠bac is congruent to ∠bca: triangle abc, where angles a and c are congruent given: base ∠bac and ∠acb are congruent. prove: δabc is an isosceles triangle. when completed (fill in the blanks), the following paragraph proves that line segment ab is congruent to line segment bc making δabc an isosceles triangle. (4 points) construct a perpendicular bisector from point b to line segment ac . label the point of intersection between this perpendicular bisector and line segment ac as point d: m∠bda and m∠bdc is 90° by the definition of a perpendicular bisector. ∠bda is congruent to ∠bdc by the definition of congruent angles. line segment ad is congruent to line segment dc by by the definition of a perpendicular bisector. δbad is congruent to δbcd by the line segment ab is congruent to line segment bc because consequently, δabc is isosceles by definition of an isosceles triangle. 1. corresponding parts of congruent triangles are congruent (cpctc) 2. the definition of a perpendicular bisector 1. the definition of a perpendicular bisector 2. the definition of congruent angles 1. the definition of congruent angles 2. the definition of a perpendicular bisector 1. angle-side-angle (asa) postulate 2. corresponding parts of congruent triangles are congruent (cpctc)

Which of these triangle pairs can be mapped to each other using a single translation? cof hn