Please help I'm really stuck on this problem and want to do well. When flying faster than the speed of light, an airplane that flies parallel to the ground forms sound waves in the shape of a cone behind it. The waves intersect the ground in the shape of a hyperbola, with the airplane directly above the center of this hyperbola.

If you hear a sonic boom along the hyperbola x^2/100 - y^2/4= 1, what is the shortest horizontal distance you could be to the airplane?

Please show your work, I want to learn how to do this.

What is the value of x in the this question ?

Gh bisects fgi. find the measure of hgi •15° •21° •10° •8°

The krasnapolski is a top-of-the-line hotel in amsterdam, the netherlands. among their many services, they rent bicycles to guests. the bicycle checkout is open 24 hours per day 7 days per week and has 50 bicycles on hand. on average, 10 guests request a bicycle each day, arriving completely randomly at all times of the day during the spring and summer seasons. guests keep bicycles for four days on average, with a standard deviation of two days. how long does a guest on average have to wait for a bike? a. approximately 24 hours b. approximately 0.033 hours c. approximately 4 days d. approximately 47 minutes