Find the coordinates of the orthocenter of each triangle with the given vertices.
j(3, -2), k(5,6), l(9,-2)
my geometry teacher said the correct answer is (5,-1), but i'm not entirely sure how to solve it myself.

The nature park has a pride of 5 adult lions and 3 cubs. the adults eat 8 pounds of meat each day and the cubs eat 4 pounds. how much meat do the cubs and lions eat?

1. find the area of the unshaded square 2. find the area of the large square 3. what is the area of the frame represented by the shaded region show

Carla was trying to decide what to do saturday evening. she has $100 available to spend for the evening. she has narrowed her choices down to these events: braves game, a concert of an artist she likes, or the georgia aquarium. admission to the braves game is $25, hot dogs cost $10, sodas cost $5. the concert costs $25 for admission, $20 for a souvernir t-shirt, and $10 for a soda. the georgia aquarium has the show of a lifetime with an all you can eat and drink that costs $100. carla does not want to take any driving chances, so in addition to the cost of the aquarium, she will also need to pay for her uber/lyft, which is $15 each way. which option should carla choose if she wants to spend the least? based on that choice, what then is carla's oppotunity cost? fully explain your answer in at least one paragraph.