Pls help anything works I need it done in 12 min Part a : under a dilation of a scale factor 1/2 centered at (6,4),SM becomes HG. Determine the coordinates of HG and sketch HG on the graph

part b: Determine the coordinates of s’m’ under a dilation of scale factor 2 centered at the origin

Show your workcan a right triangle have this sides? *how to prove it without using the pythagorean theorema*

Your friend uses c=50p to find the total cost, c, for the people, p, entering a local amusement park what is the unit rate and what does it represent in the context of the situation?

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.