A school principal is mapping out some new features for a triangular playground. He sketches the playground on grid paper. The coordinates of the vertices of the playground are (1, 10), (−5, 2), and (7, 2).   The principal wants to put monkey bars at the orthocenter of the playground. What are the coordinates of the monkey bars?   (__,__)

If f(x)=2x-6 and g(x)=3x+9, find (f-g)(x)

Find the x-intercepts of the parabola withvertex (1,1) and y-intercept (0,-3).write your answer in this form: (x1,if necessary, round to the nearest hundredth.

Sarah took the advertising department from her company on a round trip to meet with a potential client. including sarah a total of 11 people took the trip. she was able to purchase coach tickets for $280 and first class tickets for $1280. she used her total budget for airfare for the trip, which was $6080. how many first class tickets did she buy? how many coach tickets did she buy?