'09 TMSCA #3

[nsguy1350]

8. The coordinates of the vertices of triangle ABC are (-4,7), (2,6),(6,-4). Find the x-coordinate of the incenter. (nearest tenth)
C. 1.8 -- Help for incenter, centroid (arithmetic mean of coordinates?), circumenter, and orthocenter as well please :D
18. The point (-4,1) is rotated clockwise about the origin to the point (1,4). Find the angle of rotation.
C. 90 -- A method on rotating points please?
28. Ben entered the Flagpole Hill 5K road race and his kilometer splits were 3:12, 3:22, 3:26, 3:28 and 3:16. Find his average speed in meters per second.
B. 4.98 m/s
29. How many ordered pairs (x,y) are solutions to the equation [unparseable or potentially dangerous latex formula], where x and y are integers such that [unparseable or potentially dangerous latex formula]?
E. 9
42. A large jar is filled with pennies, nickels, dimes, quarters, and silver dollars. How many different ways can Joe select three coins from the jar?
A. 35
57. Consider the conic section [unparseable or potentially dangerous latex formula]. Find the angle of rotation from its parent function. (nearest tenth)
B.26.6 -- I think someone said that this question was discontinued, but I want to learn it anyways. Thanks!

EDIT: Forgot a couple things. Did 51, missed 3, skipped 6 for a total of 300. Help is very much appreciated! Thanks again!

[Salvadoramerican]

I would recommend graphing on 29

[Salvadoramerican]

Balls and pins again