A line segment on a coordinate plane has a slope of 1 and the end points at (1,a) and (9,b). Two points on this line segment partition it in a ratio of 1 : 3 and 3 : 1. Which of the following are the x coordinates of these two points A: 2
B: 3
C: 4
D: 5
E: 6
F: 7
G: 8

Find the value of p for which the polynomial 3x^3 -x^2 + px +1 is exactly divisible by x-1, hence factorise the polynomial

Aflagpole broke in a storm. it was originally 8 1 81 feet tall. 2 8 28 feet are still sticking straight out of the ground, where it snapped, but the remaining piece has hinged over and touches the ground some distance away. how far away is the end of the pole from the base of the pole along the ground?

What are the measures of angles a, b, and c? show your work and explain your answers. 25 points