Factorize the following quadratic expressions a) x^2 − 11x – 42

b) x^2 − 12x − 45

c) x^2 − 7x – 30

d) x^2 − 5x − 24

e) 3x^2 + 10x + 8

What is the distance between the points (2 -3) and (-6 4) on the coordinate plane

Asailor is looking at a kite. if he is looking at the kite at an angle of elevation of 36and the distance from the boat to the point where the kite is directly overhead is 40 feet, how high is the kite?

Astudent draws two parabolas on graph paper. both parabolas cross the x-axis at (-4, 0) and (6,0). the y-intercept of thefirst parabola is (0, –12). the y-intercept of the second parabola is (0-24). what is the positive difference between the avalues for the two functions that describe the parabolas? write your answer as a decimal rounded to the nearest tenth.