The distance d of a point P to the line through points A and B is the length of the component of AP¯¯¯¯¯¯¯¯ that is orthogonal to AB¯¯¯¯¯¯¯¯, as indicated in the diagram. So the distance from P=(−3,3,5) to the line through the points A=(−4,4,5) and B=(5,1,−4) is

What are “like terms”? why can we only add like terms?

What is the range of the relation in the table below? x y –2 0 –1 2 0 4 1 2 2 0

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.