A limo driver does to two stops to pick up students going to their prom. He starts driving at point S on North Street, picks up a group of students at point A , then turns onto Maple Drive to pick up the second group of students at point B . After picking up the second group, he turns onto Education Lane, and takes them to the prom at point P . If Maple Drive intersects North Street and Education Lane at their midpoints, how far did the limo driver drive from point S to the prom?

Lindsay used two points, (x,y; ) and (+2.82), to find the equation of the line, y = mx + b, that passes through the points. y2-y, first, she used the definition of slope and determined that the value of mis x, - . given this information, which expression must represent the value of b?

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The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)