A trucking company transports goods between two cities that are 960 miles apart. The company​ charges, for each​ pound, $0.55 per mile for the first 100​ miles, $0.40 per mile for the next 300​ miles, $0.30 per mile for the next 400​ miles, and no charge for the remaining 160 miles.

There is a line with slope 1/a going through the point (a, a²). find the equation of the line perpendicular to this line at this point. (don’t let this problem intimidate you! solve the problem as you would if i’d given you specific values. just use variables instead.)

Amodel rocket is launched from a roof into a large field. the path of the rocket can be modeled by the equation y = -0.04x^2 + 8.6x + 4.8, where x is the horizontal distance, in meters, from the starting point on the roof and y is the height, in meters, of the rocket above the ground. how far horizontally from its starting point will the rocket land? a. 0.56 m b. 215.56 m c. 431.11 m d. 215.74 m

What are the coordinates of the point that is 1/3 of the way from a to b? a (2,-3) b (2,6)