Michael drove his car for 150 minutes at a constant speed of 75 miles per hour and then for another 2 hours at a constant speed of 81 miles per hour. How far did Michael drive? Show your work or explain how you got your answer using complete sentences.

349.5miles

Step-by-step explanation:

Given

Initial time =150min =2.5hours

Initial speed =75mph

Distance = speed x time

Distance = 75*2.5

Distance = 187.5m

Final time =2hours

Final speed =81mph

Distance = speed x time

Distance = 81*2

Distance = 162m

Total distance = initial +final

Total distance = 187.5+162

Total distance = 349.5miles

step-by-step explanation:

x^2 -12x + 36 + y^2 = 36

x^2 + y^2 = 12x

r^2 = 12rcos(theta)

r = 12 cos(theta)