A(−3,−2), B(−2,2), C(2,−2)
The orthocenter is the meet of the altitudes. We see AC is parallel to the x axis so the perpendicular is the altitude through B.
Between A and B we have slope (2 - -2)/(-2 - -3) = 4 so perpendicular slope -1/4 through C(2,-2):
For the y coordinate of the orthocenter we substitute in x=-2.
So the orthocenter is (x,y)=(-2,-1)
Answer: (-2,-1)
Answer:
It takes 4.75 hours to travel 247 miles.
Step-by-step explanation:
This question is solved by proportions, using a rule of three.
A car travels at an average speed of 52 miles per hour.
This means that in 1 hour, the car travels 52 miles. How many hours for it to travel 247 miles?
1 h - 52 m
x h - 247 m
Applying cross multiplication
It takes 4.75 hours to travel 247 miles.