Answer:
Step-by-step explanation:
P1 = (3.5,5) in the form (x1,y1)
P2 = (3.5,-12) in the form (x2,y2)
dist = sqrt[ (x2 - x1)^2 + (y2-y1)^2 ]
dist = sqrt[ (3.5-3.5)^2 + (-12-5)^2 ]
dist = sqrt [ 0 -17^2]
dist = 17
The volume is the product of the height and the area of the base.
V = Bh
The area of the square base is (4 cm)² = 16 cm², so the height can be found from
144 cm³ = (16 cm²)h
h = (144 cm³)/(16 cm² = 9 cm
The height of the prism is 9 cm.
Their running paths form the legs of an isosceles right triangle. The hypotenuse of such a triangle (the distance between Steve and Scott) is √2 times the length of one leg. Each has run 10 miles in the hour since they split.
They are running at 10 miles per hour.
