Answer:
- 1.875 seconds to reach the maximum height
- 62.25 ft
Step-by-step explanation:
The problem can be solved by putting the equation into vertex form.
s - 6 = -16(t^2 -15/4t)
s -6 -16(15/8)^2 = -16(t^2 -15/4t +(15/8)^2) . . . . add the square of half the x-coefficient inside parentheses and equivalent amount on the other side of the equation
s -62.25 = -16(t -15/8)^2 . . . . write as a square, simplify the constant
s = -16(t -1.875)^2 +62.25 . . . . put in vertex form
The vertex of the downward-opening parabola is at (t, s) = (1.875, 62.25).
1. It took 1.875 seconds for the ball to reach its maximum height.
2. The ball went up to 62.25 feet.
Answer:
[insert carefully drawn regular dodecagon]
Sum of interior angles = (n-2) x 180° Sum of interior angles = 10 x 180° = 1800°
Step-by-step explanation:
Answer:
19 and 20
Step-by-step explanation:
let 'x' = first integer (smaller of the two)
let 'x+1' = next consecutive integer
6x = 7(x+1) - 26
6x = 7x + 7 - 26
6x = 7x - 19
-x = -19
x = 19
x+1 = 20
Check:
19(6) = 7(19+1) - 26
114 = 140 - 26
114 = 114