H(t) = Ho +Vot - gt^2/2
Vo = 19.6 m/s
Ho = 58.8 m
g = 9.8 m/s^2
H(t) = 58.8 + 19.6t -9.8t^2/2 = 58.8 + 19.6t - 4.9t^2
Maximun height is at the vertex of the parabole
To find the vertex, first find the roots.
58.8 + 19.6t - 4.9t^2 = 0
Divide by 4.9
12 + 4t - t^2 = 0
Change sign and reorder
t^2 - 4t -12 = 0
Factor
(t - 6)(t + 2) =0 ==> t = 6 and t = -2.
The vertex is in the mid point between both roots
Find H(t) for: t = [6 - 2]/2 =4/2 = 2
Find H(t) for t = 2
H(6) = 58.8 + 19.6(2) - 4.9(2)^2 = 78.4
Answer: the maximum height is 78.4 m
Answer:
x = 1.14
Step-by-step explanation:
3(2x - 1) + 7 = 6x - 3 - 2(-4x) [Given Equation]
6x - 3 + 7 = 6x - 3 + 8x [Distributive Property]
6x + 4 = 14x - 3 [Combine like-terms]
-8x + 4 = -3 [Subtraction Property of Equality]
-8x = -7 [Subtraction PoE]
x = 1.14 [Division PoE]
Answer:
$63
Step-by-step explanation:
15.75 / 3 = 5.25
5.25 is what each ticket was worth
5.25 * 12 = 63
Answer:
2(5000000x1256y+400−a)
Step-by-step explanation:
