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
x - 4 = -12
I think x = -8 as if you decrease -8 by 4 it will leave us with the answer of -12
x = -8
Hope this helped,
Jon
Answer:
It's the first option.
Step-by-step explanation:
It is turned down so the one half is negative (-1/2)
parabola will be in the form of a(x-h)^2 + k. (-h, k) is your vertex, in this case that is (15,25). so in the equation, you will have
-1/2(x-15)^2 + 25. first one.
Hope this helps!
Answer:
1/ 8
Step-by-step explanation:
Given that:
Number of red cards in deck = 26
Number of diamonds in deck = 13
Number of cards in deck = 52
Recall :
Probability = required outcome / Total possible outcomes
Probability of choosing a red :
P(red) = 26 / 52 = 1/2
With replacement :
Probability of diamond :
P(diamond) = 13 / 52 = 1/4
Hence,
Probability of first card red, then second card diamond equals
P(red) * P(diamond)
1/2 * 1/4
= 1/8