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:
Option A and C is correct.
Step-by-step explanation:
Discount is defined as a reduced price on something being sold or at a price lower than that item is normally sold for.
For a 20% discount,
Given:
Initial prices = $ d
Discounted price = % discount × original/initial cost
= 20/100 × d
= 0.2 × d
Selling price = original cost - discounted price
= d - 0.2d
= 0.8 × d
= 0.8d
1. Change x = 4t into x = 3t
so
Answer A and D are wrong.
2. Change x = 4t into x = 2t
and
Answer b is correct.
3. Change x = 4t into x = 8t
and
Answer C. is correct, E. is wrong.
Answer: the missing measure on the big rectangle is 30 feet.
Step-by-step explanation:
If the small rectangle was enlarged to create the big rectangle, it means that they are similar. This also means that the dimensions of the larger rectangle different form the dimensions of the smaller rectangle by a constant ratio or factor.
The smaller rectangle has a length of 12 feet and width of 2 feet. The larger rectangle has a length of x feet and width of 5 feet. This means that
x/12 = 5/2
Cross multiplying, it becomes
2x = 12 × 5 = 60
x = 60/2 = 30
Answer:
y = x - 10
Step-by-step explanation:
Find the slope:
-4 - (-8) ÷ 6 - 2
-4 + 8 ÷ 6 - 2
4 ÷ 4
= 1
Substitute into the slope-intercept equation:
y = mx + b
Let's use the first coordinate (2,-8) for the x and y values
m = 1
-8 = 1(2) + b
-8 = 2 + b
-2 -2
-10 = b
Write equation:
y = 1x -10 or y = x -10
