It hits the ground at h=0
0=-16t^2-16t+96
undistribute -16
0=-16(t^2+t-6)
factor
0=-16(t-2)(t+3)
set to zero
0=t-2
2=t
t+3=0
t=-3, nope, we can't have negative time
at t=2, or 2 seconds
Answer:
4.1
Step-by-step explanation:
<h2><u>Answer:-</u></h2>
Given:
Two angles form a linear pair.
It means sum of their measures = 180°.
And,
Measure of one angle is 24° greater than the other.
Let the other angle be x.
→ First angle = (x + 24)
According to the question,
<h3>→ x + x + 24 = 180</h3>
→ 2x = 180 - 24
→ 2x = 156
→ x = 156/2
<h3>→ X = 78°</h3>
<u>There</u><u>fore</u><u>,</u>
- 1st angle = 78°
- 2nd angle = 78° + 24° = 102°
Let point P be with coordinates Find the equation of the tangent line.
1. If then
2. The equation of the tangent line at point P is
Find x-intercept and y-intercept of this line:
- when x=0, then
- when y=0, then
The area of the triangle enclosed by the tangent line at P, the x-axis, and y-axis is
Since point P is on the parabola, then and
Find the derivative A':
Equate this derivative to 0, then
And
Answer: two points: