Answer:
Step-by-step explanation:
The usual equation used for the vertical component of ballistic motion is ...
h(t) = -16t² +v₀t +h₀
where v₀ is the initial upward velocity, and h₀ is the initial height. Units of distance are feet, and units of time are seconds.
Your problem statement gives ...
v₀ = 64 ft/s
h₀ = 8 ft
so the equation of height is ...
h(t) = -16t² +64t +8
__
For quadratic ax² +bx +c, the axis of symmetry is x=-b/(2a). Then the axis of symmetry of the height equation is ...
t = -64/(2(-16)) = 2
The object will reach its maximum height after 2 seconds.
The height at that time will be ...
h(2) = -16(2²) +64(2) +8 = 72
The maximum height will be 72 feet.
Answer:
22
Step-by-step explanation:
Given
2t + 4s ( substitute t = 5, s = 3 into the expression )
= 2(5) + 4(3)
= 10 + 12
= 22
Answer: 30x-18
Step-by-step explanation:
6 times 5 = 30
6 times 3 = 18
Answer is 30x-18
The complete flow proof is:
- <em />
<em> ---- Given</em> - <em> </em>
<em> ---- Given</em> - <em />
<em> ----- </em>
<em> and </em>
<em> are supplementary angles</em> - <em /><em> ----- </em><em> and </em><em> are same-side interior angles</em>
- <em />
<em> ----- Proved</em>
We have:
<u>The proof of </u><u> is as follows:</u>
The first statement is:
---- Given
The next statement is:
---- Given
Supplementary angles add up to 
.
So, the third statement is:
----- and are supplementary angles
Same side of interior angles add up to .
So, the fourth statement is:
----- and are same-side interior angles
Because the angles are supplementary angles and also same-side interior angles, then it means that <em>line a is parallel to line b</em>
So, the last statement is:
----- Proved
Read more about proofs of parallel lines at:
brainly.com/question/18396272
Answer:
x= 8
Step-by-step explanation:
because I just had the same math question and that was the correct answer
