For this case we have the following equation:
h = -16t ^ 2 + 32t + 6
Deriving we have:
h '= -32t + 32
We equal zero and clear t:
-32t + 32 = 0
32t = 32
t = 32/32
t = 1 s
Then, the maximum height is given by:
h (1) = -16 * (1) ^ 2 + 32 * (1) + 6
h (1) = 22 feet
Answer:
It takes the ball to reach its maximum height about:
t = 1 s
The ball's maximum height is:
h (1) = 22 feet
Answer:
His average speed is
12 km/hr
.
Step-by-step explanation:
Remember the triangle of Speed, Distance and Time. If you remember it, you'll ace these kinda questions.
I had trouble with these formulas but the triangle helped me a LOT! Anyways, let's get back to the question. The formula for average speed is pretty much the same as the formula for just speed. The average speed formula is
Average speed
=
Total Distance
Total Time
So......
48 km
4 hr
=
12 km/hr
My source
I hope this explanation helps you!
Answer:
x = 11
Step-by-step explanation:
If the lines were parallel, then the transversal would make 2x + 1 and 23° alternate interior angles. Alternate interior angles equal one another, so set up the following equation.

You would set it up as a fraction putting 35 over 100 and 98 over x then cross multiply to get 280
That's kind of blurry but....by the Pythagorean Theorem
(3+r)^2=9^2+r^2
r^2+6r+9=81+r^2
6r+9=81
6r=72
r=12