Answer:
t = 3; It takes the ball 3 seconds to reach the maximum height and 6 seconds to fall back to the ground.
Step-by-step explanation:
To find the axis of symmetry, we need to find the vertex by turning this equation into vertex form (this is y = a(x - c)² + d where (c, d) is the vertex). To do this, we can use the "completing the square" strategy.
h(t) = -16t² + 96t
= -16(t² - 6t)
= -16(t² - 6t + 9) - (-16) * 9
= -16(t - 3)² + 144
Therefore, we know that the vertex is (3, 144) so the axis of symmetry is t = 3. Since the coefficient of the squared term, -16, is negative, it means that the vertex is the maximum. We know that it takes the golf ball 3 seconds to reach the maximum height (since the t value of the vertex is 3) and because the vertex is on the axis of symmetry, it would take 3 more seconds for the ball to fall to the ground, therefore it takes 3 + 3 = 6 seconds to fall to the ground. The final answer is "t = 3; It takes the ball 3 seconds to reach the maximum height and 6 seconds to fall back to the ground.".
Answer:
I'm assuming that the variable h is for height, and the W (the total) is for weight, so the answer would be 60 120/263 or 60.456273764259Step-by-step explanation
Answer:
32 pavers
Step-by-step explanation:
step 1
Find out the area of one square paver
The area of a square is
where
s is the length side of the square
we have
substitute
step 2
Find out the area of the rectangular patio
we know that
The area of a rectangle is
we have
substitute
step 3
Find out the number of pavers needed to build the patio
Divide the area of the rectangular patio by the area of one paver
Answer
Find out the Area of a triangle .
To proof
Formula
Area of Triangle
Now vertices are D(3, 3) , E(3, −1) , and F(−2, −5) .
Solving the above
= -10 units²
(Neglected the negative sign as area cannot be negative.)
= 10 units ²
Area of a triangle is 10 units ²
Hence proved
Answer:
suman is 15 and renu is 30 anita is 24
Step-by-step explanation:
15+30+24+69
