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:
2
Step-by-step explanation:
Use the formula: change of y over change of x.
When you do that, your systems should look like this:
x1 = 2
y1 = 4
x2 = 6
y2 = 12
After that you plug these number into the corresponding variable.
(12 - 4) / (6 - 2) = 8/4 which equals 2.
Answer:
75th term
Step-by-step explanation:
hope it is well understood
D. , a prepositional phrase indicates relationships b/w subjects and verbs. The A-C answers are all just grammatical variations of actions. Also, if you want a quicker answer next time, try posting in the right section (this one would be English or Language). :)
