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:
153 miles
Step-by-step explanation:
1 inch = 36 miles.
First, find the measurement of miles for 1/4 inch. Divide 36 with 4:
36/4 = 9
1/4 inch. = 9 miles.
Next, find the amount of measurement of miles per 4 inches:
4 x 36 = 144 miles.
Finally, combine the two measurements together:
144 + 9 = 153 miles.
153 miles is your answer.
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I think it’s c sorry if it’s wrong
Answer:
17(maybe)
Step-by-step explanation:
12-(-5)=17
