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:
The answer to your question is (x - 7)² + y² = 81
Step-by-step explanation:
Data
Center = (7, 0)
radius = 9
Process
To find the standard equation of a circle, just substitute the values of the center and the radius.
Standar equation of a circle
(x - h)² + (y - k)² = r²
-Identify the values of h and k
h = 7 k = 0 and r = 9
-Substitution
(x - 7)² + (y - 0)² = 9²
-Simplification
(x - 7)² + y² = 81
183/3: 61mph
The answer would be 61mph.
Answer:
x=1
Step-by-step explanation:
Answer:
The first option im pretty sure
Step-by-step explanation:
