Answer:
by multiplying each ratio by the second number of the other ratio
Answer:
a.) 5(3t+2)+ 7(2t+5)
b.) 15t+10+14th+35
c.) $132
Step-by-step explanation:
a.) 5(3t+2)+ 7(2t+5)
b.) 15t+10+14th+35
Simplify to :
29t+45
c.) Substitute
29(3) +45
87+45=132
$132
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.".
Step-by-step explanation:
areas of the figure = 130.25 ft ².
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