-26/5 is the larger number. It is -5.1.
Answer:
t = 0.293 s and 14.52 s
Step-by-step explanation:
The heights of the ball in feet is given by the equation as follows :
![S = -2.7t^2+40t+6.5](https://tex.z-dn.net/?f=S%20%3D%20-2.7t%5E2%2B40t%2B6.5)
Where t is the number of seconds after the ball was thrown.
We need to find is the ball 18 ft above the moon's surface.
Put S = 18 ft
![-2.7t^2+40t+6.5=18\\\\-2.7t^2+40t=18-6.5\\\\-2.7t^2+40t-11.5=0](https://tex.z-dn.net/?f=-2.7t%5E2%2B40t%2B6.5%3D18%5C%5C%5C%5C-2.7t%5E2%2B40t%3D18-6.5%5C%5C%5C%5C-2.7t%5E2%2B40t-11.5%3D0)
It is a quadratic equation. Its solution is given by :
![t=\dfrac{-40+\sqrt{40^{2\ }-4\left(-2.7\right)\left(-11.5\right)}}{2\left(-2.7\right)},\dfrac{-40-\sqrt{40^{2\ }-4\left(-2.7\right)\left(-11.5\right)}}{2\left(-2.7\right)}\\\\t=0.293\ s,14.52\ s](https://tex.z-dn.net/?f=t%3D%5Cdfrac%7B-40%2B%5Csqrt%7B40%5E%7B2%5C%20%7D-4%5Cleft%28-2.7%5Cright%29%5Cleft%28-11.5%5Cright%29%7D%7D%7B2%5Cleft%28-2.7%5Cright%29%7D%2C%5Cdfrac%7B-40-%5Csqrt%7B40%5E%7B2%5C%20%7D-4%5Cleft%28-2.7%5Cright%29%5Cleft%28-11.5%5Cright%29%7D%7D%7B2%5Cleft%28-2.7%5Cright%29%7D%5C%5C%5C%5Ct%3D0.293%5C%20s%2C14.52%5C%20s)
So, the ball is at first 0.293 s and then 14.52 s above the Moon's surface.
Answer: 6.19 miles
Step-by-step explanation:
1): First you have to divide 312 by 252 to get the miles per hour.
312 / 252 = 1.23
2): Secondly, multiple 1.23 by 5 hours
5 x 1.23 = 6.19
Answer:
ILL SEND A PIC HOLD ON ITS EASY
Step-by-step explanation:
Answer:
10x - 3
Step-by-step explanation:
First, distribute 2 to all terms within the second parenthesis:
2(3x + 1) = (2 * 3x) + (2 * 1) = 6x + 2
4x - 5 + 6x + 2
Combine like terms (terms with the same amount of variables).
4x + 6x + 2 - 5
(4x + 6x) + (2 - 5)
10x + (-3)
10x - 3
10x - 3 is your answer.
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