Answer:
Step-by-step explanation:
The motion equations that describe the ball are, respectively:
![x = \left[\left(152\,\frac{ft}{s} \right)\cdot \cos 52^{\circ} \right] \cdot t](https://tex.z-dn.net/?f=x%20%3D%20%5Cleft%5B%5Cleft%28152%5C%2C%5Cfrac%7Bft%7D%7Bs%7D%20%5Cright%29%5Ccdot%20%5Ccos%2052%5E%7B%5Ccirc%7D%20%5Cright%5D%20%5Ccdot%20t)
![y = 4.5\,ft + \left[\left(152\,\frac{ft}{s} \right)\cdot \sin 52^{\circ} \right] \cdot t - \frac{1}{2}\cdot \left(32.174\,\frac{ft}{s^{2}} \right) \cdot t^{2}](https://tex.z-dn.net/?f=y%20%3D%204.5%5C%2Cft%20%2B%20%5Cleft%5B%5Cleft%28152%5C%2C%5Cfrac%7Bft%7D%7Bs%7D%20%5Cright%29%5Ccdot%20%5Csin%2052%5E%7B%5Ccirc%7D%20%5Cright%5D%20%5Ccdot%20t%20-%20%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20%5Cleft%2832.174%5C%2C%5Cfrac%7Bft%7D%7Bs%5E%7B2%7D%7D%20%5Cright%29%20%5Ccdot%20t%5E%7B2%7D)
The time required for the ball to hit the ground is computed from the second equation. That is to say:
![4.5\,ft + \left[\left(152\,\frac{ft}{s} \right)\cdot \sin 52^{\circ} \right] \cdot t - \frac{1}{2}\cdot \left(32.174\,\frac{m}{s^{2}} \right) \cdot t^{2} = 0](https://tex.z-dn.net/?f=4.5%5C%2Cft%20%2B%20%5Cleft%5B%5Cleft%28152%5C%2C%5Cfrac%7Bft%7D%7Bs%7D%20%5Cright%29%5Ccdot%20%5Csin%2052%5E%7B%5Ccirc%7D%20%5Cright%5D%20%5Ccdot%20t%20-%20%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20%5Cleft%2832.174%5C%2C%5Cfrac%7Bm%7D%7Bs%5E%7B2%7D%7D%20%5Cright%29%20%5Ccdot%20t%5E%7B2%7D%20%3D%200)
Given that formula is a second-order polynomial, the roots of the equation are described below:
and 
Just the first root offers a realistic solution. Then, .
Answer:
38 Tables
Step-by-step explanation:
182 + 274 = 456
456 / 12 = 38
Answer:
y = -4
Step-by-step explanation:
3y - 2(5y - 7) = -9y + 6 (Given)
3y - 10y + 14 = -9y + 6 (Distribute)
-7y + 14 = -9y + 6 (Add like terms)
2y + 14 = 6 (Add 9y on both sides)
2y = -8 (Subtract 14 on both sides)
y = -4 (Divide 2 on both sides)
You can check by substituting the solution for y:
3(-4) - 2(5(-4) - 7) = -9(-4) + 6
-12 - 2(-20 - 7) = 36 + 6
-12 - 2(-27) = 42
-12 + 54 = 42
42 = 42
