Answer:first add 14.6 to both side of the equation and that will give you what is x equal to
Step-by-step explanation:am just smart
When a shape is rotated, it must be rotated around a point.
<em>See attachment for the image of each rotation.</em>
To do this, the top coordinates of the X shape will be transformed using the appropriate rotation rule; the same rule will then be applied to the other parts of the X shape.
The top coordinates of the X shape are:
![A = (0,0)](https://tex.z-dn.net/?f=A%20%3D%20%280%2C0%29)
![B = (1,0)](https://tex.z-dn.net/?f=B%20%3D%20%281%2C0%29)
![C = (3,0)](https://tex.z-dn.net/?f=C%20%3D%20%283%2C0%29)
![D =(4,0)](https://tex.z-dn.net/?f=D%20%3D%284%2C0%29)
For 90 degrees counterclockwise rotation, the rule is:
![(x,y) \to (-y,x)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%5Cto%20%28-y%2Cx%29)
So, we have:
![A' = (0,0)](https://tex.z-dn.net/?f=A%27%20%3D%20%280%2C0%29)
![B' = (0,1)](https://tex.z-dn.net/?f=B%27%20%3D%20%280%2C1%29)
![C' = (0,3)](https://tex.z-dn.net/?f=C%27%20%3D%20%280%2C3%29)
![D' = (0,4)](https://tex.z-dn.net/?f=D%27%20%3D%20%280%2C4%29)
For 180 degrees rotation, the rule is:
![(x,y) \to (-x,-y)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%5Cto%20%28-x%2C-y%29)
So, we have:
![A' = (0,0)](https://tex.z-dn.net/?f=A%27%20%3D%20%280%2C0%29)
![B' = (-1,0)](https://tex.z-dn.net/?f=B%27%20%3D%20%28-1%2C0%29)
![C' = (-3,0)](https://tex.z-dn.net/?f=C%27%20%3D%20%28-3%2C0%29)
![D' = (-4,0)](https://tex.z-dn.net/?f=D%27%20%3D%20%28-4%2C0%29)
For 270 degrees counter rotation, the rule is:
![(x,y) \to (y,-x)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%5Cto%20%28y%2C-x%29)
So, we have:
![A' = (0,0)](https://tex.z-dn.net/?f=A%27%20%3D%20%280%2C0%29)
![B' = (0,-1)](https://tex.z-dn.net/?f=B%27%20%3D%20%280%2C-1%29)
![C' = (0,-3)](https://tex.z-dn.net/?f=C%27%20%3D%20%280%2C-3%29)
![D' = (0,-4)](https://tex.z-dn.net/?f=D%27%20%3D%20%280%2C-4%29)
See attachment for the image of each rotation
Read more about rotations at:
brainly.com/question/1571997
Answer:i dont know
Step-by-step explanation:
The question is asking for the lower bound of the 95% two tailed Confidence interval of the normally distributed population.
95% C.I. is given by 200 + or - 1.96(25) = 200 + or - 49 = (151, 249)
Therefore, the minimum weight of the middle 95% of players is 151 pounds.
Since
![y](https://tex.z-dn.net/?f=y)
is representing the number of gallons of water in the tub, we need to replace
![y](https://tex.z-dn.net/?f=y)
with the number of gallons remaining in the tube to find the time. Fortunately, the problem is telling us just that: 17.8 gallons. The only thing left is replacing that value in the equation, and solve for
![x](https://tex.z-dn.net/?f=x)
to find the time:
![17.8=-7.3x+39.7](https://tex.z-dn.net/?f=17.8%3D-7.3x%2B39.7)
![7.3x=21.9](https://tex.z-dn.net/?f=7.3x%3D21.9)
![x= \frac{21.9}{7.3}](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7B21.9%7D%7B7.3%7D%20)
![x=3](https://tex.z-dn.net/?f=x%3D3)
We can conclude that after
3 minutes <span>the tub will have 17.8 gallons of water remaining.</span>