Answer:
![B" =(-2,1)](https://tex.z-dn.net/?f=B%22%20%3D%28-2%2C1%29)
![D" =(-5,-1)](https://tex.z-dn.net/?f=D%22%20%3D%28-5%2C-1%29)
Step-by-step explanation:
Given
![B =(2,3)](https://tex.z-dn.net/?f=B%20%3D%282%2C3%29)
![D = (5,1)](https://tex.z-dn.net/?f=D%20%3D%20%285%2C1%29)
Required
The new coordinates after reflected across y-axis and shifted 2 units down
When a point is reflected across the y-axis, the rule is:
![(x,y)=>(-x,y)](https://tex.z-dn.net/?f=%28x%2Cy%29%3D%3E%28-x%2Cy%29)
So:
![=> A' = (-1,1)](https://tex.z-dn.net/?f=%3D%3E%20A%27%20%3D%20%28-1%2C1%29)
![=> B' = (-2,3)](https://tex.z-dn.net/?f=%3D%3E%20B%27%20%3D%20%28-2%2C3%29)
![=> C' = (-4,3)](https://tex.z-dn.net/?f=%3D%3E%20C%27%20%3D%20%28-4%2C3%29)
![=> D' = (-5,1)](https://tex.z-dn.net/?f=%3D%3E%20D%27%20%3D%20%28-5%2C1%29)
When a point is translated 2 units down, the rule is:
![(x,y) => (x,y-2)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%3D%3E%20%28x%2Cy-2%29)
So:
![=> A" =(-1,-1)](https://tex.z-dn.net/?f=%3D%3E%20A%22%20%3D%28-1%2C-1%29)
![=> B" =(-2,1)](https://tex.z-dn.net/?f=%3D%3E%20B%22%20%3D%28-2%2C1%29)
![=> C' = (-4,3)](https://tex.z-dn.net/?f=%3D%3E%20C%27%20%3D%20%28-4%2C3%29)
![=> C" =(-4,1)](https://tex.z-dn.net/?f=%3D%3E%20C%22%20%3D%28-4%2C1%29)
![=> D" =(-5,-1)](https://tex.z-dn.net/?f=%3D%3E%20D%22%20%3D%28-5%2C-1%29)
So, the new coordinates are:
![B" =(-2,1)](https://tex.z-dn.net/?f=B%22%20%3D%28-2%2C1%29)
![D" =(-5,-1)](https://tex.z-dn.net/?f=D%22%20%3D%28-5%2C-1%29)
Answer:
Step-by-step explanation:
- 3x-2y =7
- x+2y= -3
- 4x=4
- x=4/4
- x=1
- 3x-2y=7
- 3(1)-2y=7
- 3-2y=7
- -2y=7-3
- -2y=4
- 2y=-4
- y=-4/2
- y= -2
- Verify solution
- x+2y= -3
- 1+2y= -3
- 2y=-3-1
- 2y= -4
- y= -4/2
- y= -2
Answer:
square root of five but if it needs to be simplified then 2.24 (rounded)
Step-by-step
Answer:
Step-by-step explanation:
Given that According to a video streaming service, 48% of American couples are "cheaters", that is—they promise each other to watch a filmtogether, but one of them first watches it alone.
Here if this is binomial with two outcomes we can easily say that the other 52% couples go together movies.
But here there are not only two outcomes.
The other possibilities are:
i) Either both do not go to movies
ii) Both cheat and go to movies separately
Thus since there are not exactly two outcomes, we cannot say the other 52% go to movies together.
As much as say that 52% of couples are not cheating in this way.