Answer:
D
Step-by-step explanation:
Reflection over the X-axis
All point passes, (x,-y)
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:
.00059 or .0006
Step-by-step explanation:
You are trying to find what won't be in the water because there are many combinations so you use a complement formula.
1-0.79=0.29
Use the left over percentage in an equation to determine the probability.
![1-(0.29)^6=0.000594823](https://tex.z-dn.net/?f=1-%280.29%29%5E6%3D0.000594823)
The exponent 6 comes from the number of locations.