Answer:
We need the following three rigid motions:
i) Reflection around y-axis, ii) Translation three units in the -y direction, iii) Translation four units in the -x direction.
Step-by-step explanation:
We need to perform three operations on pentagon ABCDE to create pentagon A'B'C'D'E':
i) Reflection around y-axis:
(Eq. 1)
ii) Translation three units in the -y direction:
(Eq. 2)
iii) Translation four units in the -x direction:
(Eq. 3)
We proceed to proof the effectiveness of operations defined above by testing point D:
1) 
Given.
2) 
By (Eq. 1)
3) 
By (Eq. 2)
4) 
By (Eq. 3)/Result
Answer:
16 seconds (Approximately)
Step-by-step explanation:
Given:
The function that gives the distance of snowboarder from the bottom of hill with time 'x' is:
Final position of the snowboarder is 
Now, plugging in 100 for 'd' and solving for 'x', we get:
Adding -1100 both sides, we get:
Dividing both sides by -4, we get:
Taking square root and neglecting the negative root as time can't be negative. So,
Therefore, after 16 seconds, the snowboarder will be at a distance of 100 ft from bottom of hill.
Well , in 3 hours , the amount of the tank that will be filled with pipe A = 8,000 x 3 = 24,000 L
Pipe could empty that 24,000 L in 3 hours.
So the capacity is around 6 - 8 L . .. . we need additional information to find out for sure
hope this helps
