Answer:
a is the _amplitude_(Length of the blades)_
The vertical shift, k, is the _Mill shaft height_


Step-by-step explanation:
In this problem the amplitude of the sinusoidal function is given by the length of the blades.

The mill is 40 feet above the ground, therefore the function must be displaced 40 units up on the y axis. So:

We know that the blades have an angular velocity w = 3 rotations per minute.
One rotation = 
1 minute = 60 sec.
So:


Finally:
a is the _amplitude_(Length of the blades)_
The vertical shift, k, is the _Mill shaft height_


Answer:
1. Reflection across the x-axis
2. Translation 6 units to the left and 1 unit up
Step-by-step explanation:
The quadrilateral ABCD has its vertices at points A(3,5), B(6,5), C(4,1) and D(1,1).
1. Reflect quadrilateral ABCD across the x-axis. This reflection has the rule:

then

2. Translate quadrilateral ABCD 6 units to the left and 1 unit up. This translation has the rule:

then

I was stuck on the same thing in my class test. I ended up failing but if I get the answers to it I’ll totally send them to you!!!
Answer:
b= -3
Step-by-step explanation:
3= -b
b= -3
See image that is attached.