Answer:

Step-by-step explanation:
Hi there!
Slope-intercept form:
where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when x=0)
<u>1) Determine the slope (</u><u><em>m</em></u><u>)</u>
where two points that fall on the line are
and 
On the graph, two points are highlighted for us: (0,-4) and (2,2). Plug these into the formula:

Therefore, the slope of the line is 3. Plug this into
:

<u>2) Determine the y-intercept (</u><u><em>b</em></u><u>)</u>

Recall that the y-intercept occurs when x=0. Given the point (0,-4), the y-intercept is therefore -4. Plug this into
:

I hope this helps!
Answer:
= 4sqrt3
Step-by-step explanation:
-2i sqrt -12
= -2i * i sqrt12 <-- i^2 = -1
= -2i^2sqrt12
= -2(-1)sqrt12
= 2sqrt12
= 2 * 2 sqrt3
= 4sqrt3
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_


Each square root of a number that does not generated as a square of an integer is irrational. This means that none of the given numbers is rational, that is, they are all irrational.
Good luck!!!!