The equation of the rotating light is an illustration of a secant function
The equation that represents the distance between the center of the circle and the light source is 
<h3>How to determine the equation</h3>
The equation is a secant function represented by
Where:
A represents the amplitude
So, we have:
--- the distance of the light from each square wall
B represents the period, and it is calculated as:
The light completes its full rotation every 6 seconds.
This means that,
T = 6
So, we have:
Simplify
Substitute values for A and B in
Rewrite as a function
Hence, the equation that represents the distance between the center of the circle and the light source is
Read more about trigonometry functions at:
brainly.com/question/1143565
Answer:
a) 
b) $12,000
Step-by-step explanation:
We are given the following information in the question:
The cost C of moving rubble is proportional to the product of the mass M of the rubble and the distance D the rubble must be moved.
This can be written as:
a)
b) It costs 50 dollars to move 1 ton of rubble 1 mile
We have to find cost to move 16 tons 15 miles.
Putting the values in the function:
Thus, $12,00 is the cost to move 16 tons 15 miles.
1/4 * -8= -8/4=-2
Basically act as if -8 has a denominator of 1 and just multiply across.
- Hope this helps :)
<h3>
Answer: No solutions (system is inconsistent)</h3>
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Explanation:
Rearrange the first equation into 
So we have this equivalent system
If you add the terms straight down, then you'll find that the x^2 and y^2 terms add to 0. The right hand side terms add to 16+16 = 32
We are left with the equation 0 = 32, which is a false equation or contradiction. Therefore, there are no solutions. We say the system is inconsistent. The two graphs do not intersect at all as shown in the diagram below. We have two hyperbolas in which the branches extend off to infinity to slowly approach the asymptotes. They never actually get to the asymptotes, but only get closer.
