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:
see attachment
Step-by-step explanation:
The given equation is

The graph of the left hand side of this equation is

This quadratic graph has its vertex at (0,2) and turns upside down.
The right hand side of the equation is

This quadratic graph opens upwards and has its vertex at (0,-8).
The two graphs intersects at two points , which are (-2,0) and (2,0).
IT's just a simple conversion.
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Ok. So, when you divide with decimal places, you have two options -
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Suck it up and divide, or move the decimal places to the right as many times as needed, until the number is a whole number.
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Choosing to move the decimal places to the right is the easy way out...
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So?
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Move decimal point to the right two places in both numbers!!
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80 and 64.
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So what is 80/64?
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You got it!!
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1.25.
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Hope I helped!!
Answer:
612 Hz.
Step-by-step explanation:
The frequency of the sound will be proportionally higher when coming towards you. The increase is related to the speed of the train.
So the frequency will be:
580 + (580 / 343) * 18.8
= 612 Hz.
This is called the Doppler effect.