Answer:
The frequency of the given sinusoidal graph is 4.
Step-by-step explanation:
The frequency of a sinusoidal graph is the number of cycles it completes in the interval 0 to 2π radians.
From the given sinusoidal graph it is noticed that the the graph complete its one cycle in the interval 0 to
.
If the complete its one cycle in
, then the number of cycles completed by the graph in the inteval 0 to 2π is
![\frac{\pi}{2}\times frequency=2\pi](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%7D%7B2%7D%5Ctimes%20frequency%3D2%5Cpi)
![frequency=2\pi \times \frac{2}{\pi}](https://tex.z-dn.net/?f=frequency%3D2%5Cpi%20%5Ctimes%20%5Cfrac%7B2%7D%7B%5Cpi%7D)
![frequency=4](https://tex.z-dn.net/?f=frequency%3D4)
Therefore the frequency of the given sinusoidal graph is 4.
Greetings :)
To find slope of two points we will need to use this equation: ![\frac{y^2-y^1}{x^2-x^1}](https://tex.z-dn.net/?f=%5Cfrac%7By%5E2-y%5E1%7D%7Bx%5E2-x%5E1%7D)
( 6 , -12 ) ( 15 , -3 )
Now let's replace the equation with the numbers. (it will be a fraction).
= ![\frac{9}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B9%7D)
The equation equals 9 over 9, which also equals 1.
The slope of the line is 1.
By doing long division. Answer is 7/135
The answer will be 210 seconds. 60 X 3 = 180+ 30= 210