In order to find out what the value is when x=π, we have to model the function. It says it is a cosine wave, and a amplitude of 1/3 so we start as
1/3(cos(x))
It says a period of π/3. So the period of a cosine function is
2π/n
Where n is cos(nx)
So to find n, we set the period and that equal to each other
Finding n we get 6. So now we have
1/3(cos(6x))
The shift is -2π. When we have a shift of something, we put the opposite sign with the x. So now it's
1/3(cos(6x+2π))
Factor out a 6 and we get
1/3(cos(6(x+π/3))
If we add the period to x, nothing happens so it remains
1/3(cos(6x))
The vertical shift is -3 so we just add that to everything so it becomes
1/3(cos(6x))-3
Plugging in x=π we get
1/3(cos(6π))-3
Cos(6π) is 1 so it is 1/3 - 3, or -8/3
Answer:
7.) Line, point
8.) Line
9.) Line, point, rotational
10.) Rotational
11.) None
12.) Line
Answer:
7/16
Step-by-step explanation:
3/8=6/16
6/16 + 1/16 = 7/16
Answer:
A= 28.26
C= 18.84
Step-by-step explanation:
A= πr²
A= (3.14) (3²)
A= (3.14) (9)
A= 28.26
C= π·D
C= (3.14) (6)
18.84
Ok so 7 x 5 equals (=) 35. 35 is a factor of 7 and can be divided 5 times by 7.