Answer:
The frequency = 5/2π
Step-by-step explanation:
* Lets revise some facts about the trigonometry function
- If the function is f(x) = A sin (B x + C) + D
* A is the amplitude
- The amplitude is the height from highest to lowest points and
divide the answer by 2
* The period is 2π/B
- The period is the distance from one peak to the next peak
- Period and Frequency are related where frequency = 1/period
* C is the horizontal shift
- The horizontal shift is how far the function is shifted to left
(C is positive) or to right (C is negative) from the original position.
* D is the vertical shift
- The vertical shift is how far the function is shifted vertically up
(D is positive) or down (D is negative) from the original position.
* Lets solve the problem
∵ f(x) = 3 cos (5x) + 2
∵ f(x) = A sin (B x + C) + D
∴ A = 3 , B = 5 , C = 0 , D = 2
∵ The period = 2π/B
∴ The period = 2π/5
∵ The frequency = 1/period
∴ The frequency = 1/(2π/5) ⇒ multiply up and down by 5
∴ The frequency = 5/2π
Answer:
114 degrees
Step-by-step explanation:
6x+12=3x+63
-3x -12 -3x -12
3x=51
x=17
6(17) +12 = 114
Step-by-step explanation:
That's what I got.
Hope that was helpful
Answer: Choice B) a line parallel to RS through Q
What is really happening is that the angle QRS is being copied so that another congruent triangle forms higher up the page. Through the converse of the corresponding angles theorem, this would lead to the two lines being parallel.
Answer:
6 and 8 minutes
Step-by-step explanation:
The graph shows her speed as being the highest and the table backes it up. 40mph is her top speed
