Answer:
y = 4cos((π/5)x) +3
Step-by-step explanation:
The graph shows the peak of the function to be at x=0, so a cosine function is an appropriate choice for the model.
The value of A is half the difference between the minimum and maximum, so is ...
A = (1/2)(7 -(-1)) = 4
The value of C is the average of the maximum and the minimum, so is ...
C = (1/2)(7 +(-1)) = 3
The value of k must be chosen so that for one full period, kx is 2π. We note that one minimum is at -5, and the next is at +5, so the period of this waveform is (5 -(-5)) = 10. Then ...
k·10 = 2π
k = π/5 . . . . . divide by 10 and reduce the fraction
Now, we have all the parameters of our function:
y = 4cos((π/5)x) +3
Do You have a textbook if so you can read and tell me what you learned.
6.000 - 4.000 = 2.000
It is a very simple equation. The easiest way to remember it would be to look at the first two numbers. 6 subtract 4 equals 2. So when you see this equation, simply for starters do 6 subtract 4, which equals 2, and then add a decimal place and the 3 zeros at the end. Does that make sense? Please let me know whether this was useful to you or not, and if you have any further questions please feel free to ask so on comments. Thank you!
Answer:
90°
Step-by-step explanation:
5, 12 and 13 are the sides of a right triangle ( Pythagorean triple )
13 is the measure of the hypotenuse whose opposite angle is 90°