Answer:
|A| - C = 5
Step-by-step explanation:
The maximum value that a sine function can have is 1, and the minimum value is -1.
With this information, to find the minimum value of y, we can use sin(Bx) = -1, and to find the maximum value, we can use sin(Bx) = 1. Then, we have that:
19 = A + C
-5 = -A + C
Summing both equations, we have:
14 = 2C
C = 7
Now, to find the value of A, we can use the first equation:
19 = A + C
19 = A + 7
A = 12
So the value of |A| - C is:
|12| - 7 = 12 - 7 = 5
