On a sine function y = Asin(Bx) +C , the maximum value is 19 and the minimum value is -5. Which of the following must be the value of |A| - C ?

|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

180

step-by-step explanation:

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet