Drag each tile to the correct box. Arrange the functions in increasing order of their periods.
y=-3tan(x+2pi)
y = 2/3csc(x/4)+6
y=-1/2cos(5x/6+pi)
y=5sec(3x) +6
y =-1/3sin(x/3)
y=-10cot(x/2-2pi)

y=5sec(3x) +6

y=-3tan(x+2pi)

y=-10cot(x/2-2pi)

y=-1/2cos(5x/6+pi)

y =-1/3sin(x/3)

y = 2/3csc(x/4)+6

Step-by-step explanation:

Let's say the length is l and the width is w. Since the problem says that the length is "six times the quantity of five less than half its width", we can write the equation:

l = 6 * (w/2 - 5)

Now, the area of a rectangle is of the form: A = lw, where l is the length and w is the width. We can substitute the expression of l above into the equation:

Hope this helps!