Kyle drove x hours
Sally drove x + 7 hours
Added together they both drove 2x + 7 hours
2x +7 = 35 hours
Subtract 7 from both sides:
2x = 28
Divide both sides by 2:
x = 14
Kyle drove 14 hours
Sally drove 21 hours
The answer is B. because two x-values can't be the same y-value
The given function is

The general form of the cosine function is

a is the amplitude
2pi/b is the period
c is the phase shift
d is the vertical shift
By comparing the two functions
a = 4
b = pi
c = 0
d = 1
Then its period is

The equation of the midline is

Since the maximum is at the greatest value of cos, which is 1, then

Since the minimum is at the smallest value of cos, which is -1, then

Then substitute them in the equation of the midline

The answers are:
Period = 2
Equation of the midline is y = 1
Maximum = 5
Minimum = -3
x-y=21 ⇒ x=y+21
x+13=2y
Substitute y+21 for x into the equation x+13=2y
So y+21+13=2y
Simplify 34=y
So Danielle is 34 years old. Plug y back in to the original equation
x-34=21
x=55
Tony is 55 years old