Answer:
System of linear equations

a: adult ticket price and c: child ticket price
Step-by-step explanation:
This system of equations can be used to find the price of the adult and child tickets.
We have two equations (one for each day) and two unknowns (adult ticket price and child ticket price).
Let a: adult ticket price and c: child ticket price,
we have for the first day that 3 adult tickets and 1 child ticket adds $38:

and for the second day we have that 2 adult tickets and 2 child tickets adds $52:

If we write this as a system of equations, we have:

Answer:
cot(∅) = 
Step-by-step explanation:
tan ∅ and cot ∅ are inverse functions
therefore the inverse of
tan ∅ = √15 / 10
is equal to
cot ∅ = 10 / √15
Rationalizing the denominator
* 
cot ∅ = 
Answer: 180.5
9.5
X19.0
=180.5
The slope of a line is rise over run, which is the change in y over the change in x. Here, the change in y over the change in x would simplify to (3-2)/(2-4). It does not matter what point you choose to put as the first value, but if you put that point as the first value for x, you have to do the same for y. This equation simplifies to our answer of a slope of 1/2 or 0.5