Answer:
Option C - Perfect square trinomial.
Step-by-step explanation:
Given : Polynomial 
To find : What pattern is represented by the polynomial?
Solution :
First we make the polynomial in factor form,
Polynomial 
Since, it is not factor clearly so try to make the square.
Taking 4 common,

Identifying the x and y terms in the identity,

Factor the perfect square trinomial,
Therefore, The pattern polynomial represent is perfect square trinomial.
So, Option C is correct.
The second one and the fourth one.
Step-by-step explanation:
As the problem states, it takes 166.5 gallons of water in 3 mins. Since it states it is a proportional relationship, we know that 166.5/3 is the number of gallons pumped in 1 minute. We can write this as g(the number of gallons) = 166.5/3 * m(the number of minutes) ! In additon, 166.5/3 is equivalent to 55.5, which gives us the second and the fourth equation correct!
Answer:
35 because they relevantly parrel which explains it alll