Answer:

Step-by-step explanation:
If theta is in the third quadrant, draw the diagram to easily identify the other trigonometric relations:
Solve for the missing leg of the triangle, using the Pythagorean theorem:

Therefore, for the trigonometric relationships:

Now, substitute and solve for the relations:

This is the simplest form of the fraction.
s = hours it takes the small pipe on its own.
L = hours it takes the large pipe on its own.
we know the small pipe can do it in 11 hours total, so s = 11, so, how much of the whole job has the small done in 1 hour only?
well, if it takes 11 hours to do the whole thing, in 1 hour it has done only 1/11 of the whole job.
we know both pipes working together can do it in 6 hours flat. So in 1 hour only, both of them have done only 1/6 of the whole thing.
in that 1 hour, how much has the large one done? well, it has only done 1/L of the job.

and you can round that up as needed.
The vertex is (26,14)
Because it’s written in vertex form which y=a(x-h)^2 + k. H is the x for the vertex And h is changed to it’s opposite. So since 26 is negative it would actually be positive 26. While k ls the y of the vertex which is 14 in our case