X^2 + y^2 -2y-11=0
x^2 + y^2 -2y=11
x^2 + y^2 -2y + ? = 11 + ?
x^2 + y^2 -2y + 1 = 11 + ?
x^2 + y^2 -2y + 1 = 11 + 1
x^2 + (y-1)^2 = 12
Solution: Circle
<u>Answer:</u>
csc = 5/4
<u>Step-by-step explanation:</u>
Assuming that the two given points 3/5 and 4/5 are the two sides of a triangle and a right angle 0 with legs x and y and z as its hypotenuse.
Then using Pythagoras Theorem:





Taking square root on both the sides:

Now, 
and we know that 
Therefore, csc = 5/4.
Answer:
When we have a function f(x), the domain of the function is the set of all the inputs that "work" (Not only in a mathematical way, the context is also important) with the function f(x)
In this case, we have a function M(p) = $2*p
This function represents the amount of money collected depending on the number of people who ride on the ferris whell.
Then p can be only a whole number (we can not have 1.5 people, only whole numbers of people).
And we also know that the maximum capacity of the ferris is 64 people.
Then:
p ≤ 64
And we also should add the restriction:
0 ≤ p ≤ 64
(Because p can't be smaller than zero)
Such that p should also be an integer, then, the domain is:
D: p ∈ Z, p ∈ {0, 1, 2, ..., 64}