Answer:
The graph has a removable discontinuity at x=-2.5 and asymptoe at x=2, and passes through (6,-3)
Step-by-step explanation:
A rational equation is a equation where

where both are polynomials and q(x) can't equal zero.
1. Discovering asymptotes. We need a asymptote at x=2 so we need a binomial factor of

in our denomiator.
So right now we have

2. Removable discontinues. This occurs when we have have the same binomial factor in both the numerator and denomiator.
We can model -2.5 as

So we have as of right now.

Now let see if this passes throught point (6,-3).


So this doesn't pass through -3 so we need another term in the numerator that will make 6,-3 apart of this graph.
If we have a variable r, in the numerator that will make this applicable, we would get

Plug in 6 for the x values.



So our rational equation will be

or

We can prove this by graphing
Answer:
7 ish
Step-by-step explanation:
if you look at where 2.5 would be on the X axis (in-between 2 and 3) and you look at the corresponding Y point, its somewhere near where 7 would be.
Answer:

Step-by-step explanation:
Given

Required
Determine the area with coordinates 
The area is represented as:

Where

and

Substitute values for r, a and b in


Expand


By integratin the above, we get:
![Area = \frac{1}{2}*\frac{(cos(\theta) + 4)sin(\theta) + 3\theta}{2}[0,2]](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B1%7D%7B2%7D%2A%5Cfrac%7B%28cos%28%5Ctheta%29%20%2B%204%29sin%28%5Ctheta%29%20%2B%203%5Ctheta%7D%7B2%7D%5B0%2C2%5D)
![Area = \frac{(cos(\theta) + 4)sin(\theta) + 3\theta}{4}[0,2]](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B%28cos%28%5Ctheta%29%20%2B%204%29sin%28%5Ctheta%29%20%2B%203%5Ctheta%7D%7B4%7D%5B0%2C2%5D)
Substitute 0 and 2 for
one after the other





Get sin(2) and cos(2) in radians



Answer:
2/3 1 4/3 and 5/3
Step-by-step explanation:
just multiply 1/3 with any whole number.