Answer: -216
Step-by-step explanation:
To solve the exercise you must use the formula shown below:

Where:

You should find 
The formula to find it is:

Where d is the difference between two consecutive terms.

Then:

Substitute it into the first formula. Therefore, you obtain:

Answer:

And we can solve for
and we got:



And we can solve for
and we got:


So then the coordinates for B are (3,8)
Step-by-step explanation:
For this case we know that the midpoint for the segment AB is (2,5)
And we know that the coordinates of A are (1,2)
We know that for a given segment the formulas in order to find the midpoint are given by:

And we can solve for
and we got:



And we can solve for
and we got:


So then the coordinates for B are (3,8)
We know that the law of sines states that:

For simplicity, let:

In triangle A1BC this leads to:

Therefore:

Now, triangle A2BC is isosceles which means that both the base angles are equal, since angle CA1B and A2A1B are supplementary we have:
Use the Pythagorean theorem (a^2 + b^2 = c^2)
7^2 + 24^2 = x^2
x^2 = 625
x = 25
Answer:
A
Step-by-step explanation:
If you put it in Desmos, you can see that the first one is a linear function.
It moves 5 to the right and move down 2 steps