ANSWER
The required equation is:

EXPLANATION
The given equation is

Dividing through by 225 we obtain;

This is a hyperbola that has it's centre at the origin.
If this hyperbola is translated so that its center is now at (0,5).
Then its equation becomes:

We multiply through by 225 to get;

We now expand to get;


The equation of the hyperbola in general form is

Answer:
The answer is A, parallel.
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
The formula for distance between points is 
So when you inserts the coordinates in this formula, it would be 



=12.08305
Usually, distance is round to whole number. So, it would be 12
Answer:
the greatest factor is 8
Step-by-step explanation:
The Lagrangian is

with critical points where the partial derivatives vanish.



Substitute
into the last equation and solve for
:

Then we get two critical points,

We get an absolute maximum of
at the second point, and an absolute minimum of
at the first point.