Answer:
25
Step-by-step explanation:
3877 divided by 36 is 107.69. That means each person could get 107 masks (always round down in these problems)
36 time 107 is 3852, and 3877 minus 3852 is 25. This is how many will be left over.
You know that if you are multiplying a number by 5, and multiplying the same number by 6, 6 is going to be bigger
The equation for a circle is (x-h)^2 +(y-k)^2=r^2
You just have to plug in your coordinates h is the x and k is the y.
The r is radius squared.
so, (x-2)^2+(y-(-5)^2=144
You have to be careful of those tricky negative values. When you distribute the y-(-5) it turns into y+5.
So your answer is D.
The Lagrangian is

It has critical points where the first order derivatives vanish:



From the first two equations we get

Then

At these critical points, we have
(maximum)
(minimum)