ANSWER
A parabola.
EXPLANATION
The given conic is :

This can be rewritten as:


This is a parabola with the vertex at the origin.
The foci is (0,4)
Therefore the given conic section is a parabola that has an axis of symmetry parallel to the y-axis.
hmmm let's find the distance between B and C first off.

hmmm if BC is that much, then AB + AC = 7, since AB + AC + BC = 12 which is the perimeter, Check the picture below.
3x + 8 = -22
-8 -8
3x = -30
x = -30/3 = -10
Correct choice is 1).
I believe the probability is 1/2
If the last day is y. and then the answer will be y=120-x