Jamal is stacking boxes of books for the library book sale. each box contains 24 books. if the stack of boxes is
in the shape of a square-based pyramid, how many books total will there be in a stack of 4 layers?
a. 30
b. 336
c. 28
d. 720

step-by-step explanation:

1. practice, practice & more practice

2. review errors

3. master the key concepts

do not try to memorise the processes.

4. understand your doubts.

5. create a distraction free study environment

6. create a mathematical dictionary

7. apply maths to real world problems.

let's first notice, the center of the hyperbola is at the origin, since the focus points are equidistantly 3 units away from the origin, that also means that the distance "c" from the center to either focus is 3.

it should also be notable that, the traverse axis for this hyperbola is vertical, or namely over the y-axis and therefore, the positive fraction will be the one with y-variable.

the traverse "a" component or distance from the center to either vertex is not 2, is more than 2, so we can safely put it at √5 ≈ 2.24.

the solution, from the graphing of the two lines, is (3,2), i.e., x = 3, y = 2.