Carlotta subscribes to the HotBurn music service. She can download no more than 16 song files per week. Carlotta has already downloaded 13 song files this week. Write, solve, and graph an inequality to show how many more songs Carlotta can download.

x = number of songs she can still download

x + 8 ≤ 11

   - 8    -8

   ------------

x      ≤ 3

She can only download 3 more songs

Step-by-step explanation:

the battle of gettysburg is considered the "high water mark" of the confederacy because it marked the greatest advance of the confederate forces against the union.

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.