Juan, Rita, Malik, and Krysta formed a team for their school's annual egg-and-spoon race. Each person had to carry an egg balanced on a spoon for an equal part of the total length of the race, which was 10 laps around the gym. How far did each person have to carry the egg? Write your answer as a proper fraction or mixed number.

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step-by-step explanation:

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.

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