1. Derek adds water to a pool at a rate of 12 gallons per minute and then reduces the

rate to 8 gallons per minute. Derek adds water to the pool for a total of 2 hours. Lett

be the time in hours that he adds water to the pool at the faster rate. Write algebraic

expressions to represent how many minutes he adds water to the pool at each rate.

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.

yes, i think so although i am not sure. this is a very strange question.

the circumference is c≈245.04