2. loran is a long range hyperbolic navigation system. suppose two loran transmitters are located at the coordinates (-100,0) and (100,0) , where unit distance on the coordinate plane is measured in miles a receiver is located somewhere in the first quadrant. the receiver computes that the difference in the distances from the receiver to these transmitters is 180 miles.

what is the standard form of the hyperbola that the receiver sits on if the transmitters behave as foci of the hyperbola?

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the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).

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