If the team’s average time is less than one minute per leg, then the eighth graders earn 50 points. If not, the seventh graders
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LORAN follows an hyperbolic path.
The equation of the hyperbola is:
The coordinates are given as:
The center of the hyperbola is
The distance from the center to the focal points is given as:
Square both sides
The distance from the receiver to the transmitters is given as:
Divide both sides by 2
Square both sides
We have:
This gives
The equation of an hyperbola is:
So, we have:
Hence, the equation of the hyperbola is:
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