Answer:
The equation of all possible locations of the bear where the transmitter would be at its maximum range is [tex]x^2+y^2=256[/tex].
Step-by-step explanation:
Consider the provided information.
Let the origin of a coordinate system at the research station, and the range is 16 miles.
That meas the maximum distance bear can cover is 16 miles and bear can move in any direction.
Center (0, 0) = (h, k)
The equation of circle with center at origin is:
[tex]x^2+y^2=r^2[/tex]
Where r is the radius.
Substitute r = 16 in above formula.
[tex]x^2+y^2=(16)^2[/tex]
[tex]x^2+y^2=256[/tex]
Hence, the equation of all possible locations of the bear where the transmitter would be at its maximum range is [tex]x^2+y^2=256[/tex].
