Question

A tower in Bloomington sends radio signal a certain distance (in miles) according to the equation:
x^2 + y^2 = 6,400. The Richards family lives 50 miles north and 70 miles west of Bloomington.

Part 1: Can the Richards family receive the radio signal from Bloomington? (3 points)

Part 2: In complete sentences, explain your reasoning. (3 points)

HELP!!!!!!!!!!
PLZ
HELP!!!!!!!!!!

Answer 1

i assume you meant to type

x^2 + y^2 = 6400

That is a circle with radius 80.

Using the distance formula the family lives sqrt(50^2 + 70^2), or sqrt(7400), miles from the station.

Sqrt(7400) > 80 so the family lives beyond the reach of the signal.

The answer to part 1 is no.
The answer to part 2 is that they live beyond the 80 mile reach of the signal.
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