tower in Bloomington sends radio signal a certain distance (in miles) according to the equation:
x2 + y2 = 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

Question

tower in Bloomington sends radio signal a certain distance (in miles) according to the equation: 
x2 + y2 = 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

mathmate · Answer

The equation represents a circle with radius of sqrt(6400)=80 miles from the tower.
If the sum of the square of the N and W distances add up to more than 6400, then the Richards cannot receive the signal.
Hint: Pythagoras theorem

phi · Answer

|dw:1344218720102:dw|