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. Can the Richards family receive the radio signal from Bloomington? In complete sentences, explain your reasoning.

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.  Can the Richards family receive the radio signal from Bloomington? In complete sentences, explain your reasoning.

anonymous · Answer

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Hopefully, this helps..... 
the radio signal can only reach 80 miles away (according to the equation)

can you find the distance from (50, 70) to Bloominton ???
HINT:  use Pythagorean Theorem...