A tower in Maintown sends radio signal a certain distance (in miles) according to the equation:
x2 + y2 = 8,100. The Smith family lives 50 miles south and 70 miles east of Maintown.

Part 1: Can the Smith family receive the radio signal from Maintown? (3 points)

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

Question

A tower in Maintown sends radio signal a certain distance (in miles) according to the equation: 
x2 + y2 = 8,100. The Smith family lives 50 miles south and 70 miles east of Maintown. 

Part 1: Can the Smith family receive the radio signal from Maintown? (3 points) 

Part 2: In complete sentences, explain your reasoning. (3 points)

mathstudent55 · Answer

Plug in 50 for x and 70 for y, and evaluate x^2 + y^2

anonymous · Answer

hmm...ok i plugged it in. but what do you mean by "evaluate"?

mathstudent55 · Answer

Calculate a number

mathstudent55 · Answer

x^2 + y^2 for x = 50 and y = 70:
50^2 + 70^2 =

anonymous · Answer

sorry for the long wait..is it 120^2?

mathstudent55 · Answer

No. You need to square each number and add the squares together.

mathstudent55 · Answer

50^2 + 70^2 =
2500 + 4900 = 7400

anonymous · Answer

oh...ok that's easy...so that's the answer?

mathstudent55 · Answer

Since 7400 is less than 8100, they are within the range to get reception.

anonymous · Answer

thanks lot man :) peace bro.