Question

What is the distance between points A (-2, 1) and B (2, 4)?​

Answer 1

5

Explanation:

A(-2 , 1) ; B(2 , 4)

`Distance = \sqrt{(x_(2)-x_(1))^(2)+(y_(2)-y_(1))^(2)}\\\\`

`= \sqrt{(2-[-2])^(2)+(4-1)^(2)}\\\\= \sqrt{(2+2)^(2)+(4-1)^(2)}\\\\= \sqrt{(4)^(2)+(3)^(2)}\\\\= √(16+9)\\\\= √(25)\\\\= √(5*5)\\\\= 5`