Question

What is the distance between -2,-3 and 3,3

Answer 1

`√(61)` (= 7.81 )

The distance between (-2,-3) and (3,3) is 7.81

Explanation:

The distance between two points can be calculated using :

`\sqrt{(X_(2)-X_(1))^(2) + (Y_(2)-Y_(1))^(2)}`

First point A = (-2,-3)

`X_(1)` = -2

`Y_(1)` = -3

Second Point B = (3,3)

`X_(2)` = 3

`Y_(2)` = 3

Insert the value of X and Y coordinates in the formula:

`\sqrt{(X_(2)-X_(1))^(2) + (Y_(2)-Y_(1))^(2)}`

`\sqrt{(3- (-2))^(2) + (3- (-3))^(2)}`

`\sqrt{(3 + 2)^(2) + (3 + 3)^(2)}`

`\sqrt{(5)^(2) + (6)^(2)}`

`√(25 + 36)`

`√(61)`

= 7.86

Distance between A and B is 7.81