Question

Find the distance between A and B.

A. 2√5 Units
B. √6 Units
C. 4 Units
D. 2√3 Units

Answer 1

The result is
`d = 2√(5)` units.

Explanation:

The coordinates for A and B:

A = (-2, 0)

B = (2, 2)

-To find the distance between A and B, you need the distance formula:

`d = \sqrt{(x_(2) - x_(1))^2 + (y_(2)-y_(1))^2}` Where the first coordinate is
`(x_(1),y_(1))` and the second coordinate is
`(x_(2), y_(2))`.

-Use the coordinates A and B for the equation:

`d = √((2+2)^2 + (2-0)^2)`

-Then, you solve the equation:

`d = √((2+2)^2 + (2-0)^2)`

`d = √((4)^2 + (2)^2)`

`d = √(16 + 4)`

`d = √(20)`

`d = 2√(5)`

So, therefore the distance is
`2√(5)` units.