Question

The distance AB=[?] please help!

Answer 1

`AB = 4.5`

Explanation:

⭐To find the distance between two points, you can use the distance formula:
`d = √((x_2-x_1)^2 +(y_2 - y_1)^2)`, where:

• d = the distance
• 
  `(x_1, y_1)` is one coordinate you want to find the distance from
• 
  `(x_2, y_2)` is another coordinate you want to find the distance from

First, identify the coordinates you need to find the distance between, and label one coordinate as
`(x_1, y_1)` and
`(x_2, y_2)`.

• A(-1,2) =
  `(x_1, y_1)` = (-1,2)
• B(1,-2) =
  `(x_2, y_2)` = (1,-2)

Next, substitute
`(x_1, y_1)` and
`(x_2, y_2)` into the distance formula.

`d = √((1-(-1))^2+(-2-2)^2)`

`d = √((1+1)^2+(-4)^2)`

`d = √(2^2+(-4)^2)`

`d = √(4+16)`

`d = √(20)`

∴ d ≈ 4.5

Answer 2

d = 18

Explanation:

d = square root (x2 - x1)^2 + (y2 - y1)^2

Point A ( -1,2) Point B (1,-2)

Now let's put the number in

d = square root ( 1 -(-1)^2 + (-2 - 2)^2

Now let's get rid of the square root, and we have

(1-(-1) + (-2 -2)^2

2 + (-4)^2

2 + 16

18

So, the distance AB = 18