Question

Find the distance between each pair of points. round to the nearest tenth ((0,5) (3,3)

Answer 1

3.6

Explanation:

Distance formula:

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

Where (x1, y1) represent a pair of coordinates and (x2, y2) represent another pair of coordinates.

We are given:

(0, 5) and (3, 3)

Let's call (0,5) the first pair of coordinates and (3,3) the second pair. But really, you can switch up the order because it'll always equal the same answer.

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

Substitute values:

d =
`√((3 - 0)^2 + (3 - 5)^2)`

Solve inside parenthesis:

d =
`√((3)^2 + (-2)^2)`

Solve exponents:

d =
`√(9 + 4)`

Add:

d =
`√(13)`

d = 3.60555127546

Rounded to the nearest tenth:

d = 3.6