Question

Plz help dont skip

Using the distance formula, d = √(x2 - x1)2 + (y2 - y1)2, what is the distance between point (-2, 2) and point (4, 4) rounded to the nearest tenth?


4 units


5.7 units


1 unit


6.3 units

Answer 1

The answer to your question is 6.3 units

Explanation:

Data

A (-2, 2)

B (4, 4)

Distance = ?

Formula

dAB =
`\sqrt{(x2 - x1)^(2) + (y2 - y1)^(2)}`

Substitution

x1 = -2 x2 = 4 y1 = 2 y2 = 4

dAB =
`\sqrt{(4 + 2)^(2) + (4 - 2)^(2)}`

Simplification

dAB =
`\sqrt{6^(2) + 2^(2)}`

dAB =
`√(36 + 4)`

dAB =
`√(40)`

Result

dAB = 6.3 units