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

Respuesta :

Answer:

The answer to your question is 6.3 units

Step-by-step explanation:

Data

A (-2, 2)

B (4, 4)

Distance = ?

Formula

dAB = [tex]\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2}}[/tex]

Substitution

x1 = -2   x2 = 4    y1 = 2   y2 = 4

dAB = [tex]\sqrt{(4 + 2)^{2} + (4 - 2)^{2}}[/tex]

Simplification

dAB = [tex]\sqrt{6^{2} + 2^{2}}[/tex]

dAB = [tex]\sqrt{36 + 4}[/tex]

dAB = [tex]\sqrt{40}[/tex]

Result

dAB = 6.3 units