Respuesta :

Answer:

The answer to your question is dAB = [tex]\sqrt{8}[/tex]

Step-by-step explanation:

Data

A (-6, 4)

B (-8, 6)

Process

To solve this problem, just use the formula of the distance between to points, substitute the values, simplify and get the answer.

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

x1 = -6    y1 = 4    x2 = -8   y2 = 6

-Substitution

dAB = [tex]\sqrt{(-8 + 6)^{2} + (6 - 4)^{2}}[/tex]

-Simplification

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

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

-Result

dAB = [tex]\sqrt{8}[/tex]