Respuesta :

Answer:

3[tex]\sqrt{2}[/tex] units

Step-by-step explanation:

Given parameters:

    Coordinates = (-6,6) and (-3,3)

Unknown:

The distance between them = ?

Solution:

To find the distance between two points, we use the expression below;

    D  = [tex]\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2} }[/tex]

    x₁ = -6    x₂ = -3

   y₁ = 6       y₂ = 3

    D = [tex]\sqrt{(-3 -(-6))^{2} + (3-6)^{2} }[/tex]   = [tex]\sqrt{18}[/tex]

    D = 3[tex]\sqrt{2}[/tex] units