Respuesta :

Answer:

[tex]d=6\sqrt{2}[/tex]

or

[tex]d = 8.48[/tex]

Step-by-step explanation:

Given:

The given points are (3,-4) and (-3,2).

Assume, we need to find the distance between two points.

Solution:

Distance formula of the two points.

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

Now we substitute give points (3,-4) and (-3,2) in above equitation.

[tex]d=\sqrt{(-3-3)^{2}+(2-(-4))^{2}}[/tex]

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

[tex]d=\sqrt{36+(6)^{2}}[/tex]

[tex]d=\sqrt{36+36}[/tex]

[tex]d=\sqrt{72}[/tex]

[tex]d=6\sqrt{2}[/tex]

or

[tex]d = 8.48[/tex]

Therefor, the distance between the given points [tex]d=6\sqrt{2}[/tex] or [tex]d = 8.48[/tex]