Respuesta :

Answer:

The distance between points A and B is 13

Step-by-step explanation:

We need to find distance between points A and B

Looking at the graph,

Point A : (2,6) and Point B: (-3,-6)

We need to find the distance between these points.

The formula used is: [tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\[/tex]

We have Points A : (2,6) and  B: (-3,-6)

So, [tex]x_1=2, y_1=6, x_2=-3, y_2=-6[/tex]

Putting values in formula and finding distance

[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\\Distance=\sqrt{(-3-2)^2+(-6-6)^2} \\Distance=\sqrt{(-5)^2+(-12)^2} \\Distance=\sqrt{25+144} \\Distance =\sqrt{169}\\Distance = 13[/tex]

So, the distance between points A and B is 13

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