Respuesta :

Answer:

Step-by-step explanation:

You should use the distance formula:

√(2-(-6) squared + 0 - (-5) squared

8 squared + 5 squared = 64+25 = √89

The answer is approximately 9.433

Two points on a plane are separated by the distance between them. It is possible to calculate the distance between these points. The distance between (-6,-5) and (2,0) is 9.43 units

Given that:

[tex](x_1,y_1) = (-6,-5)[/tex]

[tex](x_2,y_2) = (2,0)[/tex]

The distance (d) between two points is calculated as:

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

So, we have:

[tex]d = \sqrt{(-6-2)^2 + (-5-0)^2}[/tex]

[tex]d = \sqrt{(-8)^2 + (-5)^2}[/tex]

[tex]d = \sqrt{64 + 25}[/tex]

[tex]d = \sqrt{89}[/tex]

Take square roots:

[tex]d = 9.43[/tex]

Hence, the distance between  (-6,-5) and (2,0) is 9.43 units

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