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Answer :

Answer:

[tex]d= 3.61\ units[/tex]

Step-by-step explanation:

The points (missing) from the question are:

-2,1 and -5,3

Required

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

In the points given:

[tex](x_1,y_1) = (-2,1)[/tex] and [tex](x_2,y_2) = (-5,3)[/tex]

Substitute these values in [tex]d= \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2[/tex]

[tex]d= \sqrt{(-5 - (-2))^2 + (3 - 1)^2[/tex]

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

[tex]d= \sqrt{9 + 4[/tex]

[tex]d= \sqrt{13[/tex]

[tex]d= 3.61\ units[/tex] -- approximated