Respuesta :

Answer:

D=2.82

Step-by-step explanation:

Here we are given with two coordinates and asked to determine the distance between them.

Here we are going to use the distance formula, which is given as under

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

Where

[tex] (x_1,y_1) = (-1,2) [/tex]

[tex] (x_2,y_2) = (-3,4) [/tex]

Replacing these values in the distance formula

[tex]D =\sqrt{(-1-(-3))^2+(2-4)^2}[/tex]

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

[tex]D =\sqrt{(2)^2+4}[/tex]

[tex]D =\sqrt{4+4}[/tex]

[tex]D =\sqrt{8}[/tex]

[tex]D= 2.8284 [/tex]

Hence the Distance is 2.82 units

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