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