Answer:
D=10.71
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) = (8,-1)[/tex]
[tex](x_2,y_2) = (-2,3)[/tex]
Replacing these values in the distance formula
[tex]D =\sqrt{(3-(-1))^2+(-2-8)^2}[/tex]
[tex]D =\sqrt{(3+1))^2+(-10)^2}[/tex]
[tex]D =\sqrt{(4)^2+(-10)^2}[/tex]
[tex]D =\sqrt{16+100}[/tex]
[tex]D =\sqrt{116}[/tex]
[tex]D= 10.71[/tex]
