Answer:
[tex]D= 12.64[/tex]
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) = (-10,5) [/tex]
[tex] (x_2,y_2) = (-22,1) [/tex]
Replacing these values in the distance formula
[tex]D =\sqrt{(1-5)^2+(-22-(-10))^2}[/tex]
[tex]D =\sqrt{(-4)^2+(-12)^2}[/tex]
[tex]D =\sqrt{16+144}[/tex]
[tex]D =\sqrt{160}[/tex]
[tex]D= 12.64[/tex]
Hence the Distance is 12.640 units
