Answer:
10.44 units
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) = (0,-8) [/tex]
[tex] (x_2,y_2) = (3,2) [/tex]
Replacing these values in the distance formula
[tex]D =\sqrt{(8-(-2))^2+(3-0)^2}[/tex]
[tex]D =\sqrt{(8+2)^2+(3)^2}[/tex]
[tex]D =\sqrt{100+9}[/tex]
[tex]D =\sqrt{109}[/tex]
[tex]D= 10.44 [/tex]
Hence the distance is 10.44 units
