Answer:
9.4339 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) = (-4,5) [/tex]
[tex] (x_2,y_2) = (4,0) [/tex]
Replacing these values in the distance formula
[tex]D =\sqrt{(-4-4))^2+(5-0)^2}[/tex]
[tex]D =\sqrt{(-8)^2+(5)^2}[/tex]
[tex]D =\sqrt{64+25}[/tex]
[tex]D =\sqrt{89}[/tex]
[tex]D= 9.4339 [/tex]
Hence the distance is 9.4339 units