Respuesta :

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