Respuesta :

Option D:

[tex]d=\sqrt{(19+1)^2+(20+1)^2}[/tex]

Explanation:

Given data:

The points are (–1, –1) and (19, 20).

To find the distance between two points:

[tex]x_1=-1, y_1=-1, x_2=19, y_2=20[/tex]

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]d=\sqrt{(19-(-1))^2+(20-(-1))^2}[/tex]

[tex]d=\sqrt{(19+1)^2+(20+1)^2}[/tex]

Hence option D is the correct answer.