Respuesta :

The question requires you to find the distance between points A and B

Point A {-4,-1} and B {5,0}

Apply the formula for length between two points given coordinates;

[tex]d=\sqrt[]{(x_{2-x1)^2\text{ +}(y2-y1)^2}_{}}[/tex]

Use the values in the equation as;

[tex]d=\sqrt[]{(5--4)^2+(0--1)^2}[/tex]

This will give the following;

[tex]d=\sqrt[]{9^2+1^2}[/tex][tex]d=\sqrt[]{81+1}[/tex][tex]d=\sqrt[]{82}\text{ units}[/tex]

Answer : D