Question

If A= (-1,-3) and B = (11,-8), what is the length of Ad?

Answer 1

AB = 13

Explanation:

The formula of a distance between two points

`A(x_1,\ y_1),\ B(x_2,\ y_2)\\\\d=√((x_2-x_1)^2+(y_2-y_1)^2)`

We have the points A(-1, -3) and B(11, -8).

Substitute:

`AB=√((-8-(-3))^2+(11-(-1))^2)=√((-8+3)^2+(11+1)^2)\\\\=√((-5)^2+12^2)=√(25+144)=√(169)=13\\\\√(169)=13\ \text{because}\ 13^2=169`