Question

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

Answer 1

Answer:

AB = 13

Step-by-step explanation:

The formula of a distance between two points

$A(x_1,\ y_1),\ B(x_2,\ y_2)\\\\d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

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

Substitute:

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