Question

What is the length of the line segment AB is point A is (12, -2) and B is (-4, -8)? Round to the nearest tenth.

Answer 1

Answer:

The length of the line segment AB is 17.1

Step-by-step explanation:

Distance Between two Points in the Plane

Given two points A(x1,y1) and B(x2,y2), the distance between them is:

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

We are given the points A(12,-2) and B(-4,-8). Applying the formula:

$d=\sqrt{(-4-12)^2+(-8+2)^2}$

$d=\sqrt{(-16)^2+(6)^2}$

$d=\sqrt{256+36}=\sqrt{292}$

d = 17.1

The length of the line segment AB is 17.1