Question

What is the length of segment AB? (1 point) Coordinate grid shown from negative 8 to positive 8 on both x axis and y axis at intervals of 1. A straight line labeled AB is drawn. A is the ordered pair 0, 6 and B is the ordered pair 6, 0. Group of answer choices Square root of 72 Square root of 140 12 36

Answer 1

Answer:

The distance between points A and B is 8.5 units, approximately.

Step-by-step explanation:

In the image attached you can observe a representation of the problem.

We have to find the distance between points A and B, which have coordinates (6,0) and (0,6), respectively.

The definition of distance between to given points is

$d=\sqrt{(y_{2} -y_{1} )^{2} +(x_{2} -x_{1})^{2} }$

Using points A and B, the distance between is

$d_{AB}=\sqrt{(6-0)^{2} +(0-6)^{2} } =\sqrt{36+36}=\sqrt{72} \\ d_{AB} \approx 8.5$

Therefore, the distance between points A and B is 8.5 units, approximately.