If A = (10,4) and B = (2, 19), what is the length of AB? A. 17 units B. 23 units C. 15 units D. 12 units

Question

asked Oct 19, 2020 62.0k views

2 Answers

Andrew · Answer 1 · 2020-10-24T01:51:48+0000

Answer:

Opt A. 17

Explanation:

This is the distance between two points, which can be obtained with following equation.

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

Where (x2,y2)=(10,4) and (x1,y1)=(2,19)

Therefore, if we develop a little with the following:

(10-2)^2=(8)^2=64

(4-19)^2=(-15)^2=225

Evaluating that in the equation, we have: sqrt(64+125)= sqrt(289)=17

That is the distance between those points.