If point A is located at coordinates (-8,1)and point B is located at coordinates (7,-3),what is the distance from A to B if the units of the coordinated system are meters?
A) 241 m
B) 16 m
C) 21 m
D) 26 m
E) 19 m

Question

If point A is located at coordinates (-8,1)and point B is located at coordinates (7,-3),what is the distance from A to B if the units of the coordinated system are meters?
A) 241 m
B) 16 m
C) 21 m
D) 26 m
E) ​19 m

Quizplus · Accepted Answer

The distance between two points (x1, y1) and (x2, y2) is given by the formula:$$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$$Using this formula, we can find the distance between points A and B:$$d = \sqrt{(7 - (-8))^2 + (-3 - 1)^2}$$$$d = \sqrt{(15)^2 + (-4)^2}$$$$d = \sqrt{225 + 16}$$$$d = \sqrt{241}$$$$d = 15.53 m$$Therefore, the distance from A to B is 15.53 meters. The closest answer choice is B) 16 m.

If Point a Is Located at Coordinates (-8,1)and Point B