Question

What is the distance between A and B? Round your answer to the nearest hundredth.

A coordinate plane is shown. Point A is located at negative 2, 4, and point B is located at 2, 0. A line segment connects the two points.

Answer 1

5.66

Explanation:

I took the test and got this question right.

Answer 2

An extension of the Pythagorean Theorem results in what is the so-called "distance formula".

d^2=(x2-x1)^2+(y2-y1)^2, in this case you have points (-2,4) and (2,0) so:

d^2=(2--2)^2+(0-4)^2

d^2=4^2+(-4)^2

d^2=16+16

d^2=2*16

d=√32 units

d=√(2*16)

d=4√2 units

d≈5.66 units (to nearest hundredth of a unit)