Question

What is the distance between A and B? Round your answer to the nearest hundredth. (4 points)

A) 4.56
B) 5.35
C) 5.66
D) 6.10

Answer 1

5.66

Explanation:

got it right on test

Answer 2

5.66

Explanation:

The Pythagorean Theorem can be used if we imagine the line AB as the hypotenuse of a triangle sitting on the x-axis. If a line is drawn from point A straight down to the x-axis, at (0,2), the length of that side would be 4 units. The line from point (0,2) to point B would also be 4 units.

Using the Pythagorean Theorem:

`c^(2) = 4^(2) +4^(2) \\c^(2) = 16+16\\c^(2) = 32\\c = √(32) \\c = 5.65685424949\\c = 5.66`

Therefore, the distance between A and B is 5.66.