Question

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

Answer 1

Answer:

5.66

Step-by-step 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:

$c^{2} = 4^{2} +4^{2} \\c^{2} = 16+16\\c^{2} = 32\\c = \sqrt{32} \\c = 5.65685424949\\c = 5.66$

Therefore, the distance between A and B is 5.66.