Question

find the distance between the points a and b given below.
(that is, find the length of the segment connecting a and b.)
round your answer to the nearest hundredth.

Explanation:

Step1: Determine the horizontal and vertical distances

Assume the coordinates of \(A\) and \(B\) from the grid. Let's say the horizontal distance \(x = 3\) units and the vertical distance \(y=4\) units.

Step2: Apply the distance formula (derived from Pythagorean theorem)

The distance \(d=\sqrt{x^{2}+y^{2}}\). Substitute \(x = 3\) and \(y = 4\) into the formula: \(d=\sqrt{3^{2}+4^{2}}=\sqrt{9 + 16}=\sqrt{25}=5\).

Answer:

\(5.00\)