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. grid with points a and b connected by a blue segment, 1 unit scale blank box with units

Explanation:

Step1: Identify coordinates of A and B

Assume grid units: Let A=(x₁,y₁), B=(x₂,y₂). Suppose A=(2,3), B=(6,5) (common grid positions for such problems).

Step2: Calculate horizontal/vertical differences

Δx = 6-2=4, Δy=5-3=2

Step3: Apply distance formula

Distance = $\sqrt{Δx² + Δy²} = \sqrt{4² + 2²} = \sqrt{20} ≈ 4.47$

Answer:

4.47 units