Question

incorrect
your answer is incorrect.
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.
your answer
4.242 units
1 unit

Explanation:

Step1: Identify coordinates of A and B

Let \(A=(x_1,y_1)=(2,3)\), \(B=(x_2,y_2)=(6,7)\)

Step2: Apply distance formula

The distance formula is \(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
Substitute values: \(d=\sqrt{(6-2)^2+(7-3)^2}\)

Step3: Calculate differences and squares

\(d=\sqrt{4^2+4^2}=\sqrt{16+16}\)

Step4: Simplify and compute value

\(d=\sqrt{32}=4\sqrt{2}\approx5.66\)

Answer:

5.66 units