Question

Which expression can be used to determine the length of segment AB?

Answer 1

Answer:

see explanation

Step-by-step explanation:

Calculate the length using the distance formula

AB = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = A(4,3) and (x₂, y₂ ) = B(- 2, 1)

AB = $\sqrt{(-2-4)^2+(1-3)^2}$

     = $\sqrt{(-6)^2+(-2)^2}$

     = $\sqrt{36+4}$

     = $\sqrt{40}$

     = $\sqrt{4(10)}$ = $\sqrt{4}$ × $\sqrt{10}$ = 2$\sqrt{10}$ ← exact length

Answer 2

Option A is correct.

AB =  

Step-by-step explanation:

From the figure, we have the coordinates:

A= (4, 3) and B = (-2, 1)

Using distance formula(D) for two points   and  is given by;

Using the points of A =  (4, 3) and B = (-2, 1)

By distance formula:

Length of AB =  

                    =  

Therefore, the length of line segment AB =