Question

select the correct answer. what is the length of vw? a. 16 units b. √13 units c. 20 units d. √20 units

Explanation:

Step1: Identify coordinates

Let \(W(-4, - 2)\) and \(V(-2,2)\).

Step2: Apply distance formula \(d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\)

Here \(x_1=-4,y_1 = - 2,x_2=-2,y_2 = 2\). Then \(d=\sqrt{(-2-(-4))^2+(2 - (-2))^2}\).

Step3: Simplify the expression inside the square - root

First, \(-2-(-4)=-2 + 4=2\) and \(2-(-2)=2 + 2 = 4\). So \(d=\sqrt{2^2+4^2}=\sqrt{4 + 16}=\sqrt{20}\).

Answer:

D. \(\sqrt{20}\) units