Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

select the correct answer. what is the length of vw? a. 16 units b. $sq…

Question

select the correct answer. what is the length of vw? a. 16 units b. $sqrt{13}$ units c. 20 units d. $sqrt{20}$ units

Explanation:

Step1: Identify coordinates

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

Step2: Apply distance formula

\[d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}=\sqrt{(-2+4)^2+(2 + 2)^2}=\sqrt{4 + 16}=\sqrt{20}\]

Answer:

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