Question

question 6 of 10 if a = (0, 0) and b = (2, 5), what is the approximate length of $overline{ab}$? a. 5.39 units b. 5.74 units c. 2.65 units d. 4.58 units

Explanation:

Step1: Recall distance formula

$d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$

Step2: Identify coordinates

Let $(x_1,y_1)=(0,0)$ and $(x_2,y_2)=(2,5)$

Step3: Substitute values

$d=\sqrt{(2 - 0)^2+(5 - 0)^2}=\sqrt{2^2 + 5^2}=\sqrt{4 + 25}=\sqrt{29}$

Step4: Calculate square - root

$\sqrt{29}\approx5.39$

Answer:

A. 5.39 units