Question

thomas is planning a garden in his yard, and he wants to incorporate various features in the space. hes using mathematical concepts to plan the layout efficiently. thomas wants to create a path that connects two points in his yard. he needs to determine the length of the path. calculate the distance between the starting point (3, 2) and the ending point (5, 7). round your answer. a. 10 b. 5 c. 25 d. 12

Explanation:

Step1: Recall distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here, $x_1 = 3,y_1 = 2,x_2 = 5,y_2 = 7$.

Step2: Substitute values

$d=\sqrt{(5 - 3)^2+(7 - 2)^2}=\sqrt{2^2+5^2}=\sqrt{4 + 25}=\sqrt{29}\approx5.4$. Rounding to the nearest whole - number, $d\approx5$.

Answer:

B. 5