Question

select the correct answer. the endpoints of wx are w(2,-7) and x(5,-4). what is the length of wx? a. 3 b. 6 c. 18 d. √6 e. 3√2

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, $(x_1,y_1)=(2,-7)$ and $(x_2,y_2)=(5,-4)$.

Step2: Calculate differences

$x_2 - x_1=5 - 2=3$ and $y_2 - y_1=-4-(-7)=-4 + 7 = 3$.

Step3: Substitute into formula

$d=\sqrt{(3)^2+(3)^2}=\sqrt{9 + 9}=\sqrt{18}=3\sqrt{2}$.

Answer:

E. $3\sqrt{2}$