Question

question 8 of 25 what is the distance between the two endpoints in the graph below? if necessary, round your answer to two decimal places.

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, $(x_1,y_1)=(-4,-7)$ and $(x_2,y_2)=(5,6)$.

Step2: Calculate differences

$x_2 - x_1=5-(-4)=9$ and $y_2 - y_1=6 - (-7)=13$.

Step3: Apply formula

$d=\sqrt{9^2 + 13^2}=\sqrt{81+169}=\sqrt{250}\approx 15.81$.

Answer:

C. 15.81 units