Question

a drone flies directly from point a to point b. what is the exact distance it traveled? select color 5 4 3 2 a 1 -3 -2 -1 0 1 2 3 4 5 6 7 8 -1 b -2 3√2 km 8√2 km 2√17 km 4√17 km

Explanation:

Step1: Identify coordinates

Let point A have coordinates $(-1,1)$ and point B have coordinates $(6, - 1)$.

Step2: Apply 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, $x_1=-1,y_1 = 1,x_2=6,y_2=-1$. Then $d=\sqrt{(6-(-1))^2+((-1 - 1))^2}=\sqrt{(6 + 1)^2+(-2)^2}=\sqrt{49 + 4}=\sqrt{53}=2\sqrt{17}$ (since $\sqrt{4\times17}=2\sqrt{17}$).

Answer:

$2\sqrt{17}\text{ km}$