Question

what is the distance between the points (8, 12) and (16, -3)?
16
17
18
19

Explanation:

Step1: Identify distance formula

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

Step2: Substitute the values

Here, $x_1 = 8,y_1 = 12,x_2 = 16,y_2=-3$. So $d=\sqrt{(16 - 8)^2+(-3 - 12)^2}=\sqrt{8^2+(-15)^2}$.

Step3: Calculate squares

$\sqrt{8^2+(-15)^2}=\sqrt{64 + 225}=\sqrt{289}$.

Step4: Find square - root

$\sqrt{289}=17$.

Answer:

B. 17