Question

1. - / 1 points practice another find the distance between the points (4, 4), (16, 9)

Explanation:

Step1: Recall distance formula

For points $(x_1,y_1)$ and $(x_2,y_2)$, distance $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step2: Assign coordinates

Let $(x_1,y_1)=(4,4)$, $(x_2,y_2)=(16,9)$

Step3: Compute differences

$x_2-x_1=16-4=12$, $y_2-y_1=9-4=5$

Step4: Square and sum differences

$12^2 + 5^2 = 144 + 25 = 169$

Step5: Take square root

$d=\sqrt{169}=13$

Answer:

13