Question

find the distance between the points (20, 6) and (8, -20). round decimals to the nearest tenth. units

Explanation:

Step1: Identify distance - formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$.
Let $(x_1,y_1)=(20,6)$ and $(x_2,y_2)=(8, - 20)$.

Step2: Calculate differences

$x_2 - x_1=8 - 20=-12$ and $y_2 - y_1=-20 - 6=-26$.

Step3: Square the differences

$(x_2 - x_1)^2=(-12)^2 = 144$ and $(y_2 - y_1)^2=(-26)^2 = 676$.

Step4: Sum the squared - differences

$(x_2 - x_1)^2+(y_2 - y_1)^2=144 + 676=820$.

Step5: Calculate the square - root

$d=\sqrt{820}\approx28.6$.

Answer:

$28.6$