Question

find the distance between the points (-20, -19) and (2, 11). round decimals to the nearest tenth. units

Explanation:

Step1: Identify the 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: Assign the values of the points

Let $(x_1,y_1)=(-20,-19)$ and $(x_2,y_2)=(2,11)$. Then $x_2 - x_1=2-(-20)=2 + 20=22$ and $y_2 - y_1=11-(-19)=11 + 19 = 30$.

Step3: Calculate the squares

$(x_2 - x_1)^2=22^2 = 484$ and $(y_2 - y_1)^2=30^2=900$.

Step4: Sum the squares

$(x_2 - x_1)^2+(y_2 - y_1)^2=484 + 900=1384$.

Step5: Calculate the square - root

$d=\sqrt{1384}\approx37.2$.

Answer:

$37.2$