Question

find the distance between the points (-8, 10) and (2, 4). 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 $(x_1,y_1)=(-8,10)$ and $(x_2,y_2)=(2,4)$. Then $x_2 - x_1=2-(-8)=10$ and $y_2 - y_1=4 - 10=-6$.

Step3: Calculate the squares

$(x_2 - x_1)^2=10^2 = 100$ and $(y_2 - y_1)^2=(-6)^2=36$.

Step4: Sum the squares

$(x_2 - x_1)^2+(y_2 - y_1)^2=100 + 36=136$.

Step5: Calculate the square - root

$d=\sqrt{136}\approx11.7$.

Answer:

$11.7$