Question

directions - use the distance formula to find the distance between the two points (round to two decimal places, if needed). (-2,8) and (4,0) distance formula: √(x₂ - x₁)² + (y₂ - y₁)² distance = 8√10

Explanation:

Step1: Identify coordinates

Let $(x_1,y_1)=(-2,8)$ and $(x_2,y_2)=(4,0)$

Step2: Apply distance formula

Substitute into $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
$\sqrt{(4-(-2))^2+(0-8)^2}=\sqrt{(6)^2+(-8)^2}$

Step3: Calculate squares

$\sqrt{36 + 64}=\sqrt{100}$

Step4: Compute square root

$\sqrt{100}=10$

Answer:

10