Question

directions: use the distance formula to find the distance between the two points (round to two decimal places, if needed).
$(2,a)$ and $(4,0)$
distance formula: $sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$
distance $= 10$

Explanation:

Step1: Identify coordinates

Let $(x_1,y_1)=(3,8)$ and $(x_2,y_2)=(4,0)$

Step2: Apply distance formula

$$\text{Distance}=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}=\sqrt{(4-3)^2+(0-8)^2}$$

Step3: Calculate differences squared

$$=\sqrt{(1)^2+(-8)^2}=\sqrt{1+64}$$

Step4: Compute final value

$$=\sqrt{65}\approx8.06$$

Answer:

8.06