Question

the distance between points $(x_1,y_1)$ and $(4,8)$ is the square root of $(x_1 - 8)^2+(y_1 - 4)^2$.
a. true
b. false

Explanation:

Step1: Recall distance formula

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

Step2: Identify correct values

Here $(x_2,y_2)=(4,8)$, so the distance should be $\sqrt{(x_1 - 4)^2+(y_1 - 8)^2}$, not $\sqrt{(x_1 - 8)^2+(y_1 - 4)^2}$.

Answer:

B. False