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question 5 of 10 the distance between points (x1, y1) and (4, 8) is the…

Question

question 5 of 10
the distance between points (x1, y1) and (4, 8) is the square root of (x1 - 8)^2+(y1 - 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 $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$.

Step2: Identify given points

Here $(x_1,y_1)$ and $(x_2,y_2)=(4,8)$.

Step3: Apply formula

The distance should be $\sqrt{(4 - x_1)^2+(8 - y_1)^2}$, not $\sqrt{(x_1 - 8)^2+(y_1 - 4)^2}$.

Answer:

B. False