Question

question 3 of 10 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:

The distance formula between two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(d = \sqrt{(x_1 - x_2)^2+(y_1 - y_2)^2}\). Here, the second point is \((4,8)\), so \(x_2 = 4\) and \(y_2=8\). The correct distance formula - based expression should be \(\sqrt{(x_1 - 4)^2+(y_1 - 8)^2}\), not \(\sqrt{(x_1 - 8)^2+(y_1 - 4)^2}\), so the statement is false.

Answer:

B. False