The distance between points (3, 7) and (x1, y1) is the square root of (x1 - 3)2 + (y1 - 7)2.A.TrueB.False

Break Down the Problem

1. We need to determine if the given expression for the distance between two points is true.
2. The two points given are (3, 7) and (x1, y1).

Relevant Concepts

1. The formula for the distance $d$ between two points $(x_1, y_1)$ and $(x_2, y_2)$ in a Cartesian plane is given by: $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Analysis and Detail

1. Here, substituting the point (3, 7) as $(x_1, y_1)$ and the point $(x_2, y_2)$ as $(x1, y1)$: $d = \sqrt{(x1 - 3)^2 + (y1 - 7)^2}$ This confirms that the expression $\sqrt{(x1 - 3)^2 + (y1 - 7)^2}$ is indeed the distance between the two points.

Verify and Summarize

1. The given statement is accurate based on the distance formula.

Final Answer

A. True