Question

question 7 of 10
the distance between points (3, 7) and (x₁, y₁) is the square root of (x₁ - 3)² + (y₁ - 7)².

a. true
b. false

Explanation:

Step1: Recall Distance Formula

The distance formula 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: Apply to Given Points

Here, the two points are \((3, 7)\) and \((x_1, y_1)\). Let \((x_2, y_2)=(3, 7)\) and \((x_1, y_1)\) be the other point. Then the distance \(d=\sqrt{(x_1 - 3)^2+(y_1 - 7)^2}\), which matches the given expression.

Answer:

A. True