The distance formula is a formula used in mathematics to determine the distance between two points in a coordinate system. This formula, which is derived from the Pythagorean theorem, is represented as √[(x₂ - x₁)² + (y₂ - y₁)²] in a 2-dimensional plane. Here, (x₁, y₁) and (x₂, y₂) denote the coordinates of the two points in question.
| Topic | Problem | Solution |
|---|---|---|
| None | Find the distance $d\left(P_{1}, P_{2}\right)$ be… | We are given two points $P_{1}=(4,2)$ and $P_{2}=(-1,4)$ and we are asked to find the distance betw… |
| None | Find the distance $d(A, B)$ between points $A$ an… | We are given two points A(5,6) and B(-4,18) and we are asked to find the distance between these two… |
| None | 7. A coordinate system is superimposed on a billi… | Find the distance between points A and B: \(AB = \sqrt{(6-2)^2 + (5-3)^2}\) |
| None | 类型 Algebra 问题 What is the shortest distance betwe… | Complete the square for the first equation by adding \((-24/2)^2\) and \((-32/2)^2\) to both sides,… |
| None | Find the distance between the points \( (-9,-4) \… | 1. Find the differences in x-coordinates and y-coordinates: \( \Delta x = -4 -(-9) = 5 \), \( \Delt… |