Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 1: Q. 10 (page 14)

True or False The distance between two points is sometimes a negative number.

Short Answer

Expert verified

The given statement is false.

Step by step solution

01

Step 1. Given information.

The given statement is:

The distance between two points is sometimes a negative number.

We need to check whether the given statement is true or false.

02

Step 2. Determine whether the statement is true or false.

If P and Q are two points on a real number line with coordinates aand b, respectively, the distance between P and Q, denoted by d(P,Q), is:

d(P,Q)=b-a

The modulus sign represents that the distance between two points is always a positive number and it cannot be a negative number.

03

Step 3. Conlusion.

The given statement is false.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

True or FalseThe slope of the line2y=3x+5is3.

Graph the line containing the point P and having slope m.

P(1,2),m=3

In Problem 17-36, solve each equation algebraically. Verify your solution using a graphing utility.
x3+2x2-9x-18=0

Show that the line containing the points (a, b) and (b, a), a b, is perpendicular to the line y = x. Also show that the midpoint of (a, b) and (b, a) lies on the line y = x.

Which of the following equations might have the graph shown? (More than one answer is possible.)

(a)2x+3y=6(b)2x-3y=6(c)3x+4y=12(d)x-y=1(e)x-y=-1(f)y=-2x-1(g)y=-12x+10(h)y=x+4
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Mechanics Maths

Read Explanation

Calculus

Read Explanation

Statistics

Read Explanation

Logic and Functions

Read Explanation

Decision Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free