Algebra 2
Algebra 2
1st Edition
ISBN: 9780078884825
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
bartleby

Concept explainers

Family of Curves
A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These…
XZ Plane
In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are…
Euclidean Geometry
Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) ge…
Lines and Angles
In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.
bartleby

Videos

Question
Book Icon
Chapter 3.1, Problem 42HP
To determine

To explain:

The given reason of the statement.

Expert Solution & Answer
Check Mark

Explanation of Solution

Given:

If a is consistent and dependent with b , b is inconsistent with c , c is consistent and independent with d .

Concept used:

Consistent :-In algebra a linear or non-linear system of equations is called consistent if there is atleast one set of values for the unknowns that satisfies each equation in the system.

Inconsistent :- In algebra a linear or non-linear system of equations is called consistent if there is no set of values for the unknowns that satisfies all of the equation in the system.

Calculation:

  a will always be consistent and independent with d .

Because a is consistent and dependent with b this means a,b are practically the same line which is inconsistent c

So, this mean that a and c are parallel because a,c are parallel this means they are running the same course just at different locations.

This means that a will be always consistent and independent with d because if c and a are parallel.

If d crosses c it must also cross a .

Previous
Chapter 3.1, Problem 41PPS
Next
Chapter 3.1, Problem 43HP

Chapter 3 Solutions

Algebra 2

Ch. 3.1 - Prob. 1ACYPCh. 3.1 - Prob. 1BCYPCh. 3.1 - Prob. 2ACYPCh. 3.1 - Prob. 2BCYPCh. 3.1 - Prob. 3CYPCh. 3.1 - Prob. 4ACYPCh. 3.1 - Prob. 4BCYPCh. 3.1 - Prob. 4CCYPCh. 3.1 - Prob. 4DCYPCh. 3.1 - Prob. 1CYU
Ch. 3.1 - Prob. 2CYUCh. 3.1 - Prob. 3CYUCh. 3.1 - Prob. 4CYUCh. 3.1 - Prob. 5CYUCh. 3.1 - Prob. 6CYUCh. 3.1 - Prob. 7CYUCh. 3.1 - Prob. 8CYUCh. 3.1 - Prob. 9CYUCh. 3.1 - Prob. 10CYUCh. 3.1 - Prob. 11CYUCh. 3.1 - Prob. 12CYUCh. 3.1 - Prob. 13PPSCh. 3.1 - Prob. 14PPSCh. 3.1 - Prob. 15PPSCh. 3.1 - Prob. 16PPSCh. 3.1 - Prob. 17PPSCh. 3.1 - Prob. 18PPSCh. 3.1 - Prob. 19PPSCh. 3.1 - Prob. 20PPSCh. 3.1 - Prob. 21PPSCh. 3.1 - Prob. 22PPSCh. 3.1 - Prob. 23PPSCh. 3.1 - Prob. 24PPSCh. 3.1 - Prob. 25PPSCh. 3.1 - Prob. 26PPSCh. 3.1 - Prob. 27PPSCh. 3.1 - Prob. 28PPSCh. 3.1 - Prob. 29PPSCh. 3.1 - Prob. 30PPSCh. 3.1 - Prob. 31PPSCh. 3.1 - Prob. 32PPSCh. 3.1 - Prob. 33PPSCh. 3.1 - Prob. 34PPSCh. 3.1 - Prob. 35PPSCh. 3.1 - Prob. 36PPSCh. 3.1 - Prob. 37PPSCh. 3.1 - Prob. 38PPSCh. 3.1 - Prob. 39PPSCh. 3.1 - Prob. 40PPSCh. 3.1 - Prob. 41PPSCh. 3.1 - Prob. 42HPCh. 3.1 - Prob. 43HPCh. 3.1 - Prob. 44HPCh. 3.1 - Prob. 45HPCh. 3.1 - Prob. 46HPCh. 3.1 - Prob. 47HPCh. 3.1 - Prob. 48HPCh. 3.1 - Prob. 49HPCh. 3.1 - Prob. 50HPCh. 3.1 - Prob. 51STPCh. 3.1 - Prob. 52STPCh. 3.1 - Prob. 53STPCh. 3.1 - Prob. 54STPCh. 3.1 - Prob. 55STPCh. 3.1 - Prob. 56STPCh. 3.1 - Prob. 57STPCh. 3.1 - Prob. 58STPCh. 3.1 - Prob. 59STPCh. 3.1 - Prob. 60STPCh. 3.1 - Prob. 61SCh. 3.1 - Prob. 62SCh. 3.1 - Prob. 63SCh. 3.1 - Prob. 64SCh. 3.1 - Prob. 65SCh. 3.1 - Prob. 66SCh. 3.1 - Prob. 1ECh. 3.1 - Prob. 2ECh. 3.1 - Prob. 3ECh. 3.1 - Prob. 4ECh. 3.1 - Prob. 5ECh. 3.1 - Prob. 6ECh. 3.1 - Prob. 7ECh. 3.1 - Prob. 8ECh. 3.1 - Prob. 9ECh. 3.1 - Prob. 10ECh. 3.2 - Prob. 1ACYPCh. 3.2 - Prob. 1BCYPCh. 3.2 - Prob. 1CCYPCh. 3.2 - Prob. 2ACYPCh. 3.2 - Prob. 2BCYPCh. 3.2 - Prob. 2CCYPCh. 3.2 - Prob. 3CYPCh. 3.2 - Prob. 4ACYPCh. 3.2 - Prob. 4BCYPCh. 3.2 - Prob. 1CYUCh. 3.2 - Prob. 2CYUCh. 3.2 - Prob. 3CYUCh. 3.2 - Prob. 4CYUCh. 3.2 - Prob. 5CYUCh. 3.2 - Prob. 6CYUCh. 3.2 - Prob. 7CYUCh. 3.2 - Prob. 8CYUCh. 3.2 - Prob. 9CYUCh. 3.2 - Prob. 10CYUCh. 3.2 - Prob. 11CYUCh. 3.2 - Prob. 12CYUCh. 3.2 - Prob. 13CYUCh. 3.2 - Prob. 14CYUCh. 3.2 - Prob. 15PPSCh. 3.2 - Prob. 16PPSCh. 3.2 - Prob. 17PPSCh. 3.2 - Prob. 18PPSCh. 3.2 - Prob. 19PPSCh. 3.2 - Prob. 20PPSCh. 3.2 - Prob. 21PPSCh. 3.2 - Prob. 22PPSCh. 3.2 - Prob. 23PPSCh. 3.2 - Prob. 24PPSCh. 3.2 - Prob. 25PPSCh. 3.2 - Prob. 26PPSCh. 3.2 - Prob. 27PPSCh. 3.2 - Prob. 28PPSCh. 3.2 - Prob. 29PPSCh. 3.2 - Prob. 30PPSCh. 3.2 - Prob. 31PPSCh. 3.2 - Prob. 32PPSCh. 3.2 - Prob. 33PPSCh. 3.2 - Prob. 34PPSCh. 3.2 - Prob. 35PPSCh. 3.2 - Prob. 36PPSCh. 3.2 - Prob. 37PPSCh. 3.2 - Prob. 38PPSCh. 3.2 - Prob. 39PPSCh. 3.2 - Prob. 40PPSCh. 3.2 - Prob. 41PPSCh. 3.2 - Prob. 42PPSCh. 3.2 - Prob. 43PPSCh. 3.2 - Prob. 44PPSCh. 3.2 - Prob. 45PPSCh. 3.2 - Prob. 46PPSCh. 3.2 - Prob. 47PPSCh. 3.2 - Prob. 48PPSCh. 3.2 - Prob. 49PPSCh. 3.2 - Prob. 50PPSCh. 3.2 - Prob. 51PPSCh. 3.2 - Prob. 52PPSCh. 3.2 - Prob. 53PPSCh. 3.2 - Prob. 54PPSCh. 3.2 - Prob. 55PPSCh. 3.2 - Prob. 56PPSCh. 3.2 - Prob. 57PPSCh. 3.2 - Prob. 58PPSCh. 3.2 - Prob. 59PPSCh. 3.2 - Prob. 60PPSCh. 3.2 - Prob. 61PPSCh. 3.2 - Prob. 62PPSCh. 3.2 - Prob. 63PPSCh. 3.2 - Prob. 64HPCh. 3.2 - Prob. 65HPCh. 3.2 - Prob. 66HPCh. 3.2 - Prob. 67HPCh. 3.2 - Prob. 68HPCh. 3.2 - Prob. 69HPCh. 3.2 - Prob. 70HPCh. 3.2 - Prob. 71HPCh. 3.2 - Prob. 72HPCh. 3.2 - Prob. 73STPCh. 3.2 - Prob. 74STPCh. 3.2 - Prob. 75STPCh. 3.2 - Prob. 76STPCh. 3.2 - Prob. 77STPCh. 3.2 - Prob. 78STPCh. 3.2 - Prob. 79STPCh. 3.2 - Prob. 80STPCh. 3.2 - Prob. 81SCh. 3.2 - Prob. 82SCh. 3.2 - Prob. 83SCh. 3.3 - Prob. 1ACYPCh. 3.3 - Prob. 1BCYPCh. 3.3 - Prob. 2ACYPCh. 3.3 - Prob. 2BCYPCh. 3.3 - Prob. 3CYPCh. 3.3 - Prob. 4ACYPCh. 3.3 - Prob. 4BCYPCh. 3.3 - Prob. 1CYUCh. 3.3 - Prob. 2CYUCh. 3.3 - Prob. 3CYUCh. 3.3 - Prob. 4CYUCh. 3.3 - Prob. 5CYUCh. 3.3 - Prob. 6CYUCh. 3.3 - Prob. 7PPSCh. 3.3 - Prob. 8PPSCh. 3.3 - Prob. 9PPSCh. 3.3 - Prob. 10PPSCh. 3.3 - Prob. 11PPSCh. 3.3 - Prob. 12PPSCh. 3.3 - Prob. 13PPSCh. 3.3 - Prob. 14PPSCh. 3.3 - Prob. 15PPSCh. 3.3 - Prob. 16PPSCh. 3.3 - Prob. 17PPSCh. 3.3 - Prob. 18PPSCh. 3.3 - Prob. 19PPSCh. 3.3 - Prob. 20PPSCh. 3.3 - Prob. 21PPSCh. 3.3 - Prob. 22PPSCh. 3.3 - Prob. 23PPSCh. 3.3 - Prob. 24PPSCh. 3.3 - Prob. 25PPSCh. 3.3 - Prob. 26PPSCh. 3.3 - Prob. 27PPSCh. 3.3 - Prob. 28PPSCh. 3.3 - Prob. 29PPSCh. 3.3 - Prob. 30PPSCh. 3.3 - Prob. 31PPSCh. 3.3 - Prob. 32PPSCh. 3.3 - Prob. 33PPSCh. 3.3 - Prob. 34PPSCh. 3.3 - Prob. 35PPSCh. 3.3 - Prob. 36PPSCh. 3.3 - Prob. 37PPSCh. 3.3 - Prob. 38PPSCh. 3.3 - Prob. 39PPSCh. 3.3 - Prob. 40PPSCh. 3.3 - Prob. 41PPSCh. 3.3 - Prob. 42PPSCh. 3.3 - Prob. 43PPSCh. 3.3 - Prob. 44PPSCh. 3.3 - Prob. 45HPCh. 3.3 - Prob. 46HPCh. 3.3 - Prob. 47HPCh. 3.3 - Prob. 48HPCh. 3.3 - Prob. 49HPCh. 3.3 - Prob. 50HPCh. 3.3 - Prob. 51HPCh. 3.3 - Prob. 52HPCh. 3.3 - Prob. 53HPCh. 3.3 - Prob. 54HPCh. 3.3 - Prob. 55STPCh. 3.3 - Prob. 56STPCh. 3.3 - Prob. 57STPCh. 3.3 - Prob. 58STPCh. 3.3 - Prob. 59STPCh. 3.3 - Prob. 60STPCh. 3.3 - Prob. 61STPCh. 3.3 - Prob. 62STPCh. 3.3 - Prob. 63SCh. 3.3 - Prob. 64SCh. 3.3 - Prob. 65SCh. 3.3 - Prob. 66SCh. 3.3 - Prob. 67SCh. 3.3 - Prob. 68SCh. 3.3 - Prob. 1ECh. 3.3 - Prob. 2ECh. 3.3 - Prob. 3ECh. 3.3 - Prob. 4ECh. 3.3 - Prob. 5ECh. 3.3 - Prob. 6ECh. 3.3 - Prob. 7ECh. 3.3 - Prob. 8ECh. 3.3 - Prob. 9ECh. 3.4 - Prob. 1ACYPCh. 3.4 - Prob. 1BCYPCh. 3.4 - Prob. 2ACYPCh. 3.4 - Prob. 2BCYPCh. 3.4 - Prob. 3CYPCh. 3.4 - Prob. 1CYUCh. 3.4 - Prob. 2CYUCh. 3.4 - Prob. 3CYUCh. 3.4 - Prob. 4CYUCh. 3.4 - Prob. 5CYUCh. 3.4 - Prob. 6CYUCh. 3.4 - Prob. 7CYUCh. 3.4 - Prob. 8PPSCh. 3.4 - Prob. 9PPSCh. 3.4 - Prob. 10PPSCh. 3.4 - Prob. 11PPSCh. 3.4 - Prob. 12PPSCh. 3.4 - Prob. 13PPSCh. 3.4 - Prob. 14PPSCh. 3.4 - Prob. 15PPSCh. 3.4 - Prob. 16PPSCh. 3.4 - Prob. 17PPSCh. 3.4 - Prob. 18PPSCh. 3.4 - Prob. 19PPSCh. 3.4 - Prob. 20PPSCh. 3.4 - Prob. 21PPSCh. 3.4 - Prob. 22PPSCh. 3.4 - Prob. 23PPSCh. 3.4 - Prob. 24PPSCh. 3.4 - Prob. 25PPSCh. 3.4 - Prob. 26PPSCh. 3.4 - Prob. 27PPSCh. 3.4 - Prob. 28PPSCh. 3.4 - Prob. 29PPSCh. 3.4 - Prob. 30HPCh. 3.4 - Prob. 31HPCh. 3.4 - Prob. 32HPCh. 3.4 - Prob. 33HPCh. 3.4 - Prob. 34HPCh. 3.4 - Prob. 35HPCh. 3.4 - Prob. 36HPCh. 3.4 - Prob. 37HPCh. 3.4 - Prob. 38STPCh. 3.4 - Prob. 39STPCh. 3.4 - Prob. 40STPCh. 3.4 - Prob. 41STPCh. 3.4 - Prob. 42STPCh. 3.4 - Prob. 43STPCh. 3.4 - Prob. 44STPCh. 3.4 - Prob. 45STPCh. 3.4 - Prob. 46STPCh. 3.4 - Prob. 47STPCh. 3.4 - Prob. 48STPCh. 3.4 - Prob. 49STPCh. 3.4 - Prob. 50SCh. 3.4 - Prob. 51SCh. 3.4 - Prob. 52SCh. 3.4 - Prob. 53SCh. 3.4 - Prob. 54SCh. 3.4 - Prob. 55SCh. 3.5 - Prob. 1ACYPCh. 3.5 - Prob. 1BCYPCh. 3.5 - Prob. 2ACYPCh. 3.5 - Prob. 2BCYPCh. 3.5 - Prob. 3CYPCh. 3.5 - Prob. 1CYUCh. 3.5 - Prob. 2CYUCh. 3.5 - Prob. 3CYUCh. 3.5 - Prob. 4CYUCh. 3.5 - Prob. 5CYUCh. 3.5 - Prob. 6CYUCh. 3.5 - Prob. 7CYUCh. 3.5 - Prob. 8PPSCh. 3.5 - Prob. 9PPSCh. 3.5 - Prob. 10PPSCh. 3.5 - Prob. 11PPSCh. 3.5 - Prob. 12PPSCh. 3.5 - Prob. 13PPSCh. 3.5 - Prob. 14PPSCh. 3.5 - Prob. 15PPSCh. 3.5 - Prob. 16PPSCh. 3.5 - Prob. 17PPSCh. 3.5 - Prob. 18PPSCh. 3.5 - Prob. 19PPSCh. 3.5 - Prob. 20PPSCh. 3.5 - Prob. 21PPSCh. 3.5 - Prob. 22PPSCh. 3.5 - Prob. 23PPSCh. 3.5 - Prob. 24HPCh. 3.5 - Prob. 25HPCh. 3.5 - Prob. 26HPCh. 3.5 - Prob. 27HPCh. 3.5 - Prob. 28HPCh. 3.5 - Prob. 29HPCh. 3.5 - Prob. 30HPCh. 3.5 - Prob. 31HPCh. 3.5 - Prob. 32HPCh. 3.5 - Prob. 33HPCh. 3.5 - Prob. 34STPCh. 3.5 - Prob. 35STPCh. 3.5 - Prob. 36STPCh. 3.5 - Prob. 37STPCh. 3.5 - Prob. 38STPCh. 3.5 - Prob. 39SCh. 3.5 - Prob. 40SCh. 3.5 - Prob. 41SCh. 3.5 - Prob. 42SCh. 3 - Prob. 1QCCh. 3 - Prob. 2QCCh. 3 - Prob. 3QCCh. 3 - Prob. 4QCCh. 3 - Prob. 5QCCh. 3 - Prob. 6QCCh. 3 - Prob. 7QCCh. 3 - Prob. 8QCCh. 3 - Prob. 9QCCh. 3 - Prob. 10QCCh. 3 - Prob. 11QCCh. 3 - Prob. 12QCCh. 3 - Prob. 13QCCh. 3 - Prob. 14QCCh. 3 - Prob. 1MCQCh. 3 - Prob. 2MCQCh. 3 - Prob. 3MCQCh. 3 - Prob. 4MCQCh. 3 - Prob. 5MCQCh. 3 - Prob. 6MCQCh. 3 - Prob. 7MCQCh. 3 - Prob. 8MCQCh. 3 - Prob. 9MCQCh. 3 - Prob. 10MCQCh. 3 - Prob. 11MCQCh. 3 - Prob. 12MCQCh. 3 - Prob. 13MCQCh. 3 - Prob. 14MCQCh. 3 - Prob. 15MCQCh. 3 - Prob. 16MCQCh. 3 - Prob. 17MCQCh. 3 - Prob. 18MCQCh. 3 - Prob. 19MCQCh. 3 - Prob. 20MCQCh. 3 - Prob. 21MCQCh. 3 - Prob. 22MCQCh. 3 - Prob. 1SGRCh. 3 - Prob. 2SGRCh. 3 - Prob. 3SGRCh. 3 - Prob. 4SGRCh. 3 - Prob. 5SGRCh. 3 - Prob. 6SGRCh. 3 - Prob. 7SGRCh. 3 - Prob. 8SGRCh. 3 - Prob. 9SGRCh. 3 - Prob. 10SGRCh. 3 - Prob. 11SGRCh. 3 - Prob. 12SGRCh. 3 - Prob. 13SGRCh. 3 - Prob. 14SGRCh. 3 - Prob. 15SGRCh. 3 - Prob. 16SGRCh. 3 - Prob. 17SGRCh. 3 - Prob. 18SGRCh. 3 - Prob. 19SGRCh. 3 - Prob. 20SGRCh. 3 - Prob. 21SGRCh. 3 - Prob. 22SGRCh. 3 - Prob. 23SGRCh. 3 - Prob. 24SGRCh. 3 - Prob. 25SGRCh. 3 - Prob. 26SGRCh. 3 - Prob. 27SGRCh. 3 - Prob. 28SGRCh. 3 - Prob. 29SGRCh. 3 - Prob. 30SGRCh. 3 - Prob. 1PTCh. 3 - Prob. 2PTCh. 3 - Prob. 3PTCh. 3 - Prob. 4PTCh. 3 - Prob. 5PTCh. 3 - Prob. 6PTCh. 3 - Prob. 7PTCh. 3 - Prob. 8PTCh. 3 - Prob. 9PTCh. 3 - Prob. 10PTCh. 3 - Prob. 11PTCh. 3 - Prob. 12PTCh. 3 - Prob. 13PTCh. 3 - Prob. 14PTCh. 3 - Prob. 15PTCh. 3 - Prob. 16PTCh. 3 - Prob. 17PTCh. 3 - Prob. 18PTCh. 3 - Prob. 19PTCh. 3 - Prob. 1ECh. 3 - Prob. 2ECh. 3 - Prob. 3ECh. 3 - Prob. 4ECh. 3 - Prob. 1STPCh. 3 - Prob. 2STPCh. 3 - Prob. 3STPCh. 3 - Prob. 4STPCh. 3 - Prob. 5STPCh. 3 - Prob. 6STPCh. 3 - Prob. 7STPCh. 3 - Prob. 8STPCh. 3 - Prob. 9STPCh. 3 - Prob. 10STPCh. 3 - Prob. 11STPCh. 3 - Prob. 12STPCh. 3 - Prob. 13STP

Additional Math Textbook Solutions

Find more solutions based on key concepts
ALGEBRAIC For the following exercises, solve for the variable. 50y8

College Algebra

In Exercises 3-6, with T defined by T(x) = Ax, find a vector x whose image under T is b, and determine whether ...

Linear Algebra and Its Applications (5th Edition)

Fill in each blanks so that the resulting statement is true. Any set of ordered pairs is called a/an _______. T...

College Algebra

Fill in each blanks so that the resulting statement is true. Any set of ordered pairs is called a/an _______. T...

College Algebra (7th Edition)

Solve t210t=11 by completing the square.

Elementary Algebra

TRY IT :: 6.20 Convert each decimal to a percent: (a) 2.25 (b) 0.0925

PREALGEBRA

Knowledge Booster
Background pattern image
Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Text book image
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:PEARSON
Text book image
Contemporary Abstract Algebra
Algebra
ISBN:9781305657960
Author:Joseph Gallian
Publisher:Cengage Learning
Text book image
Linear Algebra: A Modern Introduction
Algebra
ISBN:9781285463247
Author:David Poole
Publisher:Cengage Learning
Text book image
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:9780135163078
Author:Michael Sullivan
Publisher:PEARSON
Text book image
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:9780980232776
Author:Gilbert Strang
Publisher:Wellesley-Cambridge Press
Text book image
College Algebra (Collegiate Math)
Algebra
ISBN:9780077836344
Author:Julie Miller, Donna Gerken
Publisher:McGraw-Hill Education
SEE MORE TEXTBOOKS
Points, Lines, Planes, Segments, & Rays - Collinear vs Coplanar Points - Geometry; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=dDWjhRfBsKM;License: Standard YouTube License, CC-BY
Naming Points, Lines, and Planes; Author: Florida PASS Program;https://www.youtube.com/watch?v=F-LxiLSSaLg;License: Standard YouTube License, CC-BY