/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 3 For Exercises \(2-6,\) answer tr... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 9: Problem 3

For Exercises \(2-6,\) answer true or false. The point \((0,19)\) is on the \(x\) -axis.

Short Answer

Expert verified
False

Step by step solution

01

Understanding the x-axis

In a coordinate plane, the x-axis is the horizontal axis. All points on the x-axis have a y-coordinate of 0.
02

Identifying the coordinates

The given point is (0,19). Here, the x-coordinate is 0 and the y-coordinate is 19.
03

Verifying the y-coordinate

To determine if the point is on the x-axis, check the y-coordinate of the point. If the y-coordinate is 0, then the point is on the x-axis.
04

Conclusion

Since the y-coordinate of the point (0,19) is 19 and not 0, the point is not on the x-axis.

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.

Over 30 million students worldwide already upgrade their learning with 91影视!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

x-axis
The coordinate plane consists of two axes: the x-axis and the y-axis. The x-axis is the horizontal line that runs from left to right across the plane. Points on the x-axis have a special characteristic: their y-coordinate is always 0.
For example, the point (3, 0) lies on the x-axis because its y-coordinate is 0. Similarly, (-2, 0) is also on the x-axis.
  • Remember: If a point is on the x-axis, its y-coordinate must be 0.
In the exercise given, the point (0, 19) does not have a y-coordinate of 0, so it is not located on the x-axis.
y-coordinate
The y-coordinate tells us how far up or down a point is on the coordinate plane. In an ordered pair (x, y), the y-coordinate is the second number. For instance, in the point (4, 5), the number 5 is the y-coordinate. It means this point is 5 units above the x-axis.
If a point has a y-coordinate of 0, it means it is directly on the x-axis. Conversely, any non-zero y-coordinate indicates that the point is either above or below the x-axis depending on the sign of the y-coordinate.
  • Positive y-coordinates: Points above the x-axis
  • Negative y-coordinates: Points below the x-axis
For the point (0, 19), the y-coordinate is 19, so it is above the x-axis.
points on a graph
Points on a graph are defined by ordered pairs (x, y). The first number is the x-coordinate, and the second number is the y-coordinate. These coordinates tell us the exact position of the point on the coordinate plane.
To plot a point, you start at the origin (0,0), where the x-axis and y-axis intersect. Move horizontally to the x-coordinate and then vertically to the y-coordinate.
  • For example, to plot the point (3, 2):
    • Start at (0,0).
    • Move 3 units to the right (since x = 3).
    • Move 2 units up (since y = 2).
The point (0, 19) means starting at (0,0), then moving 19 units up because the y-coordinate is 19 while the x-coordinate is 0, so there is no horizontal movement. This point is thus located directly above the origin and is not on the x-axis.

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

From the frequency distribution, determine the total number of data. $$\begin{array}{c|c} \hline \text { Class Intervals } & \text { Frequency } \\ \hline 1-4 & 14 \\ \hline 5-8 & 18 \\ \hline 9-12 & 24 \\ \hline 13-16 & 10 \\ \hline 17-20 & 6 \\ \hline \end{array}$$

Define the key terms. a. Experiment b. Sample space c. Event d. Probability of an event e. Complement of an event

Use a protractor to construct an angle of the given measure. $$300^{\circ}$$

$$y=-3$$

Refer to the table. The table gives the average ages (in years) for U.S. women and men married for the first time for selected years. $$\begin{array}{l|l|c} & \text { Men } & \text { Women } \\ \hline 1940 & 24.3 & 21.5 \\ \hline 1960 & 22.8 & 20.3 \\ \hline 1980 & 24.7 & 22.0 \\ \hline 2000 & 26.8 & 25.1 \\ \hline \end{array}$$ What is the difference between the men's and women's average age at first marriage in \(1940 ?\)
See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Geometry

Read Explanation

Statistics

Read Explanation

Mechanics Maths

Read Explanation

Pure 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.