Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 13: Problem 4

\((a, 6)\) is a point (not shown) in Quadrant I. \((-6, b)\) is a point (not shown) in Quadrant II. $$\begin{array}{cc}\text { Quantity } \mathbf{A} & \text { Quantity } \mathbf{B} \\ a & b \end{array}$$ a. Quantity A is greater. b. Quantity B is greater. c. The two quantities are equal. d. The relationship cannot be determined from the information given.

Short Answer

Expert verified
The correct answer is (a). Quantity A is greater.

Step by step solution

01

Understand the Position

In Quadrant I, both x and y coordinates are positive. Therefore 'a' is positive. Now, analyze the position of the point in Quadrant II. In Quadrant II, the x-coordinate is negative and the y-coordinate is positive. Therefore 'b' would be negative.
02

Compare the coordinates

Compare the quantities 'a' and 'b'. By the sign rule, any positive number is always greater than any negative number. That means 'a' is greater than 'b'.
03

Match the options

Now, compare the findings with the options given in the question. Quantity A is greater.

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

For the final exam in a scuba diving certification course, Karl navigates from one point in a lake to another. Karl begins the test \(x\) meters directly beneath the boat and swims straight down toward the bottom of the lake for 8 meters. He then turns to his right and swims in a straight line parallel to the surface of the lake and swims 24 meters, at which point he swims directly from his location, in a straight line, back to the boat. If the distance that Karl swims back to the boat is 26 meters, what is the value of \(x ?\)

Triangle \(A B C\) is contained within a circle with center \(C\). Points \(A\) and \(B\) lie on the circle. If the area of circle \(C\) is \(25 \pi,\) and the measure of angle \(A C B\) is \(60^{\circ},\) which of the following are possible lengths for side \(A B\) of triangle \(A B C ?\) Indicate all such lengths. a. 3 b. 4 c. 5 d. 6 e. 7

$$\begin{array}{cc}\text { Quantity } \mathbf{A} & \text { Quantity } \mathbf{B} \\ \text {The circumference of a circular region with radius \(r\)} & \text {The perimeter of a square with side \(r\) }\end{array}$$ a. Quantity A is greater. b. Quantity B is greater. c. The two quantities are equal. d. The relationship cannot be determined from the information given.

A piece of twine with length of \(t\) is cut into two pieces. The length of the longer piece is 2 yards greater than 3 times the length of the shorter piece. Which of the following is the length, in yards, of the longer piece? a. $$\frac{t+3}{3}$$ b. $$\frac{3 t+2}{3}$$ c. $$\frac{t-2}{4}$$ d. $$\frac{3 t+4}{4}$$ e. $$\frac{3 t+2}{4}$$

Which of the following could be the degree measures of two angles in a right triangle? Indicate all such angles. A. \(20^{\circ}\) and \(70^{\circ}\) B. \(30^{\circ}\) and \(60^{\circ}\) C. \(45^{\circ}\) and \(45^{\circ}\) D. \(55^{\circ}\) and \(55^{\circ}\) E. \(75^{\circ}\) and \(75^{\circ}\)
See all solutions

Recommended explanations on English Textbooks

5 Paragraph Essay

Read Explanation

Phonetics

Read Explanation

Free Response Essay

Read Explanation

Lexis and Semantics

Read Explanation

Research and Composition

Read Explanation

Essay Plan

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