Understanding the Rectangular Coordinate System: Basics and Applications

Feb 03, 2026

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This section explores the rectangular coordinate system, also known as the Cartesian coordinate system. It details how points are represented using ordered pairs (x, y) on a two-dimensional plane, and explains the significance of the x-axis and y-axis. The origin (0,0) is highlighted as the reference point for all coordinates. The section emphasizes the use of this system in various fields such as mathematics, physics, and engineering, providing a foundational understanding for graphing linear equations and spatial reasoning.

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Understanding the Rectangular Coordinate System: Basics and Applications

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Section 2.1

Section 2.1. Important definitions in the text :. The definition of random variable and space of a random variable. Definition 2.1-1. The definition of probability mass function (p.m.f.) for a random variable. Definition 2.1-2.

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Section 2.1

Math in Our World. Section 2.1. The Nature of Sets. Learning Objectives. Define set. Write sets in three different ways. Classify sets as finite or infinite. Define the empty set. Find the cardinality of a set. Decide if two sets are equal or equivalent. Sets.

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Section 2.1

Section 2.1. MODELING VIA SYSTEMS. A tale of rabbits and foxes. Suppose you have two populations: rabbits and foxes. R(t) represents the population of rabbits at time t. F(t) represents the population of foxes at time t . What happens to the rabbits if there are no foxes?

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Section 2.1

Section 2.1. Operations With Numbers. Number Sets. Natural numbers -> 1, 2, 3, … Whole numbers -> 0, 1, 2, 3, … Integers -> …, -3, -2, -1, 0, 1, 2, 3, … Rational numbers -> (p/q), where p and q are integers and q ≠ 0.

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Rectangular Coordinate System

Rectangular Coordinate System. In pre-algebra, we used number lines to plot numbers and equations and inequalities of 1 variable (x = -3, x < 4 => one-dimensional). -5. -4. -3. -2. -1. 1. 2. 3. 4. 5. 0.

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Section 2.1

Section 2.1. Air pressure a. Is the force exerted by moving air molecules b. Measures the speed of wind. c. Only pushes on objects in one direction. d. Is the same as density. Section 2.1. Air pressure increases a s density decreases b. as you move higher in the atmosphere

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Section 2.1

Section 2.1. Polynomials. Polynomials. Polynomials- in terms of x is an expression that can be written in the form: USUALLY WRITE POLYNOMIALS IN DECENDING ORDER! Example:. Polynomials. Leading Term: The term containing the highest power of x

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Section 2.1

Section 2.1. Section 2.1. Average velocity is just an algebra 1 slope between two points on the position function. Algebra 1 Review!. Remember slope from Algebra 1?. Function Notation.

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3.1 Linear Equations in Two Variables; The Rectangular Coordinate System

3.1 Linear Equations in Two Variables; The Rectangular Coordinate System. Objective 1 . Interpret graphs. Slide 3.1-3. Interpret graphs.

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3.2 Affine Coordinate System and Rectangular Coordinates System

3.2 Affine Coordinate System and Rectangular Coordinates System. Rene Descartes. I. Affine coordinate system. Lemma 3.1 Fetch a vector that not equal to zero in a line, then for every vector in the line, there exists an

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Section 2.1

Section 2.1. Frequency Distributions and Their Graphs. Larson/Farber 4th ed. Section 2.1 Objectives. Construct frequency distributions Construct frequency histograms, frequency polygons, relative frequency histograms, and ogives. Larson/Farber 4th ed. Class width 6 – 1 = 5. Lower class

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CHAPTER 2 COORDINATE SYSTEMS 2.1 Geographic Coordinate System 2.1.1 Approximation of the Earth

CHAPTER 2 COORDINATE SYSTEMS 2.1 Geographic Coordinate System 2.1.1 Approximation of the Earth 2.1.2 Datum Box 2.1 Conversion between Datums 2.2 Map Projections Box 2.2 How to Measure Distances on the Earth’s Surface 2.2.1 Types of Map Projections 2.2.2 Map Projection Parameters

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2.1 Coordinate Plane

2.1 Coordinate Plane. Ordered pairs of numbers form a two-dimensional region x-axis: horizontal line y-axis: vertical line Axes intersect at origin O (0,0) and divide plane into 4 parts. y. x. Distance Formula. y. A. d. v. B. h. x. Point A has coordinates: Point B has coordinates:.

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Section 2.1

Section 2.1. Preliminary Theory. INITIAL-VALUE PROBLEM. Most first-order DEs can be written in the form When asked to solve (i) given the side condition that y ( x 0 ) = y 0 (ii),

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3.1 Linear Equations in Two Variables; The Rectangular Coordinate System

3.1 Linear Equations in Two Variables; The Rectangular Coordinate System. Objective 1. Interpret graphs. Slide 3.1-3. Interpret graphs.

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Section 2.1

Section 2.1. Cartesian Plane, Distance, and Midpoint. The distance between two points can be found by using the distance formula with the endpoints and. Find the distance between the points (2,1) and (4,5). Find the distance between (2, -1) and (-3, -6).

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Section 2.1

Section 2.1. Frequency Distributions. Objectives. Construct a frequency distribution. Frequency Distributions. A distribution is a way to describe the structure of a particular data set or population.

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Rectangular Hollow Section

Sevantilal & Sons Pvt. Ltd. is an organization well known for its expertise in the field of Steel Pipes & Tubes over past 5 decades managed by Mr. Naresh Maniar & Mr. Arpan Maniar

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Section 2.1

Section 2.1. Frequency Distributions and Their Graphs. Some Needed Definitions & Notation. “ n ”  sample size (number of values in a sample, an integer) “ range ”  a measure of width/spread of a data set range = maximum value in set – minimum value in set

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Section 2.1

Math in Our World. Section 2.1. The Nature of Sets. Learning Objectives. Define set. Write sets in two different ways. Classify sets as finite or infinite. Define the empty set. Find the cardinality of a set. Decide if two sets are equal or equivalent. Sets.

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Section 2.1

Section 2.1 . Using Segments and Congruence Midpoint Formula. Objectives – What we’ll learn…. Apply the properties of real numbers to the measure of segments. A. B. D. C. Segments. Where is B located? Between A and C Where is D located? Not between A and C.

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Section 2.1

Section 2.1. Frequency Distributions, Histograms, and Related Topics. Frequency Tables. For quantitative data, these tables organize data into smaller intervals or classes display how many data values fall into each class. Steps.

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