Chapter 13 Section 13.1 Rectangular Space Coordinates.

Slides:



Advertisements
Similar presentations
Start with your equation Move the # term to the other side, and leave a space Determine what HALF of the coefficient of X is Factor the left side Write.
Advertisements

Linear Inequalities in 2 Variables
4.7 Graphing Lines Using Slope Intercept Form
Section 16.5 Local Extreme Values
How to find intersection of lines? Snehal Poojary.
Solving Equations = 4x – 5(6x – 10) -132 = 4x – 30x = -26x = -26x 7 = x.
Converting Between Rectangular and Polar Coordinates Sometimes we want to change from rectangular coordinates to polar coordinates, and from polar coordinates.

Taking a Square Root to Solve an Equation. Solve: In order to solve for x, you have to UNDO the squared first (i.e. square root) What are the number(s)
Lines and Planes in Space
MAT 171 Precalculus Algebra Section 9-7 Parametric Equations Cape Fear Community College Dr. Claude S. Moore.
3.5 – Solving Systems of Equations in Three Variables.
7.5 Graphs Radical Functions
Lesson 10-5 Warm-Up.
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec
Chapter 2 Section 2.4 Lines and Planes in Space. x y z.
PARAMETRIC Q U A T I 0 N S Section 1.5 Day 2. Parametric Equations Example: The “parameter’’ is t. It does not appear in the graph of the curve!
Solving Polynomial Equations – Factoring Method A special property is needed to solve polynomial equations by the method of factoring. If a ∙ b = 0 then.
Table of Contents A Quadratic Equation is an equation that can be written in the form Solving Quadratic Equations – Factoring Method Solving quadratic.
A Quadratic Equation is an equation that can be written in the form Solving Quadratic Equations – Factoring Method Solving quadratic equations by the factoring.
Quadratic Relations Solving Quadratic Equations Day 2: Solve by Isolating the Variable Saturday, June 04, 20161Day 2 - Solve by Isolating the Variable.
7-1 Graphing Systems of Equations SWBAT: 1) Solve systems of linear equations by graphing 2) Determine whether a system of linear equations is consistent.
3.1 Solving equations by Graphing System of equations Consistent vs. Inconsistent Independent vs. Dependent.
Section 2.4 – Circles Circle – a set of points in a plane that are equidistant from a fixed point.
Section 3.4 The Slope Intercept Form of a Linear Equation
Chapter 1 Graphing. § 1.1 Reading Graphs and the Rectangular Coordinate System.
Taking the n th Root to Solve Equations Chapter 7.1.
Solving Systems of Equations by Graphing
Chapter 2 Section 8. Standardized Test Practice EXAMPLE 1 SOLUTION Ordered pairSubstituteConclusion (6, –3) (6, –3) is not a solution (0, 2) is not.
Systems of Equations Solving by Graphing Systems of Equations One way to solve equations that involve two different variables is by graphing the lines.
3-1 © 2011 Pearson Prentice Hall. All rights reserved Chapter 8 Rational Exponents, Radicals, and Complex Numbers Active Learning Questions.
Chapter 4: Systems of Equations and Inequalities Section 4.3: Solving Linear Systems Using Graphs.
Chapter 4: Systems of Equations and Inequalities Section 4.7: Solving Linear Systems of Inequalities.
Chapter 3 Section 3.7 Graphing Linear Inequalities.
Chapter 8 Systems of Linear Equations in Two Variables Section 8.3.
Chapter 3: Functions and Graphs Section 3.1: The Coordinate Plane & Section 3.2: Relations and Functions.
VOCABULARY CHECK Prerequisite Skills 1. Draw a coordinate plane and label the x -axis, y - axis, origin, and Quadrant III. 2. In the inequality x ≥ 8,
A radical equation is an equation that contains a radical. BACK.

Chapter 3 – Linear Systems 3-1 Solving Systems Using Tables and Graphs.
Solving Systems of Linear Equations in 2 Variables Section 4.1.
Equations with Variables on Both Sides Chapter 3 Section 3.
Warm-Up: Solve and Graph  1.  2.. CHAPTER 6 SECTION 4 Solving Absolute-Value Equations and Inequalities.
Solve x 2 + bx + c = 0 by Factoring Chapter 4 Section 3.
Parametric Equations Until now, we’ve been using x and y as variables. With parametric equations, they now become FUNCTIONS of a variable t.
Graphing in 3-D Graphing in 3-D means that we need 3 coordinates to define a point (x,y,z) These are the coordinate planes, and they divide space into.
Chapter 3 Linear Systems Review
Midsegment Theorem and Coordinate Proofs
The Square Root Principle & Completing the Square
Chapter 12 Section 1.
Parametric Equations and Polar Coordinates
Solving Systems of Linear Equations and Inequalities
Solving Systems of Linear Equations in Three Variables
1.2 Introduction to Graphing Equations
Warm - Up Graph each equations on its own coordinate plane.
Section 2 – Solving Systems of Equations in Three Variables
Systems of Equations Solving by Graphing.
By the end of Week 3: You would learn how to solve many problems involving lines/planes and manipulate with different coordinate systems. These are.
Solving Radical Equations
Algebra: Graphs, Functions, and Linear Systems
Chapter 3 Section 4.
Section 6.3 Parametric Equations
Solving Percent Problem with Equations
Another method for solving systems of linear equations
Parallel Lines in Coordinate Plane
Systems of Equations Solving by Graphing.
Linear Equations and Vectors
Possible Intersection of Straight Lines
Solving a System of Linear Equations
Chapter 5 Review.
Presentation transcript:

Chapter 13 Section 13.1 Rectangular Space Coordinates

x y z M x y z

C r Since we solved the equation of the sphere for y and took the negative root this is the left half of a sphere. (Sometimes called a hemisphere)

x y z x y z x y z Changing what values that x, y and z are being set equal gives a plane that is parallel to one of the coordinate planes x y z x y z x y z Lines in 3 Dimensions A line in 3 dimensions is described using 3 equations each giving the x, y and z coordinates on the line with an independent variable called a parameter.