The document discusses ordered pairs and their use in graphing points on a coordinate plane. It explains that an ordered pair consists of an x-coordinate and y-coordinate, separated by a comma. The x-axis and y-axis intersect at the origin (0,0) and divide the plane into four quadrants, labeled I, II, III, and IV. Points in the plane are located based on their ordered pair coordinates and quadrant.
This is a Question Papers of Mumbai University for B.Sc.IT Student of Semester - III [Logic, Discrete Mathematical Structures] (Old Course). [Year - January / 2014] . . .Solution Set of this Paper is Coming soon...
This is a Question Papers of Mumbai University for B.Sc.IT Student of Semester - III [Logic, Discrete Mathematical Structures] (Old Course). [Year - January / 2014] . . .Solution Set of this Paper is Coming soon...
Mathematics (from Greek μάθημα máthēma, “knowledge, study, learning”) is the study of topics such as quantity (numbers), structure, space, and change. There is a range of views among mathematicians and philosophers as to the exact scope and definition of mathematics
It is easy to plot a real number in a number line. For example, number 3 is plotted here, and number -2 is plotted on the left side of zero.
we also can plot a two-dimensional number like 2x+3y in an XY plane which is called cartesian coordinate system. By going 3units in the x-axis and 2 units in the y-axis we get the point (2,3) now look at the complex number 5+4i, this number has a real part 5 and an imaginary part 4. now what if we want this point to plot?
It was Jean-Robert Argand who solved the problem and invented an argan plane, which is also called a complex plane. He assumed the x-axis as the real axis and the y-axis as the imaginary axis. so the graphical representation of point 5+4i can be plotted.
so I guess u all are now clear abt what is argand diagram.
yes, graphical representation of a complex number is called argand diagram where the x-axis is the real axis and the y-axis is the imaginary axis.
let z= x+iy where x is the real part and iy is the imaginary part. Point A is the graphical representation of Z. we will be able to understand it more clearly by these examples. A is 3+4i n its representation is shown in the diagram! also, any real number can be shown by argand diagram
real number means the coefficient of i is 0.
the polar form of a complex number can also be shown by the argand diagram. before talking about the polar number, we have to know about two terms. 1 is modulus. The modulus of a complex number is just the magnitude of the vector z since |z| is a length it does not include i. The argument of a complex number written as arg(z), is the angle the vector makes with the positive real axis.
uses: graphical addition and subtraction,
multiplication, representation.
Program to create a cylinder and Parallelepiped by extruding Circle and Quadrilateral respectively. Allow the user to specify the circle and quadrilateral.
Similar to Plotting points in rectangular coordinate system (20)
We all have good and bad thoughts from time to time and situation to situation. We are bombarded daily with spiraling thoughts(both negative and positive) creating all-consuming feel , making us difficult to manage with associated suffering. Good thoughts are like our Mob Signal (Positive thought) amidst noise(negative thought) in the atmosphere. Negative thoughts like noise outweigh positive thoughts. These thoughts often create unwanted confusion, trouble, stress and frustration in our mind as well as chaos in our physical world. Negative thoughts are also known as “distorted thinking”.
The Art Pastor's Guide to Sabbath | Steve ThomasonSteve Thomason
What is the purpose of the Sabbath Law in the Torah. It is interesting to compare how the context of the law shifts from Exodus to Deuteronomy. Who gets to rest, and why?
Read| The latest issue of The Challenger is here! We are thrilled to announce that our school paper has qualified for the NATIONAL SCHOOLS PRESS CONFERENCE (NSPC) 2024. Thank you for your unwavering support and trust. Dive into the stories that made us stand out!
How to Make a Field invisible in Odoo 17Celine George
It is possible to hide or invisible some fields in odoo. Commonly using “invisible” attribute in the field definition to invisible the fields. This slide will show how to make a field invisible in odoo 17.
2024.06.01 Introducing a competency framework for languag learning materials ...Sandy Millin
http://sandymillin.wordpress.com/iateflwebinar2024
Published classroom materials form the basis of syllabuses, drive teacher professional development, and have a potentially huge influence on learners, teachers and education systems. All teachers also create their own materials, whether a few sentences on a blackboard, a highly-structured fully-realised online course, or anything in between. Despite this, the knowledge and skills needed to create effective language learning materials are rarely part of teacher training, and are mostly learnt by trial and error.
Knowledge and skills frameworks, generally called competency frameworks, for ELT teachers, trainers and managers have existed for a few years now. However, until I created one for my MA dissertation, there wasn’t one drawing together what we need to know and do to be able to effectively produce language learning materials.
This webinar will introduce you to my framework, highlighting the key competencies I identified from my research. It will also show how anybody involved in language teaching (any language, not just English!), teacher training, managing schools or developing language learning materials can benefit from using the framework.
Unit 8 - Information and Communication Technology (Paper I).pdfThiyagu K
This slides describes the basic concepts of ICT, basics of Email, Emerging Technology and Digital Initiatives in Education. This presentations aligns with the UGC Paper I syllabus.
This is a presentation by Dada Robert in a Your Skill Boost masterclass organised by the Excellence Foundation for South Sudan (EFSS) on Saturday, the 25th and Sunday, the 26th of May 2024.
He discussed the concept of quality improvement, emphasizing its applicability to various aspects of life, including personal, project, and program improvements. He defined quality as doing the right thing at the right time in the right way to achieve the best possible results and discussed the concept of the "gap" between what we know and what we do, and how this gap represents the areas we need to improve. He explained the scientific approach to quality improvement, which involves systematic performance analysis, testing and learning, and implementing change ideas. He also highlighted the importance of client focus and a team approach to quality improvement.
The French Revolution, which began in 1789, was a period of radical social and political upheaval in France. It marked the decline of absolute monarchies, the rise of secular and democratic republics, and the eventual rise of Napoleon Bonaparte. This revolutionary period is crucial in understanding the transition from feudalism to modernity in Europe.
For more information, visit-www.vavaclasses.com
Synthetic Fiber Construction in lab .pptxPavel ( NSTU)
Synthetic fiber production is a fascinating and complex field that blends chemistry, engineering, and environmental science. By understanding these aspects, students can gain a comprehensive view of synthetic fiber production, its impact on society and the environment, and the potential for future innovations. Synthetic fibers play a crucial role in modern society, impacting various aspects of daily life, industry, and the environment. ynthetic fibers are integral to modern life, offering a range of benefits from cost-effectiveness and versatility to innovative applications and performance characteristics. While they pose environmental challenges, ongoing research and development aim to create more sustainable and eco-friendly alternatives. Understanding the importance of synthetic fibers helps in appreciating their role in the economy, industry, and daily life, while also emphasizing the need for sustainable practices and innovation.
Students, digital devices and success - Andreas Schleicher - 27 May 2024..pptxEduSkills OECD
Andreas Schleicher presents at the OECD webinar ‘Digital devices in schools: detrimental distraction or secret to success?’ on 27 May 2024. The presentation was based on findings from PISA 2022 results and the webinar helped launch the PISA in Focus ‘Managing screen time: How to protect and equip students against distraction’ https://www.oecd-ilibrary.org/education/managing-screen-time_7c225af4-en and the OECD Education Policy Perspective ‘Students, digital devices and success’ can be found here - https://oe.cd/il/5yV
Operation “Blue Star” is the only event in the history of Independent India where the state went into war with its own people. Even after about 40 years it is not clear if it was culmination of states anger over people of the region, a political game of power or start of dictatorial chapter in the democratic setup.
The people of Punjab felt alienated from main stream due to denial of their just demands during a long democratic struggle since independence. As it happen all over the word, it led to militant struggle with great loss of lives of military, police and civilian personnel. Killing of Indira Gandhi and massacre of innocent Sikhs in Delhi and other India cities was also associated with this movement.
Instructions for Submissions thorugh G- Classroom.pptxJheel Barad
This presentation provides a briefing on how to upload submissions and documents in Google Classroom. It was prepared as part of an orientation for new Sainik School in-service teacher trainees. As a training officer, my goal is to ensure that you are comfortable and proficient with this essential tool for managing assignments and fostering student engagement.
2. Ordered pairs are used to locate
points in a coordinate plane.
x-axis (horizontal
axis)
origin (0,0)
y-axis (vertical axis)
5
5
-5
-5
3. In an ordered pair, the first number is
the x-coordinate. The second number
is the y-coordinate.
Graph. (-3, 2)
•
5
5
-5
-5
4. The x-axis and y-axis separate the
coordinate plane into four
regions, called quadrants.
II
(-, +)
I
(+, +)
IV
(+, -)
III
(-, -)
5. Origin (0,0)
(3,-2)
(-4,0)
Quandrant IV
(+, - )
Quandrant III
(-, - )
Quandrant II
(-, + )
Quandrant I
(+, + )
Origin (0,0)
(3,-2)
(-4,0)
Quandrant IV
(+, - )
Quandrant III
(-, - )
Quandrant II
(-, + )
Quandrant I
(+, + )
6. 1. I
2. II
3. III
4. IV
5. None – x-axis
6. None – y-axis
7. 1. I
2. II
3. III
4. IV
5. None – x-axis
6. None – y-axis
8. 1. I
2. II
3. III
4. IV
5. None – x-axis
6. None – y-axis
9. Example 1: Give the coordinates of the point.
J
I
H
G
F
E
D
C
BA
(-4,3) (0,3)
(1,4)
(1,0)
(5,1)
(3,-4)
(0,-3)
(-4,-4)
(-3,0) (0,0)
10. Example 2: Plot the point in a coordinate plane.
Describe the location of the point.
a) A(-4,9) b) B(5,0) c) C(0,-8) d) D(7, -2)
A(-4,9)
B(5,0)
C(0,-8)
D(7,-2)
11. x y = ½x + 1 y
-4 y = ½(-4) + 1
-2 y = ½(-2) + 1
0 y = ½(0) + 1
2 y = ½(2) + 1
4 y = ½(4) + 1
Example 3: Graph the function y = ½x + 1 with the
following values of x: -4, -2, 0, 2, and 4.
Step 1: Make a table
x y = ½x + 1 y
-4 y = ½(-4) + 1
-2 y = ½(-2) + 1
0 y = ½(0) + 1
2 y = ½(2) + 1
4 y = ½(4) + 1
x y = ½x + 1 y
-4 y = ½(-4) + 1 -1
-2 y = ½(-2) + 1 0
0 y = ½(0) + 1 1
2 y = ½(2) + 1 2
4 y = ½(4) + 1 3
12.
13. What is the ordered pair for A?
1. (3, 1)
2. (1, 3)
3. (-3, 1)
4. (3, -1)
5
5
-5
-5
• A
14. What is the ordered pair for C?
1. (0, -4)
2. (-4, 0)
3. (0, 4)
4. (4, 0)
5
5
-5
-5
• C
