AN EQUATION WHICH CAN BE WRITTEN IN THE FORM OF ax+by+c=0 WHERE a,b and c ARE REAL NUMBERS.
YOU WILL GET TO KNOW HOW TO REPRESENT THE EQUATIONS IN A GRAPH.
AN EQUATION WHICH CAN BE WRITTEN IN THE FORM OF ax+by+c=0 WHERE a,b and c ARE REAL NUMBERS.
YOU WILL GET TO KNOW HOW TO REPRESENT THE EQUATIONS IN A GRAPH.
The Roman Empire A Historical Colossus.pdfkaushalkr1407
The Roman Empire, a vast and enduring power, stands as one of history's most remarkable civilizations, leaving an indelible imprint on the world. It emerged from the Roman Republic, transitioning into an imperial powerhouse under the leadership of Augustus Caesar in 27 BCE. This transformation marked the beginning of an era defined by unprecedented territorial expansion, architectural marvels, and profound cultural influence.
The empire's roots lie in the city of Rome, founded, according to legend, by Romulus in 753 BCE. Over centuries, Rome evolved from a small settlement to a formidable republic, characterized by a complex political system with elected officials and checks on power. However, internal strife, class conflicts, and military ambitions paved the way for the end of the Republic. Julius Caesar’s dictatorship and subsequent assassination in 44 BCE created a power vacuum, leading to a civil war. Octavian, later Augustus, emerged victorious, heralding the Roman Empire’s birth.
Under Augustus, the empire experienced the Pax Romana, a 200-year period of relative peace and stability. Augustus reformed the military, established efficient administrative systems, and initiated grand construction projects. The empire's borders expanded, encompassing territories from Britain to Egypt and from Spain to the Euphrates. Roman legions, renowned for their discipline and engineering prowess, secured and maintained these vast territories, building roads, fortifications, and cities that facilitated control and integration.
The Roman Empire’s society was hierarchical, with a rigid class system. At the top were the patricians, wealthy elites who held significant political power. Below them were the plebeians, free citizens with limited political influence, and the vast numbers of slaves who formed the backbone of the economy. The family unit was central, governed by the paterfamilias, the male head who held absolute authority.
Culturally, the Romans were eclectic, absorbing and adapting elements from the civilizations they encountered, particularly the Greeks. Roman art, literature, and philosophy reflected this synthesis, creating a rich cultural tapestry. Latin, the Roman language, became the lingua franca of the Western world, influencing numerous modern languages.
Roman architecture and engineering achievements were monumental. They perfected the arch, vault, and dome, constructing enduring structures like the Colosseum, Pantheon, and aqueducts. These engineering marvels not only showcased Roman ingenuity but also served practical purposes, from public entertainment to water supply.
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!
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?
Model Attribute Check Company Auto PropertyCeline George
In Odoo, the multi-company feature allows you to manage multiple companies within a single Odoo database instance. Each company can have its own configurations while still sharing common resources such as products, customers, and suppliers.
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.
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.
How to Split Bills in the Odoo 17 POS ModuleCeline George
Bills have a main role in point of sale procedure. It will help to track sales, handling payments and giving receipts to customers. Bill splitting also has an important role in POS. For example, If some friends come together for dinner and if they want to divide the bill then it is possible by POS bill splitting. This slide will show how to split bills in odoo 17 POS.
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.
2. Objectives
At the end of the lesson, 80% of the students are
expected to:
a. Define Quadratic Equation.
b. State the form of a quadratic equation.
c. Solve problems involving quadratic equations .
d. Identify the use of quadratic equations in everyday life.
e. Evaluate performance from the activity.
3. Introduction
Quadratic Equation in algebra, is any
equation having the form ax2+bx+c = 0 where x
represents an unknown and a , b , c represent
known numbers such that a is not equal to
zero. It can be solved using the square roots,
by factoring, completing the square and by
using the quadratic formula.
4. Warm-Up Activity
Group the class into two.
Tell if the equations are quadratic or not.
Groups will be given 5 minutes each to
answer the problems.
1. x – y = 0
2. X2 – 9x + 20 = 0
3. 2x2 – 16x + 26 = 0
4. 18x + 75 = 0
5. 25x + 11 = 0
5. Warm-Up Activity
Ask:
What is quadratic equation?
When do you use quadratic equation?
How do you differentiate quadratic equations
from other equations like linear?
6. Activity
Group the class into 4. Each group will be given an
activity card. Answer the problems legibly. (20
minutes)
Group 1
Solve using the square
root:
X2 = 1
Group 3
Solve by completing
the square:
Y2 – 8y= 7
Group 4
Solve using the
quadratic formula:
5y2 + 6y + 1 = 0
Group 2
Solve by factoring:
X2 + 23x= 0
7. Activity
Answer the questions (one for each reporter):
1. How do you solve the quadratic equations by
using the square roots?
2. By factoring?
3. By completing the square?
4. By using the quadratic formula?
8. Conclusion
Quadratic equation can be used in many different
ways. We can use it in calculating room areas, figuring a
profit, finding the speed or quadratics in analytics. It lend
Themselves to modeling situations that happen in real life.
You can easily solve the equation by setting it to zero and
predicting the patterns in the function values.
When extracting the square roots, one must bear in
mind that the first step is isolating the squared variable.
Then we take the square root of both sides of the equation.
Factoring means expressing the quadratic equation in
standard form, applying the zero product property and
setting each variable equal to zero.
9. Conclusion
Meanwhile, in completing the square, we divide all
terms by a coefficient of the squared variable, move the
number term to the right side of the equation and complete
the square on the left side of the equation and balance this
by adding the same value to the right side of the equation.
And the simplest way to solve the quadratic equation is to
use the quadratic formula, x = ± b 𝑏2 − 4𝑎𝑐 / 2a. The
equation should be equal to zero, we identify the values a, b
and c and we use the quadratic formula.
Solving equations using the quadratic equation
methods is not an easy task. But as long as we follow the
process, and find the correct answer then we are good to go.
10. Please circle 1 to 4 for each of the following questions.
1 = Strongly Disagree 2 = Disagree
3 = Agree 4 = Strongly Agree
1. I enjoy working in groups.
1 2 3 4
2. I feel comfortable working in groups
1 2 3 4
3. I feel comfortable asking my group members questions
1 2 3 4
4. I feel more inclined to ask my group members questions before asking the teacher
1 2 3 4
5. I find my group members to be helpful
1 2 3 4
6. I feel I have a better understanding of mathematics from working in a group
1 2 3 4
7. Being in a group has helped me become more successful in math
1 2 3 4
8. I have enjoyed the Simultaneous Round Table cooperative learning strategy
1 2 3 4
9. I have enjoyed the Find a Friend cooperative learning strategy
1 2 3 4