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Algebraic Formulae

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Published in: Mathematics | Maths
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Crack the Code of Math Magic: Discover the secrets of algebraic formulas that turn everyday problems into solvable puzzles! This engaging guide will show you how to use simple formulas to unlock the power of numbers and equations, making algebra your new best friend. Get ready to master the math that makes the world work!

Shifaya M / Doha

2 years of teaching experience

Qualification: M.com

Teaches: Communicative English, Language, English, Geography, Hindi, Mathematics, Science, Social Studies, Accounts, Economics, Finance, Statistics, AUDIT, English Language, Tamil, Business Studies, Accounting

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  1. O a Algebraic Formulae: A Comprehensive Guide This presentation will explore various algebraic formulae, starting with foundational concepts like linear equations and expanding to more complex topics such as trigonometric identities. Each section will introduce important definitions, examples, and applications. by shifaya mariyam mohamed rafiq Made with Gamma
  2. c Linear Equations 111 3 Basic Form Linear equations are expressed in the form y = mx + c, where m represents the slope and c is the y-intercept. Y-intercept The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is zero. 2 4 Slope The slope of a linear equation determines its steepness, indicating the rate of change between x and Applications Linear equations have wide applications in various fields, including physics, economics, and engineering. Made with Gamma
  3. Quadratic Equations Standard Form Quadratic equations are expressed as ax2 + bX+ c = O, where a, b, and c are constants. Roots The roots of a quadratic equation are the values of x that satisfy the equation, which are also the points where the parabola intersects the x- axis. Quadratic Formula The quadratic formula is a powerful tool used to find the roots of any quadratic equation, providing a direct solution. Made with Gamma
  4. Exponential Functions 2 3 General Form Exponential functions are represented by the formula y = ahx, where a is the base and x is the exponent. Growth/Decay Exponential functions model phenomena that grow or decay at a constant rate over time, such as population growth or radioactive decay. Applications Exponential functions have wide applications in finance, biology, and computer science. Made with Gamma
  5. Logarithmic Functions SO .0 2 3 Definition Logarithmic functions are the inverse of exponential functions, where the logarithm of a number to a given base is the exponent to which the base must be raised to produce that number. Base 10 The common logarithm (log) uses 10 as the base, while the natural logarithm (In) uses the mathematical constant e as the base. Properties Logarithmic functions have several important properties, including the product, quotient, and power rules. 40 Made with Gamma
  6. Trigonometric Identities Pythagorean Identity Angle Addition Formula Double Angle Formula sin(a + ß) = Sina cosß + cosa sing 2sine cose Made with Gamma
  7. 15 14 14 36 36 Sequences and Series Arithmetic Sequences Arithmetic sequences have a common difference between consecutive terms. The general formula for the nth term is an = al + (n-l)d, where al is the first term and d is the common difference. Geometric Sequences Geometric sequences have a common ratio between consecutive terms. The general formula for the nth term is an = al * where al is the first term and r is the common ratio. Series A series is the sum of the terms of a sequence. Arithmetic series have a formula for the sum of the first n terms, while geometric series have a different formula. with Gamma
  8. NAL: S = 2xx Conclusion and Summary Algebraic formulae are fundamental tools in mathematics, providing a structured framework for solving problems and understanding relationships. This presentation has introduced several key types of formulae, demonstrating their applications and importance in various fields. Made with Gamma

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