Exercise 9.3:The term “midpoint” can have different meanings depending on the context. Here are the two most common ones: 1. In geometry: The midpoint of a line segment is the exact middle point on that line segment. It’s the point…
Exercise 9.2:In geometry, points are considered collinear if they all lie on the same straight line, regardless of their distance from each other. The term “collinear” comes from the Latin words “col” meaning “together” and “linear” meaning “line.” Here are…
Exercise 9.1:Coordinate geometry, also known as analytic geometry or Cartesian geometry, is a branch of mathematics that bridges the gap between algebra and geometry. It allows us to study geometric shapes and their properties using algebraic equations and vice versa.…
Linear programming, a powerful mathematical technique, finds its application in optimizing various real-world scenarios where resources are limited. Rooted in the field of operations research, linear programming aims to maximize or minimize a linear objective function, subject to a set…
Exercise. 7.3: Solving linear Inequalities: Linear inequalities are mathematical statements that compare two expressions using inequality symbols instead of an equal sign. These expressions can involve: Key points about linear inequalities: Think of them as expressing relationships like “greater than,”…
Exercise. 7.2: Equations Involving Absolute Value: The absolute value of a number, denoted by |x|, represents its distance from zero on the number line, regardless of its sign. In other words, it tells you how far away a number is…
Exercise.7.1: Applications of Linear equations: A linear equation is a mathematical equation of the first degree, which means that it involves only variables raised to the power of 1 and does not include any variables raised to a higher power.…
Exercise.6.3: Square Root of Algebraic Expression:The square root of a non-negative real number, denoted by the symbol √, is a value that, when multiplied by itself, gives the original number. In other words, for a non-negative real number ‘a,’ the…
Basic Operations on Algebraic Fractions:Algebraic fractions, often encountered in intermediate and advanced mathematics, are expressions that involve both variables and constants in the form of fractions. Understanding how to manipulate and perform basic operations on algebraic fractions is crucial for…
Welcome to the intricate world of mathematics, where numbers weave a tapestry of relationships. In this exploration, we unravel the concept of the Least Common Multiple (LCM), a fundamental element in number theory. The LCM, often abbreviated yet profoundly impactful,…