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Newton’s Laws of Motion 150 150 SchoolTutoring Academy

Newton’s Laws of Motion

  An object is said to be in motion if it changes its position with time. A body which does not move is said to be at rest, motionless , or stationary. Sir Isaac Newton, one of the great scientists and mathematicians, gave three laws of motions popularly known as Newton’s three laws of motion.…

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Concepts of Motion – Displacement, Velocity and Acceleration 150 150 SchoolTutoring Academy

Concepts of Motion – Displacement, Velocity and Acceleration

An object is said to be in motion if it changes its position with time. A body which does not move is said to be at rest, motionless, or stationary. An object’s state of motion or rest cannot change unless it is acted upon by a force. Motion is described in terms of displacement, velocity,…

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Equations of a Circle 150 150 SchoolTutoring Academy

Equations of a Circle

A circle is the set of all points that are the same distance, r, from a fixed point called center.   If (x, y) is any point on the circle whose center is at (a, b) then the radius r of the circle is: According to Pythagorean Theorem (Square of hypotenuse is sum of square…

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Understanding Types of Alloys and Metals 150 150 SchoolTutoring Academy

Understanding Types of Alloys and Metals

Elements are the building blocks of all matter. An element is a pure substance consisting of one type of atom distinguished by its atomic number. These elements are categorized as metals, non-metals and inert. An alloy is a mixture composed of two or more elements. Alloys usually have different properties from those of the component…

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Congruent Triangle Theorem and Postulates 150 150 SchoolTutoring Academy

Congruent Triangle Theorem and Postulates

Two triangles are said to be congruent if they have same shape and same size. When triangles are congruent corresponding sides (sides in same position) and corresponding angles (angles in same position) are congruent (equal).   There are two theorems and three postulates that are used to identify congruent triangles. Angle-Angle-Side Theorem (AAS theorem) As…

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Composition of Functions 150 150 SchoolTutoring Academy

Composition of Functions

A function is a relation that assigns to each input value exactly one output value. A function can be defined as a rule that relates how one quantity depends on other quantities. Composition of functions Composition of functions refers to application of output from one function as input for another function. This means the range…

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Finding the Inverse of a Function 150 150 SchoolTutoring Academy

Finding the Inverse of a Function

Inverse of a function The word inverse comes from the word invert which means opposite, upside down. Let f and g be two functions such that function g is inverse of function f. If function f produces an output y with input x, then putting y into inverse function g produces the output x, i.e.…

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Introduction to Functions: Understanding Domain and Range 150 150 SchoolTutoring Academy

Introduction to Functions: Understanding Domain and Range

A function can be defined as a rule that relates how one quantity depends on other quantities. A function is a relationship between two variables. The first variable is called the independent variable (usually written as x), and the second variable is called the dependent variable (usually written as y). These variables are real numbers.…

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Operations on Functions: Adding and Subtracting Functions 150 150 SchoolTutoring Academy

Operations on Functions: Adding and Subtracting Functions

A function is a relation that assigns to each input value exactly one output value. Like numbers and polynomials we can add, subtract, multiply and divide functions which results into a new function. Below are the rules to perform these operations on functions. Let f(x) and g(x) be two functions: Addition We can add two…

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Types of Numbers – Natural Numbers, Integers, Rational Numbers 150 150 SchoolTutoring Academy

Types of Numbers – Natural Numbers, Integers, Rational Numbers

A number is used to count and measure. Numbers are classified according to type. Below are different types of numbers. Natural numbers: Denoted by N, are counting numbers from 1, 2, 3, 4,……Natural numbers are used for counting and ordering. Whole numbers:  Denoted by W, are natural numbers including 0. They are 0, 1, 2,…

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