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Physics: What is Dispersion of Light? 150 150 SchoolTutoring Academy

Physics: What is Dispersion of Light?

The light rays from the sun consist of seven different colors – red, orange, yellow, green, blue, indigo and violet (ROYGBIV). We see seven different colors when these sun are passed through a glass prism. The splitting of a ray into its component colors is known as dispersion of light. The band of colors into…

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Factoring: Least Common Multiple 150 150 SchoolTutoring Academy

Factoring: Least Common Multiple

The LCM of two numbers x and y is the least number among all the common multiples of x and y. Example: Find the LCM of 6 and 9.   Solution: Multiples of 6 are 6,12,18,24,30,36,… Multiples of 9 are 9,18,27,36,… So the common multiples are 18, 36, …   So, LCM of 6 and…

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3D Spaces: Addition and Subtraction in Cubic Areas 150 150 SchoolTutoring Academy

3D Spaces: Addition and Subtraction in Cubic Areas

Sum of cubes: We can factorize an expression involving sum of cubes using the following formula. a3 + b3 = (a+b) (a2 – ab + b2) Example 1: Factorize the expression x3 + 8. Solution: x3 + 8 = x3 +23 Here a=x and b= 2. Using the above formula, x3 +23 = (x+2) (x2…

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Physics: Understanding Circular Motion 150 150 SchoolTutoring Academy

Physics: Understanding Circular 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. Circular motion is a movement of an object along a circular path or a circular orbit. The object in circular motion moves along the circumference…

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Formulas for the Equation of a Line 150 150 SchoolTutoring Academy

Formulas for the Equation of a Line

Equation of a line: An equation is called the equation of a straight line if each point on the line satisfies that equation and no other point on the plane satisfies that equation. General form of equation of a line: The general form of equation of a line is ax + by + c=0. Example:…

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Converting Between Percents, Fractions and Decimals. 150 150 SchoolTutoring Academy

Converting Between Percents, Fractions and Decimals.

Percent to Fraction To convert a percent to a fraction write down percent divided by 100 and simplify the fraction. Example: Convert 18% to fraction. 18/100 = 9/50 (divided both numerator and denominator by 2) Fraction to Percent To convert a fraction to a percent divide the numerator of the fraction by the denominator and…

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Understanding Matrices in Math 150 150 SchoolTutoring Academy

Understanding Matrices in Math

  Matrix:  A matrix is a rectangular arrangement of “mn” elements with ‘m’ rows and ‘n’ columns enclosed within brackets. Here m x n is called the order of the matrix and it should be read as “m by n”. Example:   is a matrix with 2 rows and 2 columns. So,  is a matrix of…

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Grammar: Understanding Past Perfect Tense 150 150 SchoolTutoring Academy

Grammar: Understanding Past Perfect Tense

We use the Past Perfect tense to show that an action in the past finished before another action in the past started.  The past perfect tense is formed with the past tense of the verb have (had) and the past participle of the verb. Uses To express a completed action before another action in the…

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Calculus: Highest Common Factor 150 150 SchoolTutoring Academy

Calculus: Highest Common Factor

The Highest Common Factor (HCF) of two numbers x and y is the highest number among all the common factors of x and y.   Example: Find the HCF of 12 and 18.   Solution: Factors of 12 are 1,2,3,6,12 Factors of 18 are 1,2, 3,6,9,18.   Common factors are 1,2,3,6.   So, HCF is…

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Geometric Relations: Rotational Symmetry 150 150 SchoolTutoring Academy

Geometric Relations: Rotational Symmetry

A shape with rotational symmetry looks the same after a certain amount of rotation. An object may have more than one rotational symmetry. The point around which the shape is rotated is called the center of rotation, and the smallest angle needed to turn is called the angle of rotation.  The image is rotated (around…

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