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Linear Equations: Point of Intersection of Lines 150 150 SchoolTutoring Academy

Linear Equations: Point of Intersection of Lines

The point of intersection of two or more lines is a point which lies on all the given lies. It means the equations of all the given lines must be satisfied by the intersection point. This point of intersection of lines is called the “point of concurrency”.  Finding this point of concurrency of two lines…

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The Ins and Outs of Mood: Verbs 150 150 Suzanne

The Ins and Outs of Mood: Verbs

On a grammatical level, there are four major moods, and they determine how verbs get used. There is the imperative mood which expresses a request or gives a command: Let’s take a walk. Walk! Both are complete sentences and only a verb can be used properly as a one word, stand-alone sentence. There is the…

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Cognitive Fridays: Priming and its Effects 150 150 Suzanne

Cognitive Fridays: Priming and its Effects

Priming is one of the most common influences upon students, and possibly one of the least discussed. Priming is a psychological reality of life – we are all primed in advance of all the things we do with the words that we see and hear. From a business perspective, the concept is fairly straightforward –…

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English and Grammar: More Homophones 150 150 Suzanne

English and Grammar: More Homophones

Here is another collection of commonly confused homophones, words that sound alike but have different spellings, and, different meanings. Stationary vs. Stationery Stationary is an adjective, describing motionlessness.  The stars in the night sky appear stationary, but are in fact hurtling through the cosmos at tremendous speed. Stationery is a noun, used to mean office…

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Mathematics: Conditional Probability 150 150 SchoolTutoring Academy

Mathematics: Conditional Probability

Probability: Probability is the chance of occurring an event in a random experiment. In an experiment, the probability of happening an event E is denoted by P(E) and is defined as the ratio of number of elements in the event E to the number of elements in the sample space S. So, P(E) = n(E)/n(S),…

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Arithmetic and Geometric Means 150 150 SchoolTutoring Academy

Arithmetic and Geometric Means

For any two numbers a and b, we can insert a number A between them such that a,A, b are in arithmetic progression.  Here, A is called the arithmetic mean of a and b. Since a,A,b are in arithmetic progression, we have A-a = b-A 2A = a+b A = (a+b)/2. Example: Find the arithmetic…

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Commonly Confused Homophones 150 150 Suzanne

Commonly Confused Homophones

Homophones are words that sound identical, but are spelled differently and have different meanings. The following are definitions of some commonly confused homophones, followed by simple mnemonic tricks that writers can use to double check whether they are using the correct forms for the correct meanings. Principle vs. Principal A principle is used only as…

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Trigonometric Ratios of Standard Angles 150 150 SchoolTutoring Academy

Trigonometric Ratios of Standard Angles

Usually, a calculator is used to find the trigonometric ratios at different values. But sometimes, the problem may ask to solve it without using a calculator where it involves some standard angles. The standard angles are 0, 300, 450, 600 and 900. Let us learn how to find the values of trigonometric ratios of these…

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Problem-Solving and Verbal Overshadowing 150 150 Suzanne

Problem-Solving and Verbal Overshadowing

Problem-solving is something we all do every day. In terms of what our brains are doing, there are two very distinct processes being used. We either analyze the problem or we have an insight about the problem. These are two totally different things and there are times when the processes confuse each other, so understanding…

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Finding the Inverse of a 2×2 Matrix 150 150 SchoolTutoring Academy

Finding the Inverse of a 2×2 Matrix

Two matrices A and B of same order 2 are said be inverses to each other if AB=BA=I, where ‘I’ is the unit matrix of same order 2. Here, A is called inverse of B and B is called inverse of A. i.e. A= B–1 and B= A-1.   Note 1: From the above definition,…

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