Archive for the ‘Mathematics’ Category

How to Use the Distance Formula on a Coordinate Plane

Let's say you want to measure the length of any distance or line sitting on horizontal or vertical axes on a coordinate plane. You can count the coordinates. The tricky part is using the same formula for a diagonal line—that's where the distance formula comes in. Based on the Pythagorean Theorem, the distance formula sets […]

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How to Apply Powers to the Unit i

The variable represents somewhat of an anomaly within mathematics. As one of the prerequisites to any type of non-real number, understanding i is a crucial step towards your journey into higher-level math. Before we apply powers to the unit , we must understand what involves when we use it in a mathematical expression. What is […]

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How To Solve Linear Congruences

Numbers are congruent if they have a property that the difference between them is integrally divisible by a number (an integer). The number is called the modulus, and the statement is treated as congruent to the modulo. Mathematically, this can be expressed as b = c (mod m) Generally, a linear congruence is a problem of finding […]

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Calculating Probability with Mean and Deviation

Calculating probability with mean and deviation depends on the type of distribution you'll base your calculations on. Here, we'll be dealing with typically distributed data. If you have data with a mean μ and standard deviation σ, you can create models of this data using typical distribution. We can find the probability within this data based on that mean […]

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Solving Trigonometric Equations and Identities

It is said that spies and other nefarious characters will carry many passports, enabling them to claim a different identity instantly. Despite the many identities, we know that all these passports are aliases of the same person. Trigonometric identities are different ways of representing the same expression. They are used to solve a trigonometric equation when applied […]

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Understanding Shapes with Oblique Angles

Oblique shapes are extraordinarily common, but many people don’t know what they are. Oblique shapes are shapes made of oblique angles. Oblique angles are: Acute angles: angles that are 0-90 degrees Obtuse angles: angles that are 90-180 degrees The sides that form the angles of an oblique shape are never perpendicular. In simple terms, these […]

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Calculating Weight Using Different Gravity Loads

One can define gravity as a universal force that acts between two objects. It tends to pull objects towards the center of the earth. Each body in the universe possesses a particular amount of matter. This is known as mass, which is defined as the amount of matter contained in a substance. Anything that occupies […]

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Calculating Acceleration Due To Gravity on a Plane

Ever wondered why, when a body is thrown upwards, it comes back down at an increased speed? It is due to the acceleration caused by gravity. Near the earth's surface, there is almost no gravitational force experienced, but it varies at large distances from the earth. Gravity is a force that is experienced between two […]

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Calculating Mass From Force and Weight

We've all heard the term “mass” in school before. But what actually is mass? And how can we calculate it if we know the force and weight of an object? Well, I’m glad you asked. To calculate mass, you need to know the force of gravity that's acting on the object, and its weight. And […]

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Separating Variables in Differential Equations

Separation of Variables, widely known as the Fourier Method, refers to any method used to solve ordinary and partial differential equations. To apply the separation of variables in solving differential equations, you must move each variable to the equation's other side. Get to Understand How to Separate Variables in Differential Equations As indicated in the […]

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