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Definition and formula Articles
Found 5 articles
Distance Formula
Introduction Distance formula used to find the distance measure between two lines . In an XY-plane or Cartesian plane, the length of a line joining any two coordinates on the plane can be determined by subtracting them. The coordinates are different depending on their position on the XY plane. To find the distance between the two points $\mathrm{P(x_{1}\, \:y_{1})\:\&\:Q(x_{2}\, \:y_{2})}$ on the coordinate axis we apply the distance formula. To find the perimeter or the length of the sides of any two-dimensional geometric figures we use the distance formula. The distance formula has a wide range of real-life applications such ...
Read MoreVariable Definition
Introduction A variable is used to represent an unknown value in an equation. In algebra, we can use the four basic operations addition (+), subtraction (-), multiplication (×), and division (÷) same as arithmetic. In algebra, terms are mathematical expressions that are made of two different parts: the number part and the variable part. In a term, the number part and variable part are multiplied together and written without a multiplication symbol. Terms can have any number of variables Expressions An expression consisting of one or more terms in which variables may have anything as power, including positive, negative, ...
Read MoreMode Formula
Introduction The mode indicates the most frequently occurring value or number in the record. You may need to find values that occur more often in your dataset. In such cases, find the mode for the given dataset. A particular record may or may not have a modal value. For data with no-repeat values, there may be no mode at all. A mode is relevant when studying a list of numbers (such as the heights of all the children in a class). It is the numerical quantity that comes most frequently on the list. There can be a ...
Read MoreSection Formula in 3D
Introduction The section formula can be applied to a line segment located in 2D or 3D. The division of a line segment is a method or process in which the line segment is divided into several parts (equal or non-equal). Points are used to divide a line segment. It is an important method used in coordinate geometry to determine the centroid, incenter, and excenter of a triangle. In this tutorial, we will discuss the 3D geometry, section formula, and distance formula with solved examples. 3D Coordinate Geometry The 3D coordinate geometry represents the geometrical figures in 3D space. It requires ...
Read MoreQuadratic Formula
Introduction The quadratic equation is a one-variable polynomial equation with degree two. The highest power of the unknown variable in a quadratic equation is two. The general form of a quadratic equation f(x) with variable x is f(x)=ax2+bx+c=0, in which a≠0 and a, b, c ϵ R. Every quadratic equation has two roots which can be real or imaginary. The discriminant of a quadratic equation determines the nature of the roots. The roots can be calculated using the quadratic formula. Quadratic Equations A Quadratic equation is a polynomial equation of one variable with a degree of two. The general ...
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