x z y
real life situations where in rational algebraic equation is applied/used
If the value applied in the radical is not a perfect square, it is irrational. 25; 400; and 625 are perfect squares and are rational when applied in a radical.
if an equation is simplified by removing parentheses before the properties of equality are​ applied, what property is​ used?
The answer depends on the expression.
Only square matrices have inverses.
i like the Cartesian plane
The Cartesian coordinate system allows a geometric curve to be described in algebraic terms. This then allows the use of algebraic tools including differentiation and integration to be used to solve geometric problems such as the turning points of curves, their volumes of rotation and so on. It also enables geometric methods to be applied to solving algebraic problems.
It allowed points in space to be described algebraically. This allowed lines and curves to be described using algebra. Bringing together algebra and geometry meant that tools that mathematicians had developed for solving algebraic problems could be applied to problems in geometry and tools from geometry could be applied to algebra.
It enabled geometric information to be converted into algebraic form. This meant that the tools of algebra could be applied to solve geometric problems and the tools of geometry to algebraic problems. That greatly increased the ability of mathematicians to solve problems.
Analytical geometry is more commonly known as coordinate geometry. Using Cartesian, Polar or other coordinates systems, geometric shapes can be represented in algebraic terms. This bringing together of algebra and geometry enables the results in one branch of mathematics to be applied to finding solutions in the other.
Coordinate geometry (or analytical geometry) allows the algebraic representation of geometric shapes. This then allows algebraic concepts to be applied to geometry.
The Cartesian system allows you to describe a geometric shape in algebraic terms. This allows algebraic techniques, such as differentiation or integration to be applied to solve problems in geometry. Conversely, geometrical results can be used to solve problems in algebra.
A Cartesian coordinate system specifies each point uniquely in a plane by a pair of numerical coordinates, which are the signed distances from the point to two fixed perpendicular directed lines, measured in the sameunit of length. Each reference line is called a coordinate axis or just axis of the system, and the point where they meet is its origin, usually at ordered pair (0,0). The coordinates can also be defined as the positions of the perpendicular projections of the point onto the two axes, expressed as signed distances from the origin.One can use the same principle to specify the position of any point in three-dimensional space by three Cartesian coordinates, its signed distances to three mutually perpendicular planes (or, equivalently, by its perpendicular projection onto three mutually perpendicular lines). In general, one can specify a point in a space of any dimension n by use of n Cartesian coordinates, the signed distances from n mutually perpendicular hyperplanes.Cartesian coordinate system with a circle of radius 2 centered at the origin marked in red. The equation of a circle is (x− a)2 + (y − b)2 = r2where a and b are the coordinates of the center (a, b) and r is the radius.The invention of Cartesian coordinates in the 17th century by René Descartes (Latinized name: Cartesius) revolutionized mathematics by providing the first systematic link between Euclidean geometry and algebra. Using the Cartesian coordinate system, geometric shapes (such as curves) can be described by Cartesian equations: algebraic equations involving the coordinates of the points lying on the shape. For example, a circle of radius 2 may be described as the set of all points whose coordinates x and y satisfy the equation x2+ y2 = 4.Cartesian coordinates are the foundation of analytic geometry, and provide enlightening geometric interpretations for many other branches of mathematics, such as linear algebra, complex analysis, differential geometry, multivariate calculus, group theory, and more. A familiar example is the concept of the graph of afunction. Cartesian coordinates are also essential tools for most applied disciplines that deal with geometry, including astronomy, physics, engineering, and many more. They are the most common coordinate system used in computer graphics, computer-aided geometric design, and other geometry-related data processing
applied non-violence.
Because when force is applied to a confined fluid, the change in pressure is transmitted equally to all parts of the fluid.
Because when force is applied to a confined fluid, the change in pressure is transmitted equally to all parts of the fluid.
applied, exercised