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Using the Euclid's algorithm find the multiplicative inverse of 1234 mod4321?
Using the extended Euclidean algorithm, find the multiplicative inverse of a) 1234 mod 4321
Geometry in mathematics comes under pure mathematics or applied mathematics?
When you study the theory of geometry, it is pure mathematics. However, when you start using the geometry you have learned in other, more practical areas, then it becomes applied.
What are the coordinates of point R that lies along the directed segment from J ( 10 - 3 ) to K ( 1 - 3 ) and partitions the segment in the ratio of 2 to 7?
Using the distance formula the length of the line segment from (10, -3) to (1, -3) is 9 units which means that the line segment is partitioned by 2 units and 7 units. To find the coordinates of point R plot the above information on the Cartesian plane.
Which constructions is impossible using only a compass and straightedge?
doubling the cube
How is the pythagorean theorem used in modern day times?
The Pythagorean theorem is used for many things today. For example, it can be used for building. Putting in flooring deals with squares and triangles using the Pythagorean Theorem. Some builders use this formula, because they can find the missing sides. The Pythagorean theorem plays an important role in mathematics, too. For example: -It is the basis of trigonometry -using the theorems arithmetic form, it connects algebra and geometry. -It is linked to fractal geometry His theorem is not only important in 2-D geometry, but also in 3-D geometry. Video games environments are drawn in 3-D using all triangles. i got this information from a website called: [See below for the related link to this website]. This website tells you all about how the Pythagorean theorem is used in modern day.
To construct a parallel to a line through a point not on the line using paper folding you can perform the construction twice?
perpendicular line segment (apex)
How many types of geometry do mathematicians study?
Mathematicians study various types of geometry, but the most common ones include Euclidean geometry, which studies flat, two-dimensional space, and three-dimensional space; and non-Euclidean geometry, which explores curved spaces such as spherical and hyperbolic geometries. Differential geometry is another branch that focuses on the study of curves and surfaces using calculus techniques, while algebraic geometry investigates geometric objects defined by algebraic equations. Finally, fractal geometry delves into the study of intricate, self-repeating geometric patterns.
How do you solve Euclidean algorithm?
GCF(437,1247) using Euclidean algorithm
Explain why a line segment is considered a defined term in geometry?
A point is an undefined term. But given two points, they can be joined using a line segment.
What line represents distance?
In mathematics and physics, distance is often represented by a straight line in a coordinate system, typically denoted as a line segment between two points. The length of this segment corresponds to the distance between those points, calculated using the distance formula. In a more abstract sense, the concept of distance can also be represented by various metrics, depending on the context, such as Euclidean distance in geometry or other forms in different mathematical spaces.
Can a counterexample prove that the angles of a triangle need not add up to 180 degrees?
Yes - if such a counterexample can be found. However, using only the Euclidean axioms and logical arguments, it can be proven that the angles of a triangle in a Euclidean plane must add to 180 degrees. Consequently, a counterexample within this geometry cannot exist.
How would you name line segment AH?
Line segment AH can be named simply as "AH." In geometry, line segments are typically named by using the endpoints, so AH indicates a segment with endpoints at points A and H. It is also common to refer to it as segment AH or simply as segment A to H for clarity.
Trisecting a line segment by using only a straightedge and compass was proven impossible by advanced algebra.?
You don't need advanced algebra to prove that it is impossible to trisect a line segment using only a straight edge and a compass: anyone knows that you will also need a pencil! And one you have that then there are plenty of easy ways to do it.
What is a euclidean distance?
Euclidean distance is a measure of the straight-line distance between two points in Euclidean space. It is calculated using the Pythagorean theorem, which involves taking the square root of the sum of the squared differences between corresponding coordinates of the points. In two dimensions, for points (x1, y1) and (x2, y2), the formula is √((x2 - x1)² + (y2 - y1)²). This distance metric is widely used in various fields, including geometry, clustering, and machine learning.
What are midpoints of a segment?
The midpoint of a segment is the point that divides the segment into two equal parts. It is located at the average of the coordinates of the endpoints of the segment. For a segment with endpoints at coordinates (x₁, y₁) and (x₂, y₂), the midpoint can be calculated using the formula ((\frac{x₁ + x₂}{2}, \frac{y₁ + y₂}{2})). This point is crucial in geometry for various constructions and proofs.
Trisecting a line segment by using only a straightedge and compass was proven impossible by advanced algebra?
false
How do you find common dinomanater in fractions?
Using the Euclidean algorithm
