Using the extended Euclidean algorithm, find the multiplicative inverse of a) 1234 mod 4321
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.
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.
doubling the cube
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.
perpendicular line segment (apex)
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.
GCF(437,1247) using Euclidean algorithm
A point is an undefined term. But given two points, they can be joined using a line segment.
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.
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.
Using the Euclidean algorithm
false
This cannot be done using construction techniques of classic geometry. It is possible in non-Euclidean geometries, but is essentially a different problem than the one we think of in Euclidean geometry. One additional non-geometric solution that has been tried and found ineffective in the past is legislative fiat. See the Indiana Pi Bill. Due to the lack of prominent mathematicians in the current legislature, you may have more luck now than in the 18th century. I'd suggest slipping it into a stimulus package.
1
Answerlike using geometry in buildings
by using coordinate geometry you can find the position of a place in earth by using the pictures taken by satellites.