Introduction to what is the greater than sign

Introduction to what is the greater than sign:
In mathematics, the inequality plays the main role. In inequality we have many signs like less than, greater then, less than or equal to, greater than or equal to .In this symbol for What is the greater then sign is “> “.

This what is the greater then sign specifies that the left hand side of the greater then sign is greater then the right side constant or variable.
Symbols and Rules on What is the Greater than Sign:
Symbols - What is the greater then sign:
* > is the greater then sign.
* > = is the greater then or equal to sign.
* >> is the much greater then sign
I hope the above explanation was useful, now let me explain factors of 27

Differential Equation & Indefinite Integrals

Let us study about Differential Equation,

Differential Equation : A differential equation is a relation between the independent, dependent variables and their differential coefficients.
Indefinite Integrals : The expression ∫ f(x) dx is read "the indefinite integral of f(x) with respect to x," and stands for the set of all antiderivatives of f. Thus, ∫ f(x) dx is a collection of functions; it is not a single function, nor a number.

I hope the above explanation was useful.

Coordinate plane

Let us study about Coordinate plane,

The math term plane is a two dimensional flat surfaced with no thickness spanned with two linearly independent vectors and its extends its boundary forever. The generalization of the math term plane with higher dimension is called a hyper plane and the angle between the two intersecting plane is called dihedral angle.

In the term plane, there is only two axis are there,

* X axis (width);
* Y axis(Length)

I hope the above explanation was useful.

What is polygon centroid

Let us study about Polygon Centroid,

Introduction to calculating centroid:
Centroid should be a point over the figure or diagram at which the whole mass of the body acts. It must be the center point of complete figure. The calculating centroid of the straight line must be its middle point. When the diagram is triangle, calculating centroid should be a point which the medians are cross. These are intersecting with the ratio of 2:1.

Finding Centroid of the Triangle:

The co-ordinates of the triangle are (x₁ , y₁), (x₂, y₂) and (x₃, y₃). Therefore, the formula for calculating centroid of that triangle is,

((x₁+x₂+x₃)/3, (y₁+y₂+y₃)/3)

I hope the above explanation was useful.

What is Acute Triangle

Let us study what is Acute Triangle,

Introduction to an acute triangle can have:

An acute triangle article deals with the defintion of acute triangle and the properties of the acute triangles

Acute triangle having all three angles are less than 90 degrees and with different side lengths.This triangle contain three internal angles and these internal angles sum up to 180 degrees.Acute triangle is two-dimensional closed three-sided shape .we have different terms and formulas to find the area and perimeter of the acute scalene triangle.

I hope the above explanation helped you, now let me explain about Perimeter of circle.

Explain Perimeter of a triangle

Let us study what is Perimeter of a triangle,

Triangle is a three sided polygon, the sides are closed three line segments. To calculate perimeter of a triangle in calculator we know three sides of a triangle. The perimeter of a triangle is measured in terms of units. Let we learn about how to find perimeter of a triangle calculator.
Perimeter of a Triangle Calculator:

The formula for perimeter of a triangle used calculator is

Perimeter p = a + b + c units, where a, b and c are the three sides of a triangle.

I hope the above explanation was useful.

How to factor polynomial equations

Let us learn How to factor polynomial equations,
A "quadratic" is a polynomial that looks like "ax²+ bx + c", where "a", "b", and "c" are just numbers. For the easy case of factoring, you will find two numbers that will not only multiply to equal the constant term "c", but also add up to equal "b", the coefficient on the x-term. For instance:

* Factor x² + 5x + 6.

I need to find factors of 6 that add up to 5. Since 6 can be written as the product of 2 and 3, and since 2 + 3 = 5, then I'll use 2 and 3. I know from multiplying polynomials that this quadratic is formed from multiplying two factors of the form "(x + m)(x + n)", for some numbers m and n. So I'll draw my parentheses, with an "x" in the front of each:

(x )(x )

Then I'll write in the two numbers that I found above:

(x + 2)(x + 3)

This is the answer: x² + 5x + 6 = (x + 2)(x + 3)
I hope the above explanation helped you.

circle circumference

Let us study about Circle Circumference,
The circumference of a circle is the actual length around the circle which is equal to 360°. Pi (p) is the number needed to compute the circumference of the circle.
p is equal to 3.14.
Pi is greek and has been around for over 2000 years!

In circles the AREA is equal to 3.14 (p) times the radius (r) to the power of 2.
Thus the formula looks like:
A= pr2.

In circles the circumference is 3.14 (p) times the Diameter.
Thus the formula looks like:
2pr or pd.

Example :

A circular swimming pool has a radius of 14 m. Find the circumference of the pool.

Solution:






So, the circumference of the pool is 88 m.

Note:


I hope the above explanation was useful.

Operations with Algebraic Fractions

Let us study about operations with Algebraic Fractions,

Operations with Algebraic Fractions :


There are many techniques that will simplify
your work as you perform operations with algebraic fractions. As you review these examples, note the steps involved in each operation and any methods that will save you time.

Reducing algebraic fractions

To reduce an algebraic fraction to lowest terms, first factor the numerator and the denominator; then cancel, (or divide out) common factors.

Example : Reduce.
Warning: Do not cancel through an addition or subtraction sign as shown here.
Hope the above explanation was useful.

Conditional Probability

Let us study about conditional probability,
Sometimes you have more information than simply total outcomes and favorable outcomes and, hence, are able to make more informed judgments regarding probabilities. For example, suppose you know the following information: In a particular village, there are 60 women and 40 men. Twenty of those women are 70 years of age or older; 5 of the men are 70 years of age or older. See Table 1 .


What is the probability that a person selected at random in that town will be a woman? Because women constitute 60 percent of the total population, the probability is .60.

What is the probability that a person 70+ years of age selected at random will be a woman? This question is different because the probability of A (being a woman) given B (the person in question is 70+ years of age) is now conditional upon B (being 70+ years of age). Because women number 20 out of the 25 people in the 70+ years-old group, the probability of this latter question is 20/25, or .80.

Conditional probability is found using this formula:
which is read: The probability of A given B equals the proportion of the total of A and B to the total of B. The vertical bar in the expression A| B is read given that or given.
I hope the above explanation was helpful.

The Nullspace of a Matrix

Let us study the Nullspace of a Matrix,

The solution sets of homogeneous linear systems provide an important source of vector spaces. Let A be an m by n matrix, and consider the homogeneous system

Ax = 0

Since A is m by n, the set of all vectors x which satisfy this equation forms a subset of R n . (This subset is nonempty, since it clearly contains the zero vector: x = 0 always satisfies A x = 0.) This subset actually forms a subspace of R n , called the nullspace of the matrix A and denoted N(A). To prove that N(A) is a subspace of R n , closure under both addition and scalar multiplication must be established. If x1 and x2 are in N(A), then, by definition, A x1 = 0 and A x2 = 0. Adding these equations yields
which verifies closure under addition. Next, if x is in N(A), then A x = 0, so if k is any scalar,
verifying closure under scalar multiplication. Thus, the solution set of a homogeneous linear system forms a vector space. Note carefully that if the system is not homogeneous, then the set of solutions is not a vector space since the set will not contain the zero vector.
Hope the above explanation helped you to know about Nullspace of a matrix, now let me explain you about matrices and determinants.