Wednesday, September 15

Algebra Solver

algebra solver step by step:

Algebra is one of the a lot of basal aspect of mathematics in which, we about-face from basal accession to variables. Algebra has assorted subdivisions like polynomials, graphing, arrangement of equations, logarithms, etc. Polynomial is aswell a allotment of algebra. Expressions of an exact ambit end to end with variables (x, y) and constants are alleged as polynomials. Polynomials absorb with operations like accession and subtraction. Algebra footfall by footfall solver can be acclimated for ths affectionate of problems. The algbra footfall by footfall solver solves the expressions accustomed in it with footfall by footfall explanation. The afterward sections shows the footfall by footfall solver free.

Tuesday, September 14

Mean


Mean Deviation:
What are the Merits of Beggarly Deviation:
1. Beggarly aberration is acclimated in added fields aswell for archetype business, and economics.
2. It is calmly to acquisition out the median.
3. Based on the deviations, it gives the bigger measurement.
4. The capital focus point is to any admeasurement acclimated for statistical Analysis
What are the Demerits of Beggarly Deviation:
1. The boilerplate atom mean. it is difficult to abridge the beggarly deviation.
2. It is not simple to account for added ambit X, M.
3. Beggarly aberration and its co able taken from X, M and Z.
4. In case ambit increases, and the sample increases, the boilerplate aberration aswell increases.
We had advised what is beggarly deviation.
5. Here absolute and abrogating assurance are neglected.

Tuesday, September 7

Algebra Expresions

Algebra Expressions
Intermediate algebra problem: 2
Solve: 7x - 5 = 79
Solution:
Given: 7x – 5 =79
7x=79 +5
7x=84
x=84 * 1/7
x=12

Thursday, September 2

Random Distribution

Random distribution:

In order to analyzes numerical information, it is necessary to arrange them systematically. An arrangement of information in a systematic order is called a uniform distribution. A uniform distribution, sometimes called as an rectangular distribution, in this distribution that has the constant Probabilities occurred.

Types of Uniform random distributions:

Uniform random distributions are classified as two types, they are
1. Continuous uniform distributions, and
2. Discrete uniform distributions.

Friday, August 27

Online math

Free online math help:

Multiplication, Addition, and Subtraction

For addition and subtraction, use the standard + and - symbols respectively. For multiplication, use the * symbol. A * when multiplying a number by a variable symbol is not necessary . For instance: 2 * x can also be entered as 2x. same way * (x + 5) can also be entered as 2(x + 5); 2x * (5) can be entered as 2x(5). The * is also optional when multiplying with parentheses, example: (x + 1)(x - 1)

Wednesday, August 25

Introduction to square root

square root divided by square root
Introduction to Square root:
Square root is basic operation in mathematics. We use square root operation in every day life. The most mathematics operation square root symbol. We used the symbol for square root is √ . The square root of x will be used in math like . It is called as radical.

Saturday, August 21

Defination of Parallel

parallel definition:

Two lines that does not intersect in a plane and it will meet together is said to be parallel lines. Here the line those two lines often used in is parallel if they do not intersect, though this definition applies only in the 2-dimensional plane. An equal distance of a parallel line is same as the opposite line is an another way for geometry.


Symbol: The parallel symbol represented by ||.
For example, AB || CD denotes that line AB is parallel to line CD.


Friday, August 13

online algebra 2 problems

Let us learn about algebra 2 problems

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online pre algebra problems cover equation equations, graphing, multiplex lottery, functions, sequences and serial, and exponents and logarithms. Difficulty solving skills are emphasized throughout, and time is devoted to sophisticated topics equivalent telescoping sums and piecewise functions.
Students are primed for this class if they feature perfect row roots and fragmental exponents, status of dealings, linear equations and inequalities, ratio, and proportion. We suggest that students feature participate with factoring quadratics prior to taking this direction.
Our Algebra succession faculty not belike twin up just with your trains. We bang titled our courses so as to work new students resolve which conference to use. This assemblage is suitable for those who score realized our algebra 1 homework, or who bang realized a high-level honors Algebra 1 layer in refine.

In our next blog we shall learn about algebra 1 answers I hope the above explanation was useful.Keep reading and leave your comments.

Thursday, August 12

statistics tutor


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The tutoring is a bright technique for the student to assemble the information from the online. The statistics tutor is very helpful to the students. The statistics tutor provides the information in mean, median, mode, range with some example and practice problems. Now we will discuss the 1st grade statistics tutor with examples some of the example problems of 1St grade statistics.
free statistics tutoring is a new way for a student to receive help, either scheduled or on demand. Sessions are done through a proprietary application where a student and tutor can communicate. Common tools include chat, whiteboard, web conferencing, teleconferencing and other specialized applets which make it easier to convey information back and forth. For example, there may be a specialized applet designed specifically for mathematics which allow the use of symbols.

Monday, June 28

Triangle Problem and Solution



Question: Prove that the points A(-5, 4), B(-1, -2) and C(5, 2) are the vertices of an isosceles right angled triangle.

Given that ABC is a triangle.

image

If ABC is an isosceles D le, then AB = BC.

image

image

image

image

image

image

Hence ABC is an isosceles triangle.

If it is a right angled triangle then,

AC2 = AB2 + BC2

image

image

image

AC2 = 104 units

image

image

= 2 x 52

= 104 units

Hence AC2 = AB2 + BC2 and AB = BC

image is an isosceles right angled triangle.
In the above Cartesian system problem solving, we can see while calculating the Pythagoras theorem is used.

Defination of Matrix

Definition of a Matrix:

A rectangular array of entries is called a Matrix. The entries may be real, complex or functions.
The entries are also called as the elements of the matrix.
The rectangular array of entries are enclosed in an ordinary bracket or in square bracket. Matrices are denoted by capital letters.

Example:

(i)

Note that the entries in a given matrix need not be distinct.
(ii)
The entries in this matrix are function of x.
A matrix having m rows and n columns is called as matrix of order mxn. Such a matrix has mn elements.
In general, an mxn matrix is in the form
Where aij represents the element in ith column.
The above matrix may be denoted as A = [aij]mxn.

Thursday, June 24

Introduction to algebra with integers:

Introduction to algebra with integers:

The set of integers, Z, consists of the whole numbers and their negative counterparts. Z = { …, -3, -2, -1, 0, 1, 2, 3, … }
The absolute value of a number is the distance between the number and zero on a number

It is defined by the formula: x = x, if x ≥ 0 − x, if x <>
The algebra with integers is the set of integers that has whole number and their negative counterparts. The algebra with integers include different operations as addition, subtraction, multiplication, division of algebra with integers.Let us see the algebra with integers concepts and example problems.

Types of Integers

Types of Integers:

There are two types of Integers:


1. Positive Integers:
Positive integers are whole numbers, which are greater than zero. For example, 25, 27, 103, 758…etc.
2. Negative Integers:
Negative integers are the opposites of the whole numbers. For example, -5, -22, -38, -504, -4585…etc. Negative numbers indicated by the sign (-). Zero is neither positive nor negative.

Rules for Dividing Integers:

The rules for solving dividing integers is explained below:
Consider this division example: 24 ÷ 4 = 6.
In division each number is referred by a special name.
Here, 24 is dividend, 4 is divisor, and 6 is quotient

quotient × divisor = dividend

dividend ÷ divisor = quotient

dividend ÷ quotient = divisor
Rules for Solving Dividing Integers

1) Positive ÷ Positive = Positive

Example: 28 ÷ 7 = 4

28, 7, and 4 are positive.
2) Negative ÷ Negative = Positive
Example: -28 ÷ -7 = 4

28 and 7 are negative, but 4 is positive.
3) Negative ÷ Positive = Negative

Example: -28 ÷ 7 = -4

28 is negative, 7 is positive, but 4 is negative.

4) Positive ÷ Negative = Negative

Example: 28 ÷ -7 = -4

28 is positive, 7 is negative, and 4 is negative.

Thursday, June 17

Geometrical Interpretation - Scalar Triple Product Proof


Suppose there exists a parallelepiped with vectors a, b and c along sides OA, OB and OC respectively.
Height = OA
= a cos
where angle which the height OA makes with the base of the parallelepiped is
Area of base = area of parallelogram OBDC
= | b * c | (from definition of cross product)
= |b| |c| sin
where angle between OB and OC is
Volume of parallelepiped = Area of base * Height
= Area of parallelogram OBDC * OA
= (|b| |c| sin theta) * ( |a| cos alpha)
= ( |b| * |c| ) a cos= a . ( b * c)

Definition- Calculate Ratio Math

Definition- Calculate Ratio Math:

The ration of two numbers r and s(s≠0) is the section of the numbers. The numbers r and s are called the terms of the ratio.
Concept - calculate ratio math:
The numeric ratio of two numbers r and s(s≠0) is the section of the numbers. The numbers r and s are called the conditions of the numeric ratio.
Types of ratio- calculate ratio math:
  1. Compounded ratio in math.
  2. Duplicate ratio in math.
  3. Triplicate ratio in math.

Wednesday, June 16

Perfect square of a trinomial

Perfect square of a trinomial:

If all the terms of the polynomial have a common factor, we take out the common factor and factorise.
If the polynomial can be expressed as the difference of two squares,
we use a2 - b2 = (a + b) (a - b).
  • If all the terms of the polynomial have a common factor, we take out the common factor and factorise .
  • If all the terms of the polynomial have a common factor, we take out the common factor and factorise .
  • If the polynomial can be expressed as the difference of two squares,
we use a2 - b2 = (a + b) (a - b)
  • Quadratic trinomials of the form x2 + ax + b can be factorised using the identity. (x + a) (x + b) = x2 + x(a + b) + ab.
  • When the trinomial is ax2 + bx + c and , we follow the following steps. We find two factors whose sum is b, and whose product is a x c.
We split the middle term using these two factors and factorise by grouping the terms.
  • If the polynomial can be expressed as the sum or difference of two cubes we use the following identities.
a3 + b3 = (a + b) (a2 - ab + b2)
a3 - b3 = (a - b) (a2 + ab + b2)

What are equal and parallel line?

What are equal and parallel line?


If two parallel lines are cut by a transverse, the alternate angles are equal.

and
These are two pairs of alternate angles.



A transversal intersects two lines. If the alternate angles are equal, then the lines are parallel.
If or then AB is parallel to CD.


Monday, June 14

Divisibility rules

Divisibility rules:
  • Numbers ending with 0‚ 2‚ 4‚ 6 or 8 are divisible by 2
  • If the sum of the digits of a given number is divisible by 3, the number is divisible by 3.
  • If the number formed by the end two digits of a given number is divisible by 4‚ then the number will be divisible by 4.
  • Numbers ending with 0 or 5 are divisible by 5
  • If the number formed by the end three digits of a given number is divisible by 8‚ then the number will be divisible by 8.
  • If the sum of the digits of a number is divisible by 9, the number is divisible by 9.
  • Numbers ending with 0 are divisible by 10
  • If the difference of the sums of the digits in alternate places is divisible by 11, the number is divisible by 11.