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Introduction to algebra factorising:

In algebra equations factorisation is one of the important method. Factorisation gives the x values of the given algebraic equations. Factoring the equations gives the desired value of the function. It is very easy and simple. General form of the algebraic equation can be written as, ax² + bx + c. In factorisation, we find two or more factor values. Quadratic equations are mainly used for factorising process.

Problems - Algebra Factorising

Find the factor value of the given quadratic equation x² - 2x - 35 = 0

Solution:

Given quadratic equation is x² - 2x - 35 = 0

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First, we have find the two numbers that add to be give the value of (- 2) and give the product of (- 35).

For in this case, that two numbers are - 7, 5. So we exchange - 2x as (- 7x + 5x)

Therefore, the given equation can be rearranged and written as,

x² - 2x - 35 = 0

x² - 7x + 5x - 35 = 0

Then, group the first two terms and second two terms

(x² - 7x) + (5x - 35) = 0

Take the biggest common number from the group, we get

x (x - 7) + 5 (x - 7) = 0

(x + 5) (x - 7) = 0

Separately equate the two values to zero, we get

x + 5 = 0, x - 7 = 0

x = - 5, 7

Answer:

The factors are x = - 5, 7

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Introduction to histogram definition online tutoring:

Histogram is an easy method to represent database. The histogram graphs are useful to compare the data that which one is high and low range. The histogram graphs have area of rectangles by representing frequencies. One of the most important source for students since students can easily access the materials for their related subjects; this can be achieved by online. Histogram chart is one of the quality tools. Tutoring helps to online relationship between students and staffs. Students get the information from the tutor. Here we are going to see about histogram definition online tutoring.

Histogram Definition Online Tutoring - Steps:

The following steps used to construct the histogram in definition of histogram tutoring:

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Step 1:

In histogram graph, the information ranges are dividing by equal intervals in a column. For example (0 to 5, 5 to 10, and 10 to 15)

Step 2:

We need to create x-axis and y-axis. X-axis represented by horizontal position and y-axis represented by vertical position.

Step 3:

Given data (class intervals) are plot into x-axis (horizontal position).

Step 4:

Given data (frequency) are plot into y-axis (vertical position).

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Geometry Helps for Kids

Learn three dimensions;
Here we are going to learn the three dimension objects, it has length, width and height it will be come under the category of solid geometry problems free , there are two types of solid geometry those are

• Polyhedra
• Non polyhedra

Polyhedra:
These kinds of shapes made up of the flat surfaces.
Example: triangular prism, tetrahedron
Non Polyhedra:
These kind of shapes have curved surfaces or it is the combination of mixed and flat surfaces so they are not Polyhedra
Example:
Sphere, torus
Example 6-geometry helps for kids
Which objects is used to measure the degrees?
Solution:geometry answers free
We can use the protractor to measure degree, the shape of the protractor is look like a below

from that we can measure the angle 50 degree it will be shown in the below diagram

online geometry homework help

Math is a Game

Euclid’s Definitions, Axioms and Postulates

Consider the three steps from solids to points (solids-surfaces-lines-points). In
each step we lose one extension, We can get online geometry tutor also called a dimension. So, a solid has threedimensions, a surface has two, a line has one and a point has none. Euclid summarized solved geometry problems these statements as definitions. He began his exposition by listing 23 definitions in
Book 1 of the ‘Elements’. A few of them are given below :

1. A point is that which has no part.
2. A line is breathless length.
3. The ends of a line are points.
4. A straight line is a line which lies evenly with the points on itself.
5. A surface is that which has length and breadth only.
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6. The edges of a surface are lines.
7. A plane surface is a surface which lies evenly with the straight lines on itself.

Permutation and combination

The permutation and combination takes place on different types of objects. The permutation of a different object is the number of different ways they can be ordered i.e. which is first, second, third, etc. If you desire to choose some objects from a larger number of objects, the way you place the chosen objects is also important. When comes to combination, on the other hand, one does not consider the order in which objects were selected or placed, just which objects were selected.

Also find more information on factoring trinomials

Permutation has two types:

• Permutation with Repetition.
• Permutation without Repetition.
  

Combination has two types:

• Combination with Repetition.
• Combination without Repetition.

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Explain Types of functions

Introduction:
            Function is defined as follows, considering two sets A and B. We form the Cartesian Product, we form relations. From all the relations, we can select a few which satisfy the rule that each element of the set A is related to only one element of the set B.
When a relation satisfies this rule, it is called a function.
Any relation on A x B in which (i) no two second elements have a common first element and (ii) every first element has a corresponding second element is called a function.
Understanding Types of Functions:
Linear functions:
 Linear functions are the functions in which the highest degree of x term is 1. There are 2 types of linear functions depending ion the operator between the variables.
Polynomial function:
The function which contains many terms is called as polynomials. Functions which contain 1 term is called as monomial, function which contain 3 terms is called as trinomial etc can be called as polynomial function.


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Understanding Geometry Circles

Introduction:

• A Circle is a simple shape of Euclidean geometry consisting of those points in a plane which are equidistant from a given set point called the center. The common distance of the points of a circle from its center is called its radius.

• Circles are simple closed curves which divide the plane into two regions, an interior and an exterior. In everyday use, the term "circle" may be used interchangeably to refer to either the boundary of the figure (also known as the perimeter) or to the whole figure including its interior.

• In this article of geometry circles formulas of circumference are discussed.

Geometry Circle Formulas for Circumference:

The pictorial representation showing circumference of circle is given below:

The Circumference of a circle in geometry can be calculated using the following formulas using coordinate geometry:
1) Circumference = 2`pi` r
2) Circumference = `pi` d
where r ----> radius of circle
d ----> diameter of circle.

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