Introduction to algebra of parallel lines

Introduction to algebra  of parallel lines:

Definition of parallel lines:

The algebra parallel lines do not intersect each other.
Standard form of equation of a line is
                      y = mx + c

           Y = m1 x + c ---- equation of line 1

           Y = m2 x + c ---- equation of line 2

           M1 = slope of line 1

           M2 = slope of line 2

  Slope of lines must be same for the lines to be parallel.
   The condition of a line to be parallel m1 = m2

Concept of Parallel Lines :

 The two distinct lines have a common point, then the lines are called intersecting lines. If the two distinct lines in a plane have no point in common that is intersecting, then the two lines are called non-intersecting lines. Two non-intersecting lines are also called as parallel lines.

Algebra Parallel Lines:examples

1. Y = 4x + 64, 4y = 6x + 1 identify the two lines are parallel or not.

Solution:Condition for the two lines to be parallel the slope of lines must be same

The standard form of the equation of line is   

                              Y = mx + c

By comparing the first equation with the standard form, we get slope of line1 (m1) = 4.

By comparing the equation 2 with the standard form we get the slope of the line2 (m2) = 3/2.

 As per the condition for parallel line m1 must be equal to m2.Here the m1 is not equal to m2.

The two lines are not parallel. The slopes of two lines are not same so the two lines are not parallel lines.

2.Y = 4x + 6, 4y = 16x + 12 identify the two lines are parallel or not.

Solution:Condition if the two lines to be parallel line the slope of lines must be same or equal

The standard form of the equation of line is

                             Y = mx + c

By comparing the first equation with the standard form, we get slope of line1 (m1) = 4.

By comparing the equation 2 with the standard form we get the slope of line1 (m2) = 4

As per the condition for parallel line we get it as m1 = m2.

                                   4 = 4

The slopes of two lines are same so the two lines are parallel lines.

Introduction to prism definition for kids

Introduction to prism definition for kids:-

               The articles generally explain the basics of prism definition based topic and problems also. This article help the kids based diagram and simple kids’ problems shown here.   A prism has two parallel sides with congruent lengths. Those 2 parallel sides form the basis of the prism. Prism is a 3D purpose. Prism is confidential as based on its base shape.

Prism Definition for Kids Types and Formulas:

Types of prism for kids:

Types of prism:

• Rectangular prism
• Triangular prism

• Pentagonal prism

Basic formula on prism definition for kids:- 

Rectangular prism for kids:-

       Rectangular prism = length * width * height

Triangular prism for kids:-

       Triangular prism = (1/ 2) * base * height * length

Pentagonal prism for kids:-

      Pentagonal prism = area of base * height

Example Problems - Prism Definition for Kids:-

Prism definition for kid’s problem 1:

         Get the volumes of the place rectangular prism with the length is 9 cm, width is 30 cm, and height is 10 cm.

Solution:

           Given, length (l) = 9 cm, width (w) = 30 cm, height (h) = 10 cm.

           Formula:

                   Rectangular prism = length * width * height

           Substitute the specified values in the above equation, we get

                                Volume = 9 * 30 * 10 cm³

                                               = 2700 cm³

           The volume of the rectangular prism is 2700 cm³

Prism definition for kid’s problem 2:-

            The base and length of the triangular prism is 12 cm and 26 cm. The height of the triangular prism is 18 cm. get the volume of the triangular prism.

Solution:

            Given, base (b) = 12 cm, length (l) = 26 cm, height (h) = 18 cm

             Formula:

                       Triangular prism = (1 / 2) * base * height * length

            Substitute the given values in the above equation, we get

                                                                   = (1 / 2) * 12 * 26 * 18 cm³

                                                                   = 2808 cm³

            The volume of the triangular prism is 2808 cm³

Prism definition for kid’s problem 3:-

            Area of the base of the pentagonal prism is 20 cm² and height of the pentagonal prism is 12 cm.

Solution:-

            Given, Area of base = 20 cm², height = 12 cm.

            Formula:

               Pentagonal prism = area of base * height

            Substitute the given values in the above formula, we get

                              Volume = 20 * 12 cm³

                                             = 240 cm³

             The volume of the pentagonal prism is 240 cm³

Prism definition for kid’s problem 4:-

            The base and length of the triangular prism is 12 cm and 4 cm. The height of the triangular prism is 7 cm. get the volume of the triangular prism.

Solution:

            Given, base (b) =12 cm, length (l) = 4 cm, height (h) = 7 cm

           Formula:

                    Triangular prism = (1 / 2) * base * height * length

           Substitute the specified values in the above equation, we get

                                             = (1 / 2) * 12 * 4 * 7 cm³

                                             = 168 cm³

           The volume of the triangular prism is 168 cm³

Introduction to equivalent ratios calculator

Introduction to equivalent ratios calculator:

               Let we discuss about calculator of equivalent ratios. Ratio can be used to portraying how two quantities will relate. For example, we will say that apple squash can be mixed with water in ratio 2:5. That means, for each 2 part squash, there will want to add 5 parts of water. If two ratios should have same value when they are simplified in calculation. These ratios are known as Equivalent Ratios Calculator.

More about Equivalent Ratios:

Calculator of equivalent ratios:

• Ratio of apple squash to water in the above example above is 2:5.
• We can write this ratios as but this could be written as 200:500, or 20:50, or 4:10.
• These are the equivalent ratios since the ratios are having the similar meaning.
• Any of the ratio, the meaning is "the amount of water should be equal to the six times amount of squash".

Examples of Equivalent Ratios Calculator:

• 1 / 3 and 3 / 6 both are equivalent ratios. Because they are representing same fraction number.
• Two ratios 6 :42 and 1 : 7 are the equivalent ratios.
• There are 9 dolls for every 54 children in a school. Therefore, ratio of the number of children to the dollars = 54:9 = 6:1.

Example Problems on Equivalent Ratios:

Example 1:

Calculate 120 : 360 in simplest form.

Solution:

Given, 120:360

Dividing of both sides by 4 =>  30:90

Dividing of both sides by 3 => 10:30

Dividing of both sides by 2 => 5:15

Dividing both sides in ration by 5, then we get, 1:3

Therefore, simplest form of 120:360 is 1:3

Example 2:

Cricket game has 2 winners for every 5 losers. Find three equivalent ratio for winners to losers.

Solution:

Ratio of winner to loser = 2 / 5

1. Multiplying 2 in both numerator and also denominator of  ratio 2 / 5

              Ratio will be, 4 / 10

2.Mutiplying 3 in both numerator and denominator of ratio 2 / 5

              Ratio will be, 6 / 15

3.Mutiplying 4 in both numerator and denominator of the ratio 2 / 5

              Then the ratio will be, 8 / 20

Answer:

                Equivalent ratios of 2 / 5 are 4 / 10 , 6 / 15 and 8 / 20

Quadrilaterals

Let's learn in today's post about quadrilaterals.

First let's understand what are quadrilaterals. Quadrilaterals are geometrical shape formed by four line segments. There are different types of quadrilaterals and below are few of these namely:

• Rectangle
• Square
• Rhombus
• Parallelogram
• Trapezium

Next time i will help you with some other topic such as quadrants. You also can connect with an online tutor and get further help with this topic. Not just in geometry but one gets help with calculus tutoring as well.

Do post your comments.

Types of Fractions

Let's learn about the types of fractions today. Fraction is a rational number that has a numerator and a denominator. There are three different types of fractions: proper fraction, improper fraction and mixed fraction.

Proper fraction is that where numerator is smaller than the denominator. Improper fraction is that where denominator is greater than the numerator. On the other hand mixed fractions, also known as mixed numbers are where a fraction and a whole number is mixed.

Example of proper fraction: 2/3
Example of improper fraction: 3/2
Example of mixed fraction: 1 2/3

For more help in this concept, one can also avail to an online tutor. Not just fractions help but one can gain help from calculus tutors and so on as well.

Next time we will discuss on some other concept. Till then enjoy practicing examples based on the different types of fractions. Also do post your comments.

WORKING WITH EQUATIONS

The study of Equations is an important topic under Algebra. It deals with solving equations and solving for the values of unknown variables. Equations are defined as algebraic expressions or mathematical expressions separated by an '=' sign. The equation therefore consists of 2 parts i.e. the L.H.S (Left Hand side) and R.H.S.(Right hand side).
There are different types of Equations based on the exponent of the variables in the equations:

• Linear Equations
• Quadratic equations
• Polynomial equations

There are different method too adopted for solving different equations. For solving Linear equations 2 methodologies can be followed:

• By solving simultaneous equations
• By substitution method

Linear equations can also be solved by graphing. Students can learn to how to plot the graph of linear equations with one variable.
With respect to Polynomials, students can learn about their characteristics and learn about factoring polynomials.

STUDYING ALGEBRA

Algebra is an important branch of Math that deals with the study the rules of operations and relations, and the constructions and concepts arising from them, including terms, polynomials, equations and algebraic structures. It also consists of the study of Integrated algebra.

Students often find difficulty in solving Algebra problems which involve algebraic equations and variables. It is important for students to understand the concepts clearly to solve problems on their own. Online tutoring has been playing a major role in aiding students with understanding subjects better and solving problems under the subject.

As the process is online, it becomes an interactive session. The students can clarify their doubts immediately and also ask questions regarding the methodologies adopted for various computations. It is often grade specific also ensuring the complexity levels are matched.

Students may get specific Algebra 2 homework help from online tutors to solve their homework problems. They can also get help with Algebra 1 online.