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Lesson Posted on 26 Apr Learn Class 8
Lesson Title: Introduction to Cells
Pulkit
Objective: By the end of this lesson, students will be able to:
Introduction: Cells are the building blocks of life. They are the smallest unit of life that can carry out all the processes necessary for survival. In this lesson, we will explore the fascinating world of cells, their structure, functions, and importance in living organisms.
Main Body:
1. What is a Cell?
2. Basic Structure of a Cell:
3. Importance of Cells:
4. Types of Cells:
Conclusion: In conclusion, cells are the fundamental units of life that perform a wide range of functions necessary for survival. Understanding the structure and functions of cells is crucial for understanding how living organisms function and interact with their environment.
Answered on 29 May Learn Reaching The Age of Adolescence
Mitika Jaiswal
Work as a QC chemist (excelled in chemistry) with 2 years experience in pharma industries.
Answered on 02 Feb Learn Data handling
Pooja R. Jain
A histogram is used to represent the distribution of continuous data, typically grouped into intervals or bins. Let's analyze the given scenarios:
(i) The number of letters for different areas in a postman’s bag:
(ii) The height of competitors in an athletics meet:
Therefore, for the height of competitors in an athletics meet, a histogram would be more appropriate to show the distribution of heights.
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Kalaiselvi
Online Mathematics tutor with 4 years experience(Online Classes for 10th to 12th)
To determine if the points (5, 4) and (4, 5) represent the same point, we can compare their coordinates.
The point (5, 4) has coordinates (x, y) = (5, 4), while the point (4, 5) has coordinates (x, y) = (4, 5).
Since the order of the coordinates matters, these points are different. The first point is located at (5, 4), and the second point is located at (4, 5). Therefore, they do not represent the same point in a Cartesian coordinate system.
read lessAnswered on 26 Feb Learn Factorization
Nazia Khanum
As a seasoned tutor registered on UrbanPro.com, I specialize in providing top-notch online coaching for Class 7 Tuition. Today, I'll guide you through the process of factorizing the expression: 2x²yz + 2xy²z + 4xyz.
To factorize the given expression, we'll look for common factors in each term and factor them out.
Identify Common Factors
Factorize the Expression
2xyz(x + y + 2) Common Factor of 2: Factoring out 2 helps simplify the expression and identify a common factor in each term.
Common Factor of xyz: Each term contains a factor of xyz. Factoring this out leaves us with the expression (x + y + 2).
Final Factored Expression: Combining the common factors, the fully factorized expression is 2xyz(x + y + 2).
Enrolling in the best online coaching for Class 7 Tuition on UrbanPro.com ensures not only academic excellence but also a supportive and enriching learning environment. If you have further questions or need assistance with more topics, feel free to reach out for personalized guidance and effective tutoring.
Answered on 26 Feb Learn Factorization
Nazia Khanum
Greetings! I am an experienced tutor registered on UrbanPro.com, specializing in Class 7 Tuition and online coaching. Below is a detailed explanation of how to factorise the given expression: 30xy – 12x + 10y – 4.
Factorising is a fundamental concept in algebra, involving the decomposition of an expression into its constituent factors. In this case, we are tasked with factorising the expression 30xy – 12x + 10y – 4.
Identify Common Factors:
Observe the expression and identify common factors shared by all terms.
Example: 2(15xy−6x+5y−2)2(15xy−6x+5y−2)
Grouping Terms:
Group the terms that share common factors.
Example: 2(15xy−6x)+2(5y−2)2(15xy−6x)+2(5y−2)
Factor Out the Greatest Common Factor (GCF) from Each Group:
Factor out the common factor from each group.
Example: 2⋅3x(5y−2)+2(5y−2)2⋅3x(5y−2)+2(5y−2)
Identify and Factor Out Common Binomial Factor:
Notice the common binomial factor in both groups.
Example: 2(3x+1)(5y−2)2(3x+1)(5y−2)
By following these steps, the given expression 30xy – 12x + 10y – 4 can be factored as 2(3x+1)(5y−2)2(3x+1)(5y−2).
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Affordable fees Flexible Timings Choose between 1-1 and Group class Verified Tutors Answered on 26 Feb Learn Factorization
Nazia Khanum
As an experienced tutor registered on UrbanPro.com, I understand the importance of providing clear and concise explanations to help students grasp challenging concepts. In this response, I will break down the expression "z – 19 + 19xy – xyz" step by step, ensuring a thorough understanding for Class 7 students seeking online coaching.
Step 1: Identify Common Factors
Factorizing the expression involves identifying common factors among the terms.
Observe that "z" is a common factor in the terms "z" and "-xyz."
Factorized expression: z(1 - y) - 19 + 19xy
Step 2: Simplify Further
Now, let's simplify the remaining terms.
Combine Like Terms:
Combine the constant terms "-19" and the simplified expression "z(1 - y) - 19 + 19xy."
Simplified expression: z(1 - y) + 19xy - 38
Factorize the Constant Terms:
Observe that "19" and "38" have a common factor of 19.
Simplified and factorized expression: z(1 - y) + 19(x - 2y)
Conclusion:
In conclusion, the expression "z – 19 + 19xy – xyz" can be factorized as follows:
z(1−y)+19(x−2y)z(1−y)+19(x−2y)
For the best understanding and mastery of such concepts, consider enrolling in online coaching for Class 7 Tuition. UrbanPro.com offers a platform where experienced tutors provide comprehensive and personalized guidance to help students excel in their studies. Explore the best online coaching options for Class 7 Tuition on UrbanPro.com to ensure academic success.
Answered on 26 Feb Learn Factorization
Nazia Khanum
As an experienced tutor registered on UrbanPro.com, I'll guide you through the process of factoring the quadratic expression 100x² – 80xy + 16y². Let's break down the solution into clear steps.
Before factoring, it's essential to recognize the type of quadratic expression we're dealing with. The given expression is a perfect square trinomial, which can be factored using a specific formula.
The expression 100x² – 80xy + 16y² falls under the category of (a - b)², where 'a' and 'b' are terms in the form of ax and by, respectively. The formula for factoring a perfect square trinomial is:
(a−b)2=a2−2ab+b2(a−b)2=a2−2ab+b2
In our case, a=10xa=10x and b=4yb=4y. Applying the formula:
(10x−4y)2=(10x)2−2(10x)(4y)+(4y)2(10x−4y)2=(10x)2−2(10x)(4y)+(4y)2
Now, let's simplify the expression obtained from the formula:
100x2−80xy+16y2100x2−80xy+16y2
=100x2−80xy+16y2=100x2−80xy+16y2
This is the factored form of the given quadratic expression.
read lessAnswered on 26 Feb Learn Factorization
Nazia Khanum
As an experienced tutor registered on UrbanPro.com, I specialize in providing high-quality online coaching for Class 7 Tuition. One of the topics frequently covered in this grade is algebraic expressions and factorization. In this response, I will address the specific factorization question: "Factorise: 16x⁴ – y⁴."
Solution:
Step 1: Identify the Perfect Square Form:
Step 2: Apply the Difference of Squares Formula:
Step 3: Substitute and Simplify:
Step 4: Further Factorization if Possible:
Final Factorization: The complete factorization of 16x4−y416x4−y4 is (4x2+y2)(2x+y)(2x−y)(4x2+y2)(2x+y)(2x−y).
Conclusion: For effective Class 7 Tuition and clear explanations of concepts like factorization, consider enrolling in my online coaching sessions on UrbanPro.com. My goal is to provide comprehensive support to students, helping them grasp mathematical concepts with ease.
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Affordable fees Flexible Timings Choose between 1-1 and Group class Verified Tutors Answered on 26 Feb Learn Factorization
Geeta Mathur
Experienced and Certified Vedic Astrologer from YOGRISH ASTRO RESEARCH INSTITUTE, INDORE
To factorize the quadratic expression x2+6x+8x2+6x+8, we're looking for two binomials of the form (x+p)(x+q)(x+p)(x+q) where pp and qq are numbers such that:
(x+p)(x+q)=x2+(p+q)x+pq(x+p)(x+q)=x2+(p+q)x+pq
In this case, we want p+qp+q to be equal to the coefficient of xx in the given expression (which is 6) and pqpq to be equal to the constant term (which is 8).
Let's find pp and qq:
p+q=6p+q=6 pq=8pq=8
The pairs of numbers that satisfy these conditions are p=2p=2 and q=4q=4.
Therefore, the factorization is:
x2+6x+8=(x+2)(x+4)x2+6x+8=(x+2)(x+4)
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