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# How do you find the domain and range of 1/(x+1)?
Aug 5, 2015
Domain: $\left(- \infty , - 1\right) \cup \left(- 1 , + \infty\right)$
Range: $\left(- \infty , 0\right) \cup \left(0 , + \infty\right)$
#### Explanation:
The domain of the function will have to take into account the fact that the denominator of the fra... |
# Modelling a functional building
## Modelling a functional building
• Submitted By: Zzzoe
• Date Submitted: 04/02/2014 4:00 PM
• Category: Science
• Words: 1407
• Page: 6
Introduction:
In this task, the building with a roof structure shown above is initially assumed to have a rectangular base of 150m long and 7... |
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# A container opened from the top and made up of a metal sheet, is in the form of a frustum of a cone of height 16 cm with radii of its lower and upper ends as 8 cm and 20 cm, respectively. Find the cost of milk which can completely fill the container, at the rate of Rs 20 per ... |
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# Triangular Coordinate System
A packed figure which has three sides is known as triangle. Here we will see some properties of triangle. In a triangle the corner Point is known as the vertex of a triangle. In a triangle three vertices are present.
The distance measured around a triangle is... |
# 5.1: Exploring Area under the Curve
Difficulty Level: At Grade Created by: CK-12
This activity is intended to supplement Calculus, Chapter 4, Lesson 3.
## Problem 1 – Explore and discover
Graph the curve y=x2\begin{align*}y = x^2\end{align*}.
Your challenge is to think of at least two ways to estimate the area b... |
# Graphing Equations & Equations of Lines
GRAPHING EQUATIONS & EQUATIONS OF LINES Lesson 13.1 & 13.2 STRATEGIES TO GRAPH A LINE Make a table. Special lines Vertical lines Horizontal Lines Intercepts (x, 0) & (0, y) Slope-intercept form
MAKE A TABLE & GRAPH 2X 4Y = 10 x y -1 -3 0 1 -5/2 -2 2
-3/2 SPECIAL LINES: GRAPH... |
# Lesson Planning of Ordinal Numbers
Lesson Planning of Ordinal Numbers
Subject English
Students` Learning Outcomes
• Write ordinal numbers.
Information for Teachers
• When objects are placed in order, we use ordinal numbers to tell their position, i.e. first (1st) second, (2nd). This concept is helpful in descri... |
## How do you find the median of 7 numbers?
Add up all of the numbers and divide by the number of numbers in the data set. The median is the central number of a data set. Arrange data points from smallest to largest and locate the central number. This is the median.
## How do you calculate the median of a sample?
Th... |
# Probability Of Multiple Events – Conditions, Formulas, and Examples
The probability of multiple events is an interesting topic discussed in mathematics and statistics. There are instances where we’re observing multiple events and want particular results – when this happens, knowing how to calculate the probability o... |
INTRODUCING 5 - days-a-week problem solving session for Math Olympiad and ISI Entrance. Learn More
# List of numbers | RMO 2015, Chennai Region Solutions
This is a problem from the Regional Mathematics Olympiad, RMO 2015 Chennai Region based on a List of numbers.
Problem: From the list of natural numbers 1, 2, 3, … ... |
Algebraic Expressions - Class 7 Maths Chapter 4 Question Answer
Algebraic Expressions
Algebraic Expressions - Sub Topics
Algebraic expressions are a super useful part of algebra. It is where we start using letters and symbols to solve problems. It is like a middle ground between basic math with numbers and the tri... |
# Substitution equations solver
Apps can be a great way to help students with their algebra. Let's try the best Substitution equations solver. Our website can help me with math work.
## The Best Substitution equations solver
Best of all, Substitution equations solver is free to use, so there's no reason not to give ... |
Sequence and Series: Overview, Questions, Preparation
Sequence and Series 2021 ( Sequence and Series )
3.4K Views
Rachit Kumar SaxenaManager-Editorial
Updated on Jun 28, 2021 08:11 IST
What are the Sequence and Series?
The sequence is a collection of different objects arranged in such an orderly manner that it ca... |
Find the following products:
Question:
Find the following products:
(i) (x + 4) (x + 7)
(ii) (x − 11) (x + 4)
(iii) (x + 7) (x − 5)
(iv) (x − 3) ( x − 2)
(v) (y2 − 4) (y2 − 3)
(vi) $\left(x+\frac{4}{3}\right)\left(x+\frac{3}{4}\right)$
(vii) (3x + 5) (3x + 11)
(viii) (2x2 − 3) (2x2 + 5)
(ix) (z2 + 2) (z2 − 3)... |
Hough Line transform is a technique used to detect straight lines in an image. This algorithm can detect all imperfect instances of a line in a given image ie, this algorithm can detect lines even if they are not perfectly straight. The detection of line is carried out by a voting process. Before examining the algorit... |
$$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$ $$\newcommand{\kernel}{\mathrm{null}\,}$$ $$\newcommand{\range}{\mathrm{range}\,}$$ $$\newcommand{\RealPart}{\mathrm{Re}}$$ $$\newcommand{\ImaginaryPart}{\mathrm{Im}}$$ $$\newcommand{\Argument}{\mathrm{Arg}}$$ $$\newcommand{\norm}[1]{\| #1 \|}$$ $$... |
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# Chapter 2 Describing Distributions with Numbers. Numerical Summaries u Center of the data –mean –median u Variation –range –quartiles (interquartile range)
## Presentation on theme: "Chapter 2 Describing Distributions with Numbers. Numerical Summaries u Center of the data –mean... |
Arbitrary distribution using biased coin
Problem. Let’s assume that you have a biased coin, but you don’t know the probabilities of its sides. Using the coin, how would you choose one of the numbers 1, 2 or 3 with equal probability?
Stop reading here and try solving the problem yourself before moving on.
Solution. F... |
CBSE Class 9 Maths Revision Notes Chapter 14
Class 9 Mathematics Revision Notes for Statistics of Chapter 14
Mathematics Revision Notes for Class 9 Chapter 14 Statistics of Extramarks are curated by subject matter experts according to the NCERT curriculum. Students can refer to these notes for a conceptual understand... |
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Arya is 3 years older than Cindi, and Kim is double Cindi's age. Lenny is 5 years older than Kim. Lenny is 17 years old. How old is Arya?
Guest May 24, 2017
#3
+90055
+1
Arya is 3 years older than Cindi, and Kim is double Cindi's age. Lenny is 5 years older than Kim. Lenny is 17 years old. H... |
Paul's Online Notes
Home / Calculus I / Integrals / Computing Indefinite Integrals
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1. ## Power series question
We just started power series in class and I'm somewhat confused about them. I'm stuck on this particular problem. It says to make a power series for f(x) = x/(2x^2+1). What I did was to base it on geometric series so I convered the equation to look like 1/(1+x) so now it looks like x/[1-(-2... |
# Mean Absolute Deviation
JoVE Core
Statistik
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JoVE Core Statistik
Mean Absolute Deviation
##### Vorheriges Video4.10: Chebyshev’s Theorem to Interpret Standard Deviation
The mean absolut... |
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# Chapter 5: Probability: What are the Chances?
## Presentation on theme: "Chapter 5: Probability: What are the Chances?"— Presentation transcript:
Chapter 5: Probability: What are the Chances?
Section 5.3 Conditional Probability and Independence The Practice of Statistics, 4th ... |
# Chapter 11 Sequences and Series. 11.1 Arithmetic Sequences.
## Presentation on theme: "Chapter 11 Sequences and Series. 11.1 Arithmetic Sequences."— Presentation transcript:
Chapter 11 Sequences and Series
11.1 Arithmetic Sequences
Key Terms Sequence: an ordered list of numbers 1, 3, 5, 7, 9, …. Terms: the ... |
# Proof
Prove if $x,y,$ and $b$ are positive real values with $b \neq 1$, then
$$\displaystyle{\log_b \frac{x}{y} = \log_b x - \log_b y}$$
First note that we can evaluate $\log_b x$ and $\log_b y$, since $x,y,$ and $b$ are positive real values with $b \neq 1$. Let us denote these two values by $m$ and $n$, so that
... |
# 3- Quick start to False position method for roots finding.
### False position method.
The false position method is another numerical method for root finding, The same Solved problem, will be used to get the root for f(x), but this time using another method that is called false position, or regula -falsi, which can ... |
[ Home ]
How to multiply and divide common fractions.
This topic is part of the TCS FREE high school mathematics 'How-to Library'. It shows you how to multiply and divide common fractions. (See the index page for a list of all available topics in the library.) To make best use of this topic, you need to download the... |
# Chapter 14 Symmetry Class 7 Notes Maths
Chapter 14 Symmetry Class 7 Notes Maths is available here which will make entire memorizing process effortless and entertaining. NCERT Notes becomes a vital resource for all the students to self-study from NCERT textbooks carefully. Revision Notes for Class 7 will allows the s... |
# How do you differentiate y = -(1/x^2) - sqrtx + (1/2)?
Jun 13, 2018
$y ' = \frac{2}{x} ^ 3 - \frac{1}{2 \cdot \sqrt{x}}$
#### Explanation:
Writing
$y = - {x}^{- 2} - {x}^{\frac{1}{2}} + \frac{1}{2}$
After the rule
$\left({x}^{n}\right) ' = n {x}^{n - 1}$
we get
$y ' = 2 {x}^{- 3} - \frac{1}{2} {x}^{- \frac{1}{... |
## 502 – Formal systems (3)
September 4, 2009
Theorem 2 (Completeness) Whenever ${\Sigma\models\tau,}$ then also ${\Sigma\vdash\tau.}$
## 175 – Quiz 1
September 4, 2009
Here is quiz 1.
Problem 1 is exercise 6.1.16 from the book. (The graph in the book has a typo. The maximum height of the graph is $1/2$ rather th... |
\\\\\end{align*} Plane is a surface containing completely each straight line, connecting its any points. for example the of their line of intersection. c) {eq}4\vec{i} - 4\vec{j} + 10\vec{k} 15 ̂̂ 2 −5 3 3 4 −3 = 3 23 Any point which lies on both planes will do as a point A on the line. coordinates represent common poi... |
# Slope
The slope of a line is defined as the rise over the run, m = Δyx.
In mathematics, the slope or gradient of a line describes its steepness, incline, or grade. A higher slope value indicates a steeper incline.
The slope is defined as the ratio of the "rise" divided by the "run" between two points on a line, or... |
## Section12.2Completing the Square
In this section, we will learn how to âcomplete the squareâ with a quadratic expression. This topic is very useful for solving quadratic equations and putting quadratic functions in vertex form.
### Subsection12.2.1Solving Quadratic Equations by Completing the Square
When we h... |
# Consecutive Integers Formula
In mathematics, you often come across problem statements wherein you are required to find two or more consecutive integers if their sum or difference is given to you. A number of times the clause of these consecutive numbers being odd or even is also added. Before simplifying the problem... |
Definition and examples Joint variation | define Joint variation - Free Math Dictionary Online
# JOINT VARIATION
## Definition of Joint Variation
Joint variation is the same as direct variation with two or more quantities.
That is:
Joint variation is a variation where a quantity varies directly as the product of ... |
# Significant Figures
Lesson
In 2013 I attended the Liverpool friendly football game at the MCG in Melbourne, Australia. The crowd size was the second largest on record ever, reaching $95446$95446. When I saw a friend of mine soon after the game, she said a newspaper article had reported $95000$95000 crowd size and... |
# How do you find the vertical, horizontal or slant asymptotes for y=(x^2-5x+4)/ (4x^2-5x+1)?
Sep 20, 2017
$\text{vertical asymptote at } x = \frac{1}{4}$
$\text{horizontal asymptote at } y = \frac{1}{4}$
#### Explanation:
$\text{factorise and simplify}$
$y = \frac{\cancel{\left(x - 1\right)} \left(x - 4\right)}{\... |
# NCERT Solutions for Class 6 Maths Chapter 10 Mensuration Ex 10.1
These NCERT Solutions for Class 6 Maths Chapter 10 Mensuration Ex 10.1 Questions and Answers are prepared by our highly skilled subject experts.
## NCERT Solutions for Class 6 Maths Chapter 10 Mensuration Exercise 10.1
Question 1.
Find the perimeter ... |
# A Beginner’s Guide to Descriptive Statistics
Descriptive statistics is a branch of statistics that involves the collection, organization, analysis, interpretation, and presentation of data. It provides a way to summarize and describe the main features of a dataset, allowing us to gain insights and make informed deci... |
# Introducing Multiplication
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Keywords: Multiplication, Repeated Addition, Manipulatives Subject(s): Math Grades 2 through 4 School: Chimneyrock Elementary School, Cordova, TN Planned By: Amanda Loyacano Original Author: Amanda Loy... |
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# A tea party is arranged for 16 people along two sides of a long table with 8 chairs on each side. Four men wish to sit on one particular side and two on the other side, in how many ways can they be seated?
Last updated date: 13th Jul 2024
Total... |
Class 12 RD Sharma Solutions – Chapter 20 Definite Integrals – Exercise 20.1 | Set 3
Last Updated : 26 May, 2021
Question 45.
Solution:
We have,
I =
Let 2x + 1 = t2, so we have,
=> 2 dx = 2t dt
=> dx = t dt
Now, the lower limit is, x = 1
=> t2 = 2x + 1
=> t2 = 2(1) + 1
=> t2 = 3
=> t = √3
Also, the uppe... |
# How Many Quarters in 10 Dollars?
Last Updated on 10/14/2017 by GS Staff
[otw_shortcode_dropcap label=”A:” size=”large” border_color_class=”otw-no-border-color”][/otw_shortcode_dropcap] There are four quarters in one dollar. We can determine this by looking at the below table, which shows the value of one, two, thre... |
# Shape, Space and Measures
## Presentation on theme: "Shape, Space and Measures"— Presentation transcript:
Shape, Space and Measures
Teach GCSE Maths Shape, Space and Measures
The pages that follow are sample slides from the 113 presentations that cover the work for Shape, Space and Measures. A Microsoft WORD file,... |
# CLASS 10 MATH NCERT SOLUTIONS FOR CHAPTER – 3 Pair of Linear Equations in Two Variables Ex – 3.1
## Pair of Linear Equations in Two Variables
Question 1.
Aftab tells his daughter, “Seven years ago, I was seven times as old as you were then. Also, three years from now, I shall be three times as old as you will be”. ... |
Similarity of two triangles
## Objective
To establish the criteria for similarity of two triangles
## Prerequisite Knowledge
• Concept of congruence
• One-to-one correspondence
• Basic proportionality theorem
• Angle and Side measurement skills
## Theory
Two triangles are similar if:
• Their corresponding ang... |
# elementary results about multiplicative functions and convolution
One of the most important elementary results about multiplicative functions and convolution (http://planetmath.org/DirichletConvolution) is:
###### Theorem.
If $f$, $g$, and $h$ are arithmetic functions with $f*g=h$ and at least two of them are mult... |
# The water jug puzzle
Yossi Elran tells us about the water jug puzzle
Here is another well-known, medieval problem, also known as the ‘water pouring puzzle’.
You have an 8 litre jug full of water and two smaller jugs, one that contains 5 litres and the other 3 litres. None of the jugs have markings on them, nor do ... |
# Data Collection Mean, Mode, Median, & Range
Mathematical Terms Related to a Group of Numbers Data Collection Mean, Mode, Median, & Range Standard Deviation Mean = the average Consider your measurements as a set of numbers. Add together all the numbers in your set of measurements. Divide by the total number of values... |
# How do you estimate 5 1/3-3 5/6?
Apr 4, 2017
The estimate is $1$, which is the result of $5 - 4 = 1$
We can also see the actual value will be greater than one $\left(> 1\right)$
since $5 \frac{1}{3} > 5 \mathmr{and} 3 \frac{5}{6} < 4$
#### Explanation:
Given: $5 \frac{1}{3} - 3 \frac{5}{6}$
To estimate this exp... |
# How do you write the equation of a line through (0,3) and (-2,5)?
Nov 16, 2016
$y = - x + 3$
#### Explanation:
The equation of a line in $\textcolor{b l u e}{\text{slope-intercept form}}$ is.
$\textcolor{red}{\overline{\underline{| \textcolor{w h i t e}{\frac{2}{2}} \textcolor{b l a c k}{y = m x + b} \textcolor{... |
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# Tutor profile: Saida A.
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## Questions
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NCERT Solutions for Class 9 Maths Chapter 8 Quadrilaterals Ex 8.2
# NCERT Solutions for Class 9 Maths Chapter 8 Quadrilaterals Ex 8.2
NCERT Solutions for Class 9 Maths Chapter 8 Quadrilaterals Ex 8.2 are the part of NCERT Solutions for Class 9 Maths. In this post, you will find the NCERT Solutions for Chapter 8 Quadr... |
Real Numbers and the Number Line
Presentation on theme: "Real Numbers and the Number Line"— Presentation transcript:
Real Numbers and the Number Line
The numbers in the pattern are integers and their squares.
Table of Perfect Squares
Integer Perfect Square 1 2 3 4 5 6 7 8 9 10 Integer Perfect Square 11 12 13 14 15 1... |
In how many ways can 6 persons be arranged in
Question:
In how many ways can 6 persons be arranged in
(i) a line,
(ii) a circle?
Solution:
(i) Let choose 1 person from 6 by ${ }^{6} \mathrm{C}_{1}=6$ and arranged it in line
Now choose another person from remaining 5 by ${ }^{5} C_{1}=5$ and arranged it in line
S... |
# Financial Polynomials
May 29th, 2015
Studypool Tutor
Price: \$10 USD
Tutor description
On page 304, problem 90 says that P dollars is invested at annually interest rate r for 1 year. If the interest rate is compounded semiannually then the polynomial is P(1{+r/2)^2, which represents the value invested after 1 year... |
# BASIC ELEMENTS OF GEOMETRY
## Presentation on theme: "BASIC ELEMENTS OF GEOMETRY"— Presentation transcript:
BASIC ELEMENTS OF GEOMETRY
Think of geometry as a skyscraper. At its foundation are three basic terms: point, line and plane. These terms are used to define other geometric terms. All these terms are the stee... |
## Note on Angle between two lines
• Note
• Things to remember
• Videos
• Exercise
• Quiz
#### Angle between the lines y = m1 + c1 and y = m2 + c2 and y = m2x + c2
Let the equation of two lines AB and CD be y = m1x + c1 and y = m2x + c2 respectively.
let the lines AB and CD make angles θ1 and θ2 respectively with t... |
Checkout JEE MAINS 2022 Question Paper Analysis : Checkout JEE MAINS 2022 Question Paper Analysis :
# Geometric Tools: Description And Uses
Geometric tools are the instruments used to draw different types of geometric shapes. In Maths, geometry is the most crucial topic, where we learn about the shapes of objects. To... |
# How do you find the center and radius of the circle x^2+y^2+8x+4y+16=0?
Sep 1, 2016
Center: color(green)(""(-4,-2))
Radius: $\textcolor{g r e e n}{2}$
#### Explanation:
If a circular equation is written in the form:
$\textcolor{w h i t e}{\text{XXX}} {\left(x - \textcolor{red}{a}\right)}^{2} + {\left(y - \textcol... |
# General Equation of the Circle – Formula and Examples
## What is a Circle ?
A circle is the locus of a point which moves in a plane in such way that its distance from a fixed point(in the same given plane) remains constant. The fixed point is called center of circle and the constant distance is called radius of the... |
# Continuous Functions
A function is continuous when its graph is a single unbroken curve ...
... that you could draw without lifting your pen from the paper.
That is not a formal definition, but it helps you understand the idea.
Here is a continuous function:
## Examples
So what is not continuous (also called di... |
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# If 75 percent of m is equal to k percent of 25, where k > 0, what is the value of m/k ?A). $\dfrac{3}{{16}}$ B). $\dfrac{1}{3}$ C). $\dfrac{3}{4}$D). $3$E). $\dfrac{{16}}{3}$
Last updated date: 19th Sep 2024
Total views: 367.2k
Views today: 8.6... |
How to graph and solve systems of linear inequalities, using the double-number line?
Oct 9, 2017
Solving system of linear inequalities.
Using a double number-line to solve a system of 2 linear inequalities. (Math article written by Nghi Nguyen)
Explanation:
Example 1 . Solve the system:
2x - 3 < 11 (1)
3x > x + 6 (... |
# Eigenvalues and eigenvectors of a matrix
On this post we explain what the eigenvalues and the eigenvectors of a matrix are. You will also find examples of how to compute the eigenvalues and the eigenvectors of a matrix, and finally, you have problems with solutions solved step by step to practice.
## What are the e... |
# Assignment 1: Problems and Explorations with Graphing Functions and Relations
Graph the equation:
where |x| is the absolute value of x. Variations?
Exploration 1:
Here the graph shows the x and y intercepts to be - 1 and + 1. Recall that the graph of a circle with radius 1 is x^2 + y^2 = 1. The variation of this ... |
The area that wasn't subtracted (grey) is the area of the polygon. Area of the polygon = $$\dfrac{7 \times 5 \times 4.82}{2} = 84$$ sq. [48] If a convex quadrilateral has the consecutive sides a, b, c, d and the diagonals p, q, then its area K satisfies[34], From Bretschneider's formula it directly follows that the are... |
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# Working with Integers Practice Questions
(not rated)
## Introduction
The Tips for Working with Integers section that follows gives you some simple rules to follow as you solve problems with integers. Refer to them each time you do a problem until you don't need to look at them. That's when you can c... |
# The absolute maximum value of curve, f ( x ) = x cos x , 0 ≤ x ≤ π .
### Single Variable Calculus: Concepts...
4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805
### Single Variable Calculus: Concepts...
4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805
#### Solutio... |
# Perimeter of a Parallelogram – Formulas and Examples
The perimeter of a parallelogram is defined as the sum of the lengths of all the sides of the parallelogram. The perimeter of the parallelogram is similar to the perimeter of the rectangle. Therefore, by adding the lengths of the parallelogram, we can easily find ... |
# ML Aggarwal Solutions Class 9 Mathematics Solutions for Problems on Simultaneous Linear Equations Exercise 6 in Chapter 6 - Problems on Simultaneous Linear Equations
Question 36 Problems on Simultaneous Linear Equations Exercise 6
2 men and 5 women can do a piece of work in 4 days, while one man and one woman can f... |
Title
College Algebra
Tutorial 23B: Rational Inequalities
Learning Objectives
After completing this tutorial, you should be able to: Solve rational inequalities using a sign graph of factors. Solve rational inequalities using the test-point method.
Introduction
In this tutorial we will be looking at solving rati... |
Write a degree 3 polynomial with 4 terms polynomials
Example 8 Put the polynomial in descending order for x: We see that the end behavior of the polynomial function is: And to realize that there's no magic, you could just use the distributive property to multiply this out again, to multiply it out again, and you're go... |
You are on page 1of 5
HOW TO CALCULATE A
CORRELATION
Can one statistic measure both the
strength and direction of a linear
relationship between two variables?
Sure! Statisticians use the correlation
coefficient to measure the strength
and direction of the linear relationship
between two numerical
variables X and Y. T... |
# Counting
### Number of Elements in a Set
The number of elements in a set can be determined by systematic methods of counting.
An experiment is an activity involving chance in which the outcomes are used to estimate probability. When performing an experiment, like rolling a die or flipping a coin, there is a set of... |
# Math Snap
## تصشيل حقيقي (1) بطري If $b \in \mathbb{R}$ and $b \neq 0$ such that $\lim _{x \rightarrow c}(b f)$ exists, then $\lim _{x \rightarrow c} f$ exists. Select one: True False Previous page Jump to...
#### STEP 1
Assumptions 1. $b \in \mathbb{R}$ and $b \neq 0$ 2. $\lim_{x \rightarrow c}(b f(x))$ exists 3.... |
# 2023 AMC 10B Problems/Problem 11
## Problem
Suzanne went to the bank and withdrew $800$. The teller gave her this amount using $20$ bills, $50$ bills, and $100$ bills, with at least one of each denomination. How many different collections of bills could Suzanne have received?
$\textbf{(A) } 45 \qquad \textbf{(B) }... |
# Math in Focus Grade 3 Chapter 10 Practice 8 Answer Key Real-World Problems: Money
Practice the problems of Math in Focus Grade 3 Workbook Answer Key Chapter 10 Practice 8 Real-World Problems: Money to score better marks in the exam.
## Math in Focus Grade 3 Chapter 10 Practice 8 Answer Key Real-World Problems: Mone... |
# For the parabola x-3 = 1/8 (y+5)^2, what are the coordinates of the vertex and focus and directrix?
Jun 24, 2018
Vertex: $\left(3 , - 5\right)$
Focus: $\left(5 , - 5\right)$
Directrix: $x = 1$
#### Explanation:
First off, we should recognize that this graph opens to the right. This will be important later. To fin... |
### Understanding Quadrilaterals - Solutions 1
CBSE Class –VIII Mathematics
NCERT Solutions
CHAPTER - 3
1. Given here are some figures:
Classify each of them on the basis of the following:
(a) Simple curve
(b) Simple closed curve
(c) Polygon
(d) Convex polygon
(e) Concave polygon
Ans. (a) Simple curve
(b) Simple clos... |
Understanding Scale Factor: If ABC DEF, What Is The Scale Factor?
When it comes to geometry and mathematics, various concepts and formulas need to be understood to solve problems. One such important concept is scale factor. If you are trying to determine the proportional relationship between two similar objects or fig... |
# CREATFX STUDIO
## Step 3: Finding the Sin and Cos from a certain Direction
Step 3: Finding the Sin and Cos from a certain Direction
Introduction: Trigonometry. Which Instructable are in the first place intended for the fresh ninth students within DIS, however, anyone is welcome to understand Trigonometry. In this ... |
# NCERT Solutions for Class 12 Maths Chapter 7 - Integrals - Exercise 7.5
Exercise 7.5
Integrate the rational functions.
$$\textbf{1.}\space\frac{\textbf{x}}{\textbf{(x+1)(x+2)}}\\\textbf{Sol.}\space\text{Let}\space\text{I}=\int\frac{x}{(x+1)(x+2)}dx\\\text{Let,}\space\frac{x}{(x+1)(x+2)}\\\frac{\text{A}}{(x+1)}+\fr... |
# 1.07 Order 3 digit numbers
Lesson
## Ideas
Before we begin looking at ordering numbers, and working out which numbers are the largest or smallest we need to remember how to identify the value of the digits in our number.
### Examples
#### Example 1
State the value for the underlined digit.
Worked Solution
Crea... |
# 2008 AMC 12B Problems/Problem 17
## Problem
Let $A$, $B$ and $C$ be three distinct points on the graph of $y=x^2$ such that line $AB$ is parallel to the $x$-axis and $\triangle ABC$ is a right triangle with area $2008$. What is the sum of the digits of the $y$-coordinate of $C$?
$\textbf{(A)}\ 16\qquad\textbf{(B)}... |
# Problem of the Day: 1/13/13
Jemma’s sock drawer is a mess. She has four types of socks—four pairs each of pink, navy with yellow stripes, black with polka-dots, and purple/green argyle—all jumbled up together. Her dress principles require that she always wear two socks of different colors, however. How many socks mu... |
Day 3 – Proportions, Similar Triangles
TEXT: Elementary College Geometry by Africk
Geometry Labs by Henri Picciotto. Videos from Khan Academy.
A ratio is just a fancy name for a comparison between 2 quantities, usually with the same units. For instance, the ratio of the mass of the earth to that of the moon is about... |
# How to Calculate the Surface Area of Pyramids and Cones
The mysteries of the ancient pyramids and the delicious appeal of an ice cream cone have one thing in common - their distinctive shapes! Beyond their allure and history, pyramids and cones are geometric wonders. How much space does their surface cover? What mat... |
Operations with Decimals
```GRADE 6
Operations
with
Decimals
WORKSHEETS
Multiplying and dividing by powers of ten
Move the decimal point depending on the number of zeros.
= decimal point moves right
1
= decimal point moves left
Calculate these multiplication and division questions involving powers of 10:
a 5 # 1, 000
... |
# Methods and Operations
Methods, hopefully more to come than just this one so far (discovered from work done in a post) combined with a math operation.
1. Take outer integers and combine, do the same with inner integers, perform an operation…eg, 3885 -> 35 and 88 ( see 3885 plus mirror 777 for the origin of this ide... |
How to divide 2 fractions. Fraction help.
Updated on March 27, 2013
Dividing Fractions Video
The division of fractions can be carried out using the following three steps:
Step B Turnover the second fraction (swap the numerator and denominator around).
Step C Next multiply the numerators and denominators to get you... |
# In a Survey It Was Found that 21 Persons Liked Product P1, 26 Liked Product P2 and 29 Liked Product P3. If 14 Persons Liked Products P1 and P2; - Mathematics
In a survey it was found that 21 persons liked product P1, 26 liked product P2 and 29 liked product P3. If 14 persons liked products P1 and P2; 12 persons like... |
New Zealand
Level 8 - NCEA Level 3
# Addition and Subtraction of Complex Numbers
Lesson
Complex numbers can be added and subtracted very easily, following the normal laws of algebra.
We must only add and subtract like terms.
And in complex numbers, like terms are the real parts and the imaginary parts.
Let's look... |
# Focus on Math
## Helping children become mathematicians!
### Addition and Subtraction: A Really Big IdeaOctober 25, 2011
Much of what students do in mathematics across the years involves four basic operations: addition, subtraction, multiplication, and division. Within these four operations we really can consider ... |
# How do you find the axis of symmetry, and the maximum or minimum value of the function y = x^2 + 4x + 4?
Feb 10, 2016
The axis of symmetry is x = -2
The minimum of the function is 0
#### Explanation:
The formula for the axis of symmetry is given by $x = - \frac{b}{2 a}$
where the quadratic is $y = a {x}^{2} + b x... |
#### Please Solve R.D.Sharma class 12 Chapter 9 Differentiability Exercise 9.2 Question 2 Maths textbook Solution.
Answer: $f'\left ( 5 \right )=2\: f'\left ( \frac{7}{2} \right )\Rightarrow L.H.S=R.H.S$
Hint: First we will f (x) then put x = 5 and x = $\frac{7}{2}$ in f (x). Then, we will check L.H.S and R.H.S are ... |
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Ex.1.5 Q2 Number System Solution - NCERT Maths Class 9
Go back to 'Ex.1.5'
Question
Simplify each of the following expressions
(i) $$(3 + \sqrt 3 )\,(2 + \sqrt 2 )$$
(ii) $$(3 + \sq... |
# Can You Get a Negative out of a Square Root?
Unrivaled math delimiters. Including last one for you.
The basic answer is: yes you can get negative numbers out of square roots. Truth be told, should you wish to locate the square base of any positive genuine numbers, you will get two outcomes: the positive and negativ... |
# Making New Functions
Algebra students usually learn at some point in their studies that you can dilate a function like $$\mathtt{f(x)=x^2}$$ by multiplying it by a constant value. Usually the multiplier is written as $$\mathtt{A}$$, so you get $$\mathtt{f(x)=Ax}$$, which can be $$\mathtt{f(x)=2x^2}$$ or $$\mathtt{f(... |
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