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## Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
$y = \dfrac{1}{2}x + \dfrac{3}{2}$
With lines that are perpendicular to each other, the product of their slopes is $-1$; one slope is the negative reciprocal of the other. If we want to find the slope of a line that is per... |
# What are the prime numbers from 1 to 100
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In this new lesson that we bring you from unProfesor, we are going to study an essential topic in mathematics, which deals with prime numbers. To do this, we will start by defining the concept of a prime number, so that later we can see the list of pri... |
# Eigenvalues and Eigenvectors
Part Of: Algebra sequence
Followup To: An Introduction to Linear Algebra
Next Up: Singular Value Decomposition
Content Summary: 1300 words, 13 min read
Geometries of Eigenvectors
Matrices are functions that act on vectors, by mapping from row-vectors to column-vectors. Consider two ex... |
## What are the 5 algebraic identities?
Some Standard Algebraic Identities list are given below:
• Identity I: (a + b)2 = a2 + 2ab + b2
• Identity III: a2 – b2= (a + b)(a – b)
• Identity IV: (x + a)(x + b) = x2 + (a + b) x + ab.
• Identity V: (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca.
• Identity VI: (a + b)3 = a3... |
# Apply and interpret upper and lower bounds
If a value is rounded, its upper or lower bound as appropriate should be used when finding the largest or smallest possible answers to a calculation.
### Examples
A bag of flour has a mass of 1500 g (to the nearest 10 g). Find the upper bound for the mass of 10 bags of fl... |
During AMC testing, the AoPS Wiki is in read-only mode. No edits can be made.
# Difference between revisions of "2009 AMC 10B Problems/Problem 21"
## Problem
What is the remainder when $3^0 + 3^1 + 3^2 + \cdots + 3^{2009}$ is divided by 8?
$\mathrm{(A)}\ 0\qquad \mathrm{(B)}\ 1\qquad \mathrm{(C)}\ 2\qquad \mathrm{(... |
# Solve Equations of the Quadratic Form - Tutorial
This is a tutorial on solving equations which may be reduced to quadratic form. Detailed solutions and explanations are included. ReviewA quadratic equation has the form ax 2 + bx + c = 0 with a not equal to 0. There are several methods to solve quadratic equations. ... |
Jeannette Mitchell. 17. Played 0 times. The solution to the given inequality will be … of 5 is 5. This translates to “4 x – 2 is 8 units from zero on the number line” (see Figure 2). Absolute value of negative E.g. On this page, you will find worksheets on plotting integers on a number line, ordering integers, using a ... |
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# How to write a linear equation in standard form with fractions
Whatever you do to one side of the equation, you must do to the other side! Our first step is to eliminate the fractions, but this becomes a little more difficult when the fractions have different denominators!
The usual approach to this problem is to f... |
## How Computers Generate Random Numbers - Chapter 2
Chapter 1 Chapter 3
## 2.0 INFERENTIAL STATISTICS
Up until now we have been dealing with probability theory. We started with a chance experiment in which the probability of each result is given, and then worked our way forward to find out what... |
# How do you graph and solve system of linear equations in two variables?
## How do you graph and solve system of linear equations in two variables?
1. Step 1: Graph the first equation.
2. Step 2: Graph the second equation on the same coordinate system as the first.
3. Step 3: Find the solution.
4. Step 4: Check the ... |
How to Find Inflection Points
Welcome, Zeromedia, to the World of Inflection Points
Daftar Isi
Halo, Zeromedia! Inflection points are a critical aspect of calculus. They are where the curvature of a graph changes direction, either from concave up to concave down or vice versa. But finding inflection points can be a ... |
# How to solve equations by graphing
When you see an equation on a worksheet, you might think that you have to solve the equation by plugging and graphing. However, this is rarely the case. Graphing equations is essential when you need to visualize how the numbers relate to each other.
## How can we solve equations b... |
Collapsing states into an absorbing state
This post discusses the technique of collapsing a set of states into an absorbing state to order to make certain Markov chain problems easier. We motivate the technique with the following examples. The method discussed here is to raise the new transition probability matrix (th... |
# Question Video: Finding the Length of the Projection of a Vector on Another Vector Mathematics • 12th Grade
The cube shown has sides of length 44/17. Find the scalar projection of ππ onto ππ, giving your answer correct to two decimal places.
04:10
### Video Transcript
The cube shown has sides of lengt... |
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# When rock was placed in a graduated cylinder containing water What do you think will happen to the rock?
## When rock was placed in a graduated cylinder containing water What do you think will happen to the rock?
Explanation: The idea here si that the volume of the rock will ... |
# How do you divide (x^3-9x^2+27x-28)div(x-3) using synthetic division?
Jul 11, 2018
The remainder is $= \left(- 1\right)$ and the quotient is $= \left({x}^{2} - 6 x + 9\right)$
#### Explanation:
Let's perform the synthetic division
$\textcolor{w h i t e}{a a a a}$$3$$|$$\textcolor{w h i t e}{a a a a}$$1$$\textcol... |
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# NCERT solutions for Class 11 Mathematics Textbook chapter 1 - Sets [Latest edition]
Textbook page
## Chapter 1: Sets
Ex. 1.1Ex. 1.2Ex. 1.3Ex. 1.4Ex. 1.5Ex. 1.6Ex. 1.7
#### NCERT solutions for Class 11 Mathematics Textbook Chapter 1 Sets Exercise 1.1 [Pages 4 - 5]
Ex. 1.1 | Q 1.1 | Page 4
Which of the fol... |
1. ## 3 coins
If 3 coins are thrown, the probability to have exactly two heads is:
a) 3/8
b) 2/6
Explain.
2. $\begin{pmatrix}3\\2\end{pmatrix}p^{2}q$
Where p=q=.5
You could try expanding $(p+q)^{3}$ and looking at the binomial expansion.
3. Is there an easier way to find out the answer, is it that hard?
4. That... |
Ex 3.2
Chapter 3 Class 10 Pair of Linear Equations in Two Variables
Serial order wise
### Transcript
Ex 3.2, 1 Solve the following pair of linear equations by the substitution method. (iii) 3x – y = 3 9x – 3y = 9 3x – y = 3 9x – 3y = 9 Solving (1) 3x – y = 3 3x = y + 3 x = (𝒚 + 𝟑)/𝟑 Putting value of x in (2) 9x –... |
# Tan 90 Degrees
The value of tan 90 degrees is not defined. In Trigonometry, Sine, Cosine and Tangent are the three primary ratios, based on which the whole trigonometric functions and formulas are designed. Each trigonometric functions have their equivalent importance. Basically, these ratios are used to find the an... |
# How do you factor x^3-2x^2-4x+8?
##### 2 Answers
Feb 25, 2017
${x}^{3} - 2 {x}^{2} - 4 x + 8 = {\left(x - 2\right)}^{2} \left(x + 2\right)$
#### Explanation:
Note that the ratio of the first and second terms is the same as that of the third and fourth terms. So this cubic will factor by grouping:
${x}^{3} - 2 {x... |
# Binary numbers
Martin McBride, 2017-02-21
Tags binary denary place values
Categories data representation numbers
Computers use binary to represent numbers. Binary is similar to our normal denary (base 10) number system, but it uses base 2. This means that place values work slightly differently.
## Denary (base 10)... |
# For what values of x, if any, does f(x) = tan((5pi)/4-x) have vertical asymptotes?
Feb 27, 2018
$f \left(x\right)$ has vertical asymptotes at $\ldots . \frac{3 \pi}{4} , - \frac{\pi}{4} , - \frac{5 \pi}{4} , \ldots$
We can say that $f \left(x\right)$ is undefined for any applicable $\frac{3 \pi}{4} + n \pi$, wher... |
# Mathematics - Combination (Binomial coefficient|n choose k)
A combination is a selection of elements from a set where the order of selection does not matter.
Order doesn't matter means that the selections AB and BA are considered a single combination (a single selection).
If the order does matter such as in a digi... |
Question
# A sum of INR 2800 is to be used to award four prizes. If each prize is INR 200 less than the proceeding prize, find the value of each of these prizes.
Hint: This is a simple arithmetic problem. We will assume the first prize as some variable. Then other three prize values can be considered based on the giv... |
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# Product Rules for Exponents Worksheet, Definition, and Examples
Get the free Product Rule for Exponents worksheet and other resources for teaching & understanding solving the Product Rule for Exponents
Multiplying Exponents Rules (Do you add Exponents when Multiplying Exponents with the base?)
### Key... |
# ANGLE SIDE ANGLE Congruence Postulate
What is the SAS Condition for Congruence? | Don’t Memorise
What is the SAS Condition for Congruence? | Don’t Memorise
Angle-Side-Angle or ASA Congruence Postulate is a rule which can be used to prove the congruence of two triangles.
Explanation :
If two angles and the include... |
# Acyclic Graph & Directed Acyclic Graph: Definition, Examples
Descriptive Statistics > Directed Acyclic Graph
A tree with nodes A B C D E F and G.
Directed acyclic graphs (DAGs) are used to model probabilities, connectivity, and causality. A “graph” in this sense means a structure made from nodes and edges.
• Node... |
## Wednesday, November 30, 2011
### Problem 695: Triangle, Angles, Auxiliary Construction, Congruence, Mind Map, Polya
Geometry Problem
Level: Mathematics Education, High School, Honors Geometry, College.
Click the figure below to see the complete problem 695.
1. This comment has been removed by a blog administrato... |
Making Maths Count
Maths Week Scotland – New Outfit
September 12, 2018 by 4 Comments | Category Education
I hope you are enjoying the Maths Week Scotland daily puzzles. Here is the puzzle for day three. There is more than one way to solve this. Good luck!
New Outfit
Asif is shopping for a new outfit for a special ... |
# حل معادله پایه
سرفصل: بخش ریاضی / / درس 11
## بخش ریاضی
14 سرفصل | 192 درس
### توضیح مختصر
• زمان مطالعه 6 دقیقه
• سطح سخت
### دانلود اپلیکیشن «زوم»
این درس را میتوانید به بهترین شکل و با امکانات عالی در اپلیکیشن «زوم» بخوانید
## Basic Equation Solving
In the previous set of videos, we were talking about al... |
# Division With Decimals
The one of the four basic mathematical operations of arithmetic is division. It is defined as the process of dividing (or sharing) the decimal values into equal parts with remainder or without remainder. Moreover, the division is the reverse operation of multiplication. The dividend is defined... |
# Divide Rs. 2379 into three parts so that their amounts after 2, 3 and 4 years respectively may be equal,
1.2k views
Divide Rs. 2379 into three parts so that their amounts after 2, 3 and 4 years respectively may be equal, the rate of interest being 5% per annum and find the maximum amount being distributed among the... |
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# Class 8 NCERT Solutions- Chapter 12 Exponents and Powers – Exercise 12.1
• Last Updated : 10 Mar, 2021
### Question 1. Evaluate:
Solution:
(i) 3–2
3-2 (Property used: a-n)
(ii) (– 4)– 2
(-4)-2 (Property used: a-n)
(iii) () -5
()-5 = (2)5 = 32 (Prope... |
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Jan 30, 2018
# Why “Number Sense” Is the Beginning of All Math Ability
Ever hear your child or another student talk about math class and say, “That stuff doesn’t make sense to me!”? That’s pretty typical, and it’s because children don’t get enough context when they learn material. Providin... |
# Percents (9 Examples Of Percents & Their Uses)
You’ve probably used percentages before. “I got a 94% on the last test!” or “I tipped our waitress 22% because the service was so good.” Shopping at the mall, you’re often bombarded with signs like “25% off all sweaters” or “an additional 20% off all sale items.”
Intui... |
# System of Three Linear Equations in Two Variables
Systems of equations are used to find common solutions that satisfy all of the equations in the system. In this blog, we will examine systems of three linear equations in two variables, talking about how they are represented and solved without getting into the actual... |
# How do you use Heron's formula to determine the area of a triangle with sides of that are 12, 6, and 10 units in length?
May 3, 2016
Area of triangle is $29.936$.
#### Explanation:
According to Heron's formula, if the sides of a triangle are $a$, $b$ and $c$, then its area is given by
$\sqrt{s \left(s - a\right)... |
# Circles 9.3 Page 532 DiameterIs a segment that passes through the center of the circle and has endpoints on the circle. Segment AC is the diameter. D =
## Presentation on theme: "Circles 9.3 Page 532 DiameterIs a segment that passes through the center of the circle and has endpoints on the circle. Segment AC is the ... |
Graphing Inequalities
1 / 11
# Graphing Inequalities - PowerPoint PPT Presentation
Graphing Inequalities. Standard: Solve and graph inequalities in one variable. Essential Question: How can I graph an inequality?. An inequality is a sentence that contains a <, >, < , or > sign. Examples: x < 3 is read... |
# Samacheer Kalvi 8th Maths Solutions Term 2 Chapter 2 Algebra Intext Questions
Students can Download Maths Chapter 2 Algebra Intext Questions and Answers, Notes Pdf, Samacheer Kalvi 8th Maths Book Solutions Guide Pdf helps you to revise the complete Tamilnadu State Board New Syllabus and score more marks in your exam... |
Elementary Algebra
Introduction to Algebra Linear Equations and Inequalities Functions and Graphs I Lines and thier Graphs Linear Systems Exponents & Polynomials
Intermediate Algebra
Factoring Rational Expressions Rational Equations and Applications Radical Expressions Nonlinear Equations and Applications Functions and... |
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# How do you simplify $(5 + 3i)(3 - i)$ ?
Last updated date: 18th Jun 2024
Total views: 374.4k
Views today: 7.74k
Verified
374.4k+ views
Hint: To solve these questions, we have to simplify the given expression. The expression can be simplified by... |
# Write Up 9: Pedal Triangles
## Alison Hays
Suppose ABC is any triangle. If P is any point in the plane, then the pedal triangle is triangle RST, where R, S, and T are the intersection points of the sides of ABC (extended if necessary) and the lines through P perpendicular to the sides of ABC (extended if necessar... |
# Area Between a Curve and y Axis with Examples
The area between a curve and the y-axis can be found using two main methods. The first method consists of using rectangles and subtracting their areas so that we obtain the required area. The second method consists of expressing x as a function of y to obtain a definite ... |
# Area
We need to learn to slice flat food first. After it's been de-boned, a fish such as salmon is relatively flat.
If we're planning on making fish sticks (we totally are), we'll need to cut that salmon into thin strips. We slice the fish from top to bottom into nice, even strips. We want them even so the 5-year-o... |
# What is the equation of the line perpendicular to y=-3/7x+12 at x=-1 ?
Apr 2, 2017
$y = \left(\frac{7}{3}\right) x + \left(\frac{310}{21}\right)$
#### Explanation:
Perpendicular means that the slopes will be opposite, so the slope is (7/3). At x = -1 the original line y value is $12 + \frac{3}{7}$ or $\left(\fr... |
Question
# Peter throws two different dice together and finds the product of the two numbers obtained. Rina throws a die and squares the number obtained. Who has the better chance to get the number 25?
Hint: Let us first think about all possible outcomes when we throw a single dice and two dice together.
The outcomes... |
# Prove that is sqrt3 irrational number. - Mathematics
Sum
Prove that is sqrt3 irrational number.
#### Solution 1
Let us assume, to contrary, that is rational. That is, we can find integers a and b (≠0) such that sqrt2=a/b
Suppose a and b not having a common factor other than 1, then we can divide by the common f... |
# Calculus/Indefinite integral
← Fundamental Theorem of Calculus Calculus Improper Integrals → Indefinite integral
## Definition
Now recall that ${\displaystyle F}$ is said to be an antiderivative of f if ${\displaystyle F'(x)=f(x)}$ . However, ${\displaystyle F}$ is not the only antiderivative. We can add any cons... |
Class 11
MATHS
Straight Lines
# Consider the family of lines (x+y-1)+lamda(2x+3y-5)=0 and (3x+2y-4)+mu(x+2y-6)=0. Equation of a line that belongs to both the family is <br> (A) x-2y-8=0 <br> (B) x-2y+8=0 <br> (C) 2x+y-8=0 <br> (D) 2x-y-8=0
Step by step solution by experts to help you in doubt clearance & scoring exce... |
A quadratic polynomial or quadratic expression is an expression which can be written as ax2 + bx + c, where a, b and c are constants.
A quadratic equation has an equals sign and can be written as ax2 + bx + c = 0.
Remember that the constants a and b in front of the x terms are called coefficients. The number c is sim... |
16
Aug 16
## The pearls of AP Statistics 20
A little creativity to explain the uniform distribution
They say: (Agresti and Franklin, Exercise 6.12) Uniform distribution A random number generator is used to generate a real number between 0 and 1, equally likely to fall anywhere in this interval of values. (For instan... |
# Percentages lesson plan
QCA Unit Mathematics at KS 3, Unit : Percentages. Year Group Year 8 Number in class 30 Time for lesson 1 hour No. of computers 15 (minimum).
Aims/Learning Outcomes: Learners will be able to calculate percentage decreases and increases.
All:. Will know how to calculate the percentage of a ... |
# Warm-Up 5 minutes Write each equation in slope-intercept form.
## Presentation on theme: "Warm-Up 5 minutes Write each equation in slope-intercept form."— Presentation transcript:
Warm-Up 5 minutes Write each equation in slope-intercept form.
1) x – y = 9 2) 2x = 5y 3) 4x + 7y = 14 4) 5)
3.1.1 Solving Systems by G... |
# Statistics – Understanding Basic Concepts and Dispersion
In the last post titled, Statistics – Understanding the Levels of Measurement, we have seen what variables are, and how do we measure them based on the different levels of measurement. In this post, we will talk about some of the basic concepts that are import... |
# Whole numbers definition explained
Learn and know what is whole numbers definition in math. In math, knowing about different types of numbers and their properties is very important.
Before knowing what are whole numbers, first know what are natural numbers. Why am saying like this means there is a relation among th... |
# How do I find an equation of a plane perpendicular to two another planes?
Find an equation of a plane $$\pi$$ that passes through point $$P = (2, 3, −6)$$ and is perpendicular to two planes $$\pi_{1} : x + y + z − 5 = 0$$ and $$\pi_{2} : x − y + 2 = 0$$.
Can someone help me with that with my example? I did not find... |
Lesson Video: Parallel Lines and Transversals: Proportional Parts | Nagwa Lesson Video: Parallel Lines and Transversals: Proportional Parts | Nagwa
# Lesson Video: Parallel Lines and Transversals: Proportional Parts Mathematics • First Year of Secondary School
## Join Nagwa Classes
In this video, we will learn how t... |
## Saturday, July 28, 2012
### Triangular Day... times nine plus one
Today is another triangular day! It is July 28th, and 28 is the seventh triangular number.
Before we start, let's remind ourselves of the explicit formula (you plug in n and receive the nth term in the sequence) for triangular numbers. Considering ... |
If you're seeing this message, it means we're having trouble loading external resources on our website.
If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.
### Course: Class 8>Unit 9
Lesson 1: Mensuration 9.1
# Area of trapezoids
Area of a trapezoid is... |
# Need solution for RD Sharma maths Class 12 Chapter 28 The Plane Exercise 28.9 Question 9 textbook solution.
Answer : The answer of the given question is $\lambda=4$
Hint :
$P=\left|\frac{a x_{1}+b y_{1}+c z_{1}+d}{\sqrt{a^{2}+b^{2}+c^{2}}}\right|$
Given : Points: $(1,1,1) \text { and } x-y+z+\lambda=0 \text { be... |
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# A delivery boy rides his bike at an average speed of 24 miles per hour for delivering Pizza in a nearby locality. On the way, the bike gets stuck in traffic, which reduces his average speed for the return trip by 12.5 percent. Find the average s... |
Equal sets space sets in set theory in i beg your pardon the number of elements is the same and all elements are equal. That is a concept of set equality. Prior to getting into the information of the principle of equal sets, let us recall the an interpretation of sets. A set is a well-defined collection of objects such... |
# 1. Find the perimeter of a rectangle with side lengths 12 ft and 20 ft. 3. Find the area of a parallelogram with height 9 in. and base length 15 in. 2.
## Presentation on theme: "1. Find the perimeter of a rectangle with side lengths 12 ft and 20 ft. 3. Find the area of a parallelogram with height 9 in. and base len... |
## Computing Truth Values
We have seen that a compound statement is truth-functional: Its truth or falsity is a function of the truth or falsity of its component statements. For compound statements with just one connective, the truth table for that connective tells us how to make the computation. But we can construct ... |
Practicing the Intermediate 1st Year Maths 1A Textbook Solutions Inter 1st Year Maths 1A Matrices Solutions Exercise 3(g) will help students to clear their doubts quickly.
## Intermediate 1st Year Maths 1A Matrices Solutions Exercise 3(g)
Examine whether the following systems of equations are consistent or inconsiste... |
# SOLVING LINEAR EQUATIONS USING THE INVERSION METHOD OF
Solving Linear Equations Using the Inversion Method :
This method can be applied only when the coefficient matrix is a square matrix and non-singular. Consider the matrix equation AX = B ,
Pre-multiplying both sides of (1) by A−1, we geMt A−1 ( AX ) = A−1B.
T... |
3.6 Negative exponents
Page 1 / 2
This module is from Elementary Algebra by Denny Burzynski and Wade Ellis, Jr. The basic operations with real numbers are presented in this chapter. The concept of absolute value is discussed both geometrically and symbolically. The geometric presentation offers a visual understanding... |
# Determine that the function $f(x)=\sqrt{x^2-x-6} \text{ in } x_0=3$ is continous with the $\varepsilon$-$\delta$-definition of limit/criterion
[Proof-verification] Determining whether the function $$f(x)=\sqrt{x^2-x-6} \text{ in } x_0=3$$; $$x_0\in \mathbb{R}$$ is continous $$\color{red}{\text{ in }x_0}$$ or not wit... |
Maths How To with Anita
# Factors of 30 and How to Find Them
In mathematics, the factors of a number are the numbers that can be multiplied together to produce that number. For example, the factors of 12 are 1, 2, 3, 4, 6 and 12.
In this article, we will discuss the factors of 30 and how to find them. We will also e... |
# Class 10 Maths Chapter 5 Arithmetic Progression MCQs
Class 10 Maths MCQs for Chapter 5 (Arithmetic Progression) is made available online here for students to score better marks in exams. The MCQs for chapter 5, Arithmetic progression, is prepared as per the latest exam pattern. These objective questions are provided... |
# 6.2 Use Multiplication Properties of Exponents
### Learning Objectives
By the end of this section, you will be able to:
• Simplify expressions with exponents
• Simplify expressions using the Product Property for Exponents
• Simplify expressions using the Power Property for Exponents
• Simplify expressions using th... |
Subtract 4 on both sides. The length of tangent is positive. My book (New Tertiary Mathematics Volume 1 Part 1, by C Plumpton and P S W Macilwaine) describes a method for calculating the length of a tangent to a circle from the point $(x_{1}, y_{1})$ outside the circle.. We can change the size and the position of the g... |
# McGraw Hill Math Grade 5 Chapter 3 Lesson 4 Answer Key Multiplying by 1 Digit Whole Numbers
All the solutions provided in McGraw Hill Math Grade 5 Answer Key PDF Chapter 3 Lesson 4 Multiplying by 1 Digit Whole Numbers are as per the latest syllabus guidelines.
## McGraw-Hill Math Grade 5 Answer Key Chapter 3 Lesson... |
# Why is the ratio of △PCD to △PAB the square of the ratio of their sides?
• Module 2 Week 2 Day 5 Challenge Part 2
Why is ratio of the area of triangle PCD to triangle PAB the square of the ratio of its sides?
• Hi tidyboar,
Good question! This is actually part of a general result in geometry: If I have two shapes... |
# How do you evaluate log_[3]sqrt(18) + log_[3]sqrt(24) - log_[3](12)?
Apr 9, 2016
${\log}_{3} \sqrt{18} + {\log}_{3} \sqrt{24} - {\log}_{2} \left(12\right) = \frac{1}{2}$
#### Explanation:
In general:
$\textcolor{w h i t e}{\text{XXX}} {\log}_{b} p + {\log}_{b} q = {\log}_{b} \left(p q\right)$
and
$\textcolor{w h ... |
# RBSE Solutions for Class 10 Maths Chapter 17 Measures of Central Tendency Ex 17.6
RBSE Solutions for Class 10 Maths Chapter 17 Measures of Central Tendency Ex 17.6 is part of RBSE Solutions for Class 10 Maths. Here we have given Rajasthan Board RBSE Class 10 Maths Chapter 17 Measures of Central Tendency Exercise 17.... |
# Centers Of Triangles Worksheet
Centers Of Triangles Worksheet. It is the middle most spot, equal distance from all three corners of the triangle. The centroid of a triangle is (- 1, – 2) and co-ordinates of its two vertices are and (- 8, – 12). The Download button initiates a download of the PDF math worksheet. The ... |
# NCERT Solutions for Class 7 Maths Chapter 4 – Simple Equations
Class 7 Maths NCERT Solutions Chapter 4 – Simple Equations comprises of the 4 Exercises,
### NCERT Solutions for Class 7 Maths Chapter 4 Exercise 4.1
1. Complete the last column of the table:
(i) No
Substitute x=3 in the equation x + 3 = 0
3 + 3 = 9 ≠... |
# The Inverse of a 2 x 2 matrix
### The Inverse of a 2 x 2 matrix
In this lesson, we will learn how to find the inverse of a 2 x 2 matrix. You will learn that if two matrices are inverses of each other, then the product of the two matrices will result in an identity matrix. Next, you will learn how to find the invers... |
# Exponent Rules
Exponent rules are the laws or basic principles based on which problems based on exponents are solved. The exponents are commonly seen not only in mathematics, but in every field. An exponent may be referred to a number or a variable raised to another number or variable. An exponential number can be w... |
# Problems on Time required to Complete a Piece a Work
Learn how to solve problems on time required to complete a piece a work when a person A completes a piece of work in n days, then work done by A in one days = 1/n th part of the work.
Now we will apply the above concept for solving some real-life problems to find... |
# Vedic Maths Article 1: Multiplying two digit nymbers by 11
May 9, 2018
###### Vedic mathematics article 2: subtraction of numbers from 10, 100, 1000, 10 000, etc.
May 9, 2018
Young boy writes math equations on chalkboard
Namaste everyone. Welcom to my Blog. In this blog I will be posting articles from my Vedic mat... |
# Area of a Circle-old
A = π r²
### d → Diameter
Solution
A ≈
Area of a Circle
The area of a circle can be considered as all the space inside a circle’s circumference. A circle is the curve traced out by a point that moves in such a way that its distance from a given point always constant.
According to Euclid (i... |
# Step by step matrix solver
Math can be a challenging subject for many learners. But there is support available in the form of Step by step matrix solver. Math can be difficult for some students, but with the right tools, it can be conquered.
## The Best Step by step matrix solver
Keep reading to learn more about S... |
Uncovering the Mystery: What is the Distance from P to Q?
Have you ever wondered about the mysterious distance between two points, P and Q? Calculating the distance between these two points is a fundamental concept in mathematics and has numerous applications in various fields. In this article, we will explore differe... |
# New Mexico - Grade 1 - Math - Operations and Algebraic Thinking - Addition and Subtraction Word Problems - 1.OA.1
### Description
Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all position... |
# How do you find the general solution of the differential equations y''-4y'=2x^2?
Dec 30, 2016
The General Solution to the DE $y ' ' - 4 y ' = 2 {x}^{2}$ is
$y = A + B {e}^{4 x} - \frac{1}{6} {x}^{3} - \frac{1}{8} {x}^{2} - \frac{1}{16} x$
#### Explanation:
There are two major steps to solving Second Order DE's o... |
# How do I find the derivative of y = (sin(e^x))^ln(x^2)?
$\textcolor{b l u e}{y ' = {\left(\sin {e}^{x}\right)}^{\ln {x}^{2}} \left[{e}^{x} \cdot \ln {x}^{2} \cdot \cot {e}^{x} + \frac{2}{x} \cdot \ln \sin {e}^{x}\right]}$
#### Explanation:
The given equation is
$y = {\left(\sin {e}^{x}\right)}^{\ln {x}^{2}}$
Tak... |
# How do you find the p-value for a significance test?
## How do you find the p-value for a significance test?
How to calculate p-value from test statistic?
1. Left-tailed test: p-value = cdf(x)
2. Right-tailed test: p-value = 1 – cdf(x)
3. Two-tailed test: p-value = 2 * min{cdf(x) , 1 – cdf(x)}
Is p-value .026 sig... |
Online Tution » Factors of 120
# Factors of 120
## Factors of 120
The factors of 120 are all the numbers, when multiplied together in a pair of two, give the number 120. For example, the two numbers let’s say x and y when these two numbers are multiplied together and their results will be 120 then these two numb... |
# Calculate Present Value
The present value of money is, simply put, how much a future amount is worth now. Suppose you have been promised a payment of $1,000 in 10 years. That money has a present value much less than$1,000 because it will grow to $1000 over those 10 years. ### Present Value Formula $$\huge P = \frac{... |
The Fundamental Concept of Equality in Mathematics
In mathematics, the concept of equality is fundamental and serves as the backbone of many mathematical operations and proofs. Equality is a relationship between two quantities or, more generally, two mathematical expressions, stating that they have the same value. The... |
# Table of 20
Multiplication table of 20 is in the tabular form. So, you can get it easily.
In the table of 20 given below, you can see numerals on the left side and how to learn or read is on the right side. So, this is the right way to understand and learn the table of 20.
As this table is of 20: in the part of nu... |
# Surface Area
Now that we have some understanding of integrals and of parametric surfaces, we can apply that knowledge to find the surface area of a parametric surface. To do this, we need to think of a way to split the surface up into lots of very small pieces that we can easily calculate the surface area of, then a... |
GMAT Math : DSQ: Calculating the length of a diagonal of a polygon
Example Questions
Example Question #1 : Polygons
The hexagon in the above diagram is regular. If has length 10, which of the following expressions is equal to the length of ?
Explanation:
The answer can be seen more easily by constructing the alt... |
Pythagoras Theorem. Page I can identify and label right-angled triangles explain Pythagoras Theorem calculate the hypotenuse
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Download "Pythagoras Theorem. Page I can... 1... identify and label right-angled triangles. 2... explain Pythagoras Theorem. 4... calculate the hypotenuse"
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