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# Question: How Do You Know When Something Is A Function?
## How do you use the vertical line test to determine if a graph is a function?
The vertical line test can be used to determine whether a graph represents a function.
If we can draw any vertical line that intersects a graph more than once, then the graph does... |
Math
# Teaching Multiplication and Division Relationship Using Arrays
An arrangement of objects, pictures, or numbers in columns and rows is called an array. In this article, you will learn how to use arrays to show the relationship between multiplication and division.
Key standard: Use multiplication and division w... |
# Make a Ten_湊到 10
下載 嵌入 關閉 嵌入模擬教學執行複本 利用 HTML 來嵌入模擬教學執行複本。您可以在 HTML 中改變已嵌入模擬教學的寬度及高度。 嵌入啓動模擬教學之圖樣
• Place Value
• Subtraction
• 算術
### 描述
Add numbers by making tens. Break apart and combine numbers while focusing on place value. Use the adding screen to add any two numbers. Use the game screen to apply your make-... |
# Derivative of Functions in Parametric Forms
Last Updated : 01 May, 2024
Parametric Differentiation refers to the differentiation of a function in which the dependent and independent variables are equated to a third variable. Derivatives of the functions express the rate of change in the functions. We know how to ca... |
# Finding integers of the form $3x^2 + xy - 5y^2$ where $x$ and $y$ are integers, using diagram via arithmetic progression
So the diagram drawn looks like this:
We begin at the edges labeled $3$ and $-5$ because we are using those as the bases for $x$ and $y$, respectively. The way we obtain the values of the 2 adjac... |
# Question: What Is Sin 4x Equal To?
## What are the Trig identities?
In mathematics, trigonometric identities are equalities that involve trigonometric functions and are true for every value of the occurring variables where both sides of the equality are defined.
Geometrically, these are identities involving certai... |
# Class 8 RD Sharma Solutions – Chapter 9 Linear Equation In One Variable – Exercise 9.2 | Set 1
### Question 1. (2x + 5)/3 = 3x – 10
Solution:
First simplify the equation,
(2x + 5)/3 – 3x = – 10
By taking LCM
(2x + 5 – 9x)/3 = -10
(-7x + 5)/3 = -10
After cross-multiplication we get,
-7x + 5 = -30
-7x... |
| by Kenneth Chase | 1 comment
## Using the distributive property when multiplying
– [Instructor] What we’re
going to do in this video is dig a little bit deeper into our understanding of multiplication. And just as an example, we’re going to use four times seven. And some of you might know
what four times seven is, ... |
Question
# Find the value of the variable in given linear equations :i) 7x – 5 = 2xii) 5x – 12 = 2x – 6iii) 7p – 3 = 3p + 8
Hint: Consider all the linear equations separately, make the variables as subjects or take variables to one side and the constant terms on the other side and hence find the value of the ... |
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# Various Forms of Tangents in Hyperbola
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Last updated date: 13th Jul 2024
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## Equation of Tangent to Hyperbola: Preface
A hyperbola is a set of all points (x, y) such that the difference of the... |
Paul's Online Notes
Home / Calculus I / Applications of Derivatives / The Shape of a Graph, Part II
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# Assignment1_Solutions - Problem Set 1 SOLUTIONS Question 1...
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# Can You Measure It?
3 teachers like this lesson
Print Lesson
## Objective
SWBAT identify at least 3 types of measurement and use these to solve problems.
#### Big Idea
Measurement is one of the 4 Critical Areas in 2nd Grade Math. At the start of the year, students are exposed to a variety of ideas about what mat... |
AREAS OF PLANE CURVES - Integration as a Process of Summation - The Calculus Primer
The Calculus Primer (2011)
Chapter 57. AREAS OF PLANE CURVES
15—5. Curves in Rectangular Coordinates. We have already learned how an area may be determined by using a definite integral. We shall illustrate the use of the summation... |
# Lesson video
In progress...
Loading...
Hi everyone, I'm Mr. Lund.
In this lesson, we're going to be solving inequalities, which involve algebraic fractions.
Hi everyone, we solve inequalities, in much the same way, that we solve equations.
Here I have an inequality, which involves an algebraic fraction.
A over... |
12.2 C
New York
Monday, March 27, 2023
# Information about Multiplication | Multiplicand | Multiplier
We’ve learnt multiplication of numbers with 2-digit multiplier. Now, we are going to study extra. Tell us some details about multiplication.
When every set of numbers are equal we use multiplication to search out ou... |
# Simplify 2b4b2
• Last Updated : 11 Nov, 2021
Algebraic expression started in the 9th century. In the beginning, it was more in statement form and not mathematical at all. For instance, algebraic equations used to be written as “5 times the thing added with 3 gives 18” which is basically 5x + 3 = 18. This type of eq... |
10
Q:
# Find the sub-triplicate ratio of 27:125
Q:
Vinod have 20 rupees. He bought 1, 2, 5 rupee stamps. They are different in numbers by the reason of no change, the shop keeper gives 3 one rupee stamps. So how many stamps Vinod have ?
A) 10 B) 18 C) 12 D) 15
Explanation:
Given total rupees = 20 Rs
No. of one r... |
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Math
Ohio's Learaning Standards in Mathematics
We can solve addition word problems to 20 with unknowns in all positions.
We can solve subtraction word problems to 20 with unknowns in all positions.
We can solve word problems that call for addition of three wh... |
# Solution to AM - GM Introductory Problem 2
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
### Problem
Find the maximum of $2 - a - \frac{1}{2a}$ for all positive $a$.
### Solution
We can rewrite the given expression as $2 - (a + \frac{1}{2a})$. To maximize the whole expression, we mus... |
Exponents and Powers
Powers
Powers and exponents
1. Power: The power is the product of multiplying a number by itself. It shows how many times the base is multiplied by itself.
2. Base: The base number tells what number is being multiplied.
3. Exponent: The exponent, a small number written above and to the right o... |
Associated Topics || Dr. Math Home || Search Dr. Math
### Determining Equable Shapes
```
Date: 06/15/99 at 08:11:46
From: Jonathan
Subject: Equable shapes
Could you please list some of the equable shapes and show me how you
determined them? Can you please write down the formula?
```
```
Date: 06/15/99 at 08:18:12
F... |
ဖြေကြည့်ပါ...၊ ရမှတ်နဲ့ အဖြေမှန်ကို ဖော်ပြပေးပါလိမ့်မယ်...။ မည်သည့်တွက်ချက်မှုဆိုင်ရာ ပစ္စည်းကိုမျှ အသုံးပြုခွင့် မရှိပါ။
မှန်သော အဖြေကို ရွေးပေးရန် ဖြစ်ပါသည်။
1. 1. If $\displaystyle \left( \frac{a}{b} \right)^{x-1} =\left( \frac{b}{a} \right)^{x-3}$ , then the value of $\displaystyle x$ is
### Explanation
\begin{... |
# How to find the equation of a secant line given two points
In this blog post, we will provide you with a step-by-step guide on How to find the equation of a secant line given two points.
Explain mathematic equations
Instant Expert Tutoring
## Secant Line: Definition, Examples, Finding
Given two points: A(x_A,y_A)... |
# Video: Simplifying and Determining the Domain of a Sum of Two Rational Functions
Simplify the function π(π₯) = 7π₯Β²/(π₯ β 1) + 3π₯/(1 β π₯), and determine its domain.
03:41
### Video Transcript
Simplify the function π of π₯ equals seven π₯ squared divided by π₯ minus one plus three π₯... |
# Motion In a Plane Class 11 notes Physics Chapter 4
## Introduction
In the previous chapter, we have learnt about "Motion in a Straight Line". In this chapter, we shall focus Motion In a Plane. In order to describe motion of an object in two dimensions (a plane) or three dimensions (space), we need to use vectors to... |
# Factor algebraic terms
Lesson
We've already learnt how to factor (or add brackets to) equations but only when these equations have common factors that are numbers. Now we are going to look at number sentences that have both numbers and algebraic terms as factors.
Remember that powers indicate that a value is multi... |
Compositions of Functions
Compositions of functions consist of multiple functions linked together, where the output of one function becomes the input of another function. For example, the function $2x^2$ can be thought of as the composition of two functions: the first function squares the input, and then the second fu... |
Understanding mathematics means learning the language of maths in its own right.
## Learn Maths Vocabulary
To be able to get on in maths, you need to understand the instructions given.
While this may seem simple, sometimes important vocabulary is lacking.
To avoid finding yourself blocked like this, it's a good ide... |
Example 1 :
The graph shows the relationship between the weight of an object on the Moon and its weight on Earth. Write an equation for this relationship.
Solution :
Step 1 :
Make a table relating the weight of the object on the Moon to its weight on Earth.
Step 2 :
Find the constant of proportionality.
Moon wei... |
+0
# Some Number Theory
0
286
1
How many consecutive whole numbers, starting with 1, must be added to get a some of 666?
Dec 3, 2017
#1
+2340
+2
The way I would approach this problem is to find a formula for the sum of consecutive integers 1,2,3,4 ..., n.
Let S = sum of consecutive whole numbers starting with 1
... |
Differentiation
Stationary points
Stationary point, Increasing and Decreasing Function, and Curve Sketching
Stationary point
\begin{equation*} f'(x) = 0 \end{equation*}
Nature of stationary point
\begin{equation*} \begin{split} f''(x) & > 0 \quad \text{local minimum} \\\\ f''(x) & < 0 \quad \text{local maximum} \... |
# Thread: Speed, distance etc
1. ## Speed, distance etc
Fred cycled from home to his friends house and back again.
The distance is 20km.
On his way home, he cycled x km per hour.
On his way back, his speed decreased by 2km per hour.
It took him 4 hours altogether to cycle to his friends house and back.
1. Write down... |
# LCM of 12 and 16:
##### Exploring the Different Methods
Greetings, young math enthusiasts! Today, we embark on an exciting journey to uncover the mystical bonds between the numbers 12 and 16. Get ready for an adventure filled with exploration and mathematical marvels!
# LCM of 12 and 16:
##### Exploring the Diffe... |
# Solution for Paula
Paula wants to create a smaller, thinner truncated cone. The diameter of the base will be 2 inches and the diameter of the top will be .25 inches. The height will be 7 inches. As before, think about extending the conical figure up to a point and put it Paula's numbers. That is, this pedestal is fo... |
Year 4
Year 4
# Adding using the column method
## Switch to our new maths teaching resources
Slide decks, worksheets, quizzes and lesson planning guidance designed for your classroom.
## Slide deck
Download slide deck
## Lesson details
### Key learning points
1. In this lesson, we will use the column method to... |
#### Chapter 5 Geometry
Section 5.1 Elements of Plane Geometry
# 5.1.2 Points and Lines
In geometry, a place or a position in a plane is idealised to the most basic object, namely a point. A single point itself cannot be characterised any further.
For several points, relations between these points can be considered ... |
# 9. Define and draw the following: (2½ each) (i) Right-angle triangles (ii) Equilateral triangles (b) There are nine students in a group having ages 15, 15, 16, 16, 16, 17, 17, 18, 19 Calculate mean, medium, mode and range of their ages also define the above mentioned terms:
## Define and draw the following: (2½ each... |
# Perimeter and Area (Are they the Same?)
19 teachers like this lesson
Print Lesson
## Objective
SWBAT find the area and perimeter of rectangles and determine if they are both the same value.
#### Big Idea
Formulas can be used to find the area and perimeter of rectangles.
## Opener
5 minutes
In today's lesson, ... |
# Logic riddles
## Water image
You can see me in water, but I never get wet. What am I?
Reflection.
72.22 %
## The same birthday
What is the least number of people that need to be in a room such that there is greater than a 50% chance that at least two of the people have the same birthday?
Only 23 people need to be... |
# Difference between revisions of "2000 AMC 8 Problems/Problem 14"
## Problem
What is the units digit of $19^{19} + 99^{99}$?
$\text{(A)}\ 0 \qquad \text{(B)}\ 1 \qquad \text{(C)}\ 2 \qquad \text{(D)}\ 8 \qquad \text{(E)}\ 9$
## Solution
Finding a pattern for each half of the sum, even powers of $19$ have a units ... |
# How do you find the derivative of (1/(3x^2) - (5/(2x)))?
Nov 21, 2016
$\frac{5}{2 {x}^{2}} - \frac{2}{3 {x}^{3}}$
#### Explanation:
Express the terms of the function in exponent form.
$\Rightarrow \frac{1}{3} {x}^{-} 2 - \frac{5}{2} {x}^{-} 1$
differentiate each term using the $\textcolor{b l u e}{\text{power r... |
# Central tendency measures
There are several measures of central tendency, however in this material we will study only those that are most significant for the theory of market research.
The most important measures of central tendency are the arithmetic mean, arithmetic mean for pooled data, weighted arithmetic mean,... |
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# Ed 30 5 6 the slope is cd 35 and the horizontal
This preview shows pages 4–5. Sign up to view the full content.
e/d = 30/ 5 = 6, the slope is ( c/d ) = –3/5, and the horizontal intercept is e/c = 30/3 = 10. The standard form of the equation would be y = e/d – (... |
# 9(13-x)-4x=5x(21-2x)+9x
## Simple and best practice solution for 9(13-x)-4x=5x(21-2x)+9x equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so dont hesitate to use it as a solution of your homework.
If it's not what You are looking for type in the equation s... |
# How do use the first derivative test to determine the local extrema f(x)= 4x^3 - 3x^4?
Aug 23, 2015
The local extrema occur at point where the first derivative is equal to zero (critical points) and where the slope (as given by the first derivative) switches between positive and negative
#### Explanation:
Given $... |
# 3.5 Exterior Angle Theorem and Triangle Sum Theorem
The 3.5 exterior angle theorem and triangle sum theorem are two fundamental theorems in geometry that provide insight into the relationships between angles and sides of triangles. The 3.5 exterior angle theorem states that the measure of an exterior angle of a tria... |
0
## Fixed Point Format and Floating Point Format Examples
• • It is found that in the floating-point representation we can cover a much larger range of numbers than that is possible in the fixed-point representation.
• In the floating-point representation the resolution decreases with an increase in the size of the... |
### CAT 2019 - Slot 2 - Logical Reasoning and Data Interpretation - Three pouches (each represented by a filled circle) are kept in each of the nine slots in a 3× 3 grid
##### Three pouches (each represented by a filled circle) are kept in each of the nine slots in a 3× 3 grid, as shown in the figure. Every pouch has ... |
Here we are going to see some practice problems based on the concept composite figures.
(1) Area of the following figure
(2) Area of the following figure
(3) John bought a square plot of side 60 m. Adjacent to this David bought a rectangular plot of dimension 70 m x 50 m. Both paid the same amount. Who is benefited ... |
# 3.3 Differentiation Formulas
## Presentation on theme: "3.3 Differentiation Formulas"— Presentation transcript:
3.3 Differentiation Formulas
DERIVATIVES 3.3 Differentiation Formulas In this section, we will learn: How to differentiate constant functions, power functions, polynomials, and exponential functions.
The... |
# RS Aggarwal Class 10 Solutions Chapter 19 Volume And Surface Areas Of Solids
## RS Aggarwal Class 10 Chapter 19 Volume And Surface Areas Of Solids Solutions Free PDF
In this chapter, the students will learn to calculate the area of different solid shapes which are combined together to form a single figure. RS Aggar... |
# Lesson Explainer: Applying the Pythagorean Theorem to Pyramids and Cones Mathematics • 8th Grade
In this explainer, we will learn how to identify the parts of pyramids and cones and use the Pythagorean theorem to find their dimensions.
We recall that the Pythagorean theorem describes the relationship between the le... |
# Mock AIME 3 Pre 2005 Problems/Problem 9
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
## Problem
$ABC$ is an isosceles triangle with base $\overline{AB}$. $D$ is a point on $\overline{AC}$ and $E$ is the point on the extension of $\overline{BD}$ past $D$ such that $\angle{BAE}$ is righ... |
Mathematical Content CPMP Classrooms Helping Your Student Helping with Homework Preparing for Tests Preparing for College Research Base Evidence of Success
Course 2, Unit 2 - Matrix Methods
Overview
In the Matrix Methods unit, students learn to use matrices to organize and display data, to operate on matrices in a va... |
Home > Introduction to Pre-Calculus > Characteristics of Functions
# Characteristics of Functions
There are several characteristics of functions, we’ll look at them below.
## 1. Odd and Even functions
A function can be odd or even.
We say a function is odd if they are symmetrical about a point, usually the origin... |
P. 1
Combining Groups of Single Blocks
# Combining Groups of Single Blocks
|Views: 2|Likes:
Comprehensive Teacher's Guide Vol 2 Lesson 3-2
Comprehensive Teacher's Guide Vol 2 Lesson 3-2
Categories:Types, School Work
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# Combining Groups of Single Blocks
Focus
3-2
... |
Question Video: Differentiating Trigonometric Functions Whose Arguments Are Linear Functions | Nagwa Question Video: Differentiating Trigonometric Functions Whose Arguments Are Linear Functions | Nagwa
# Question Video: Differentiating Trigonometric Functions Whose Arguments Are Linear Functions Mathematics • Second Y... |
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# S21 - CHAPTER 2 First Order Differential Equations...
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CHAPTER 2 First Order Differential Equations Introduction It follows from the discussion in Section 1.3 that any first order differential equat... |
Difference between revisions of "2006 AMC 10A Problems/Problem 15"
Problem
Odell and Kershaw run for $30$ minutes on a circular track. Odell runs clockwise at $250 m/min$ and uses the inner lane with a radius of $50$ meters. Kershaw runs counterclockwise at $300 m/min$ and uses the outer lane with a radius of $603$ m... |
# 3.6 Integration as the Summation of Volumes
3.6 Integration as the Summation of Volumes
(1).
The volume of the solid generated when the region enclosed by the curve y = f(x), the x-axis, the line x = and the line x = b is revolved through 360° about the x-axis is given by
${V}_{x}=\pi {\int }_{a}^{b}{y}^{2}dx$
(... |
# Prove the following by using the principle of mathematical induction for all $n\in \mathbb{N}$ :Q : 7 $1.3+3.5+5.7+...+(2n-1)(2n+1)=\frac{n(4n^2+6n-1)}{3}$
Let the given statement be p(n) i.e.
$p(n):1.3+3.5+5.7+...+(2n-1)(2n+1)=\frac{n(4n^2+6n-1)}{3}$
For n = 1 we have
$p(1):1.3=3=\frac{1(4(1)^2+6(1)-1)}{3}=... |
# 7.1 Angles (Page 6/29)
Page 6 / 29
Find an angle $\text{\hspace{0.17em}}\alpha \text{\hspace{0.17em}}$ that is coterminal with an angle measuring $\text{\hspace{0.17em}}870°,$ where $\text{\hspace{0.17em}}0°\le \alpha <360°.$
$\alpha =150°$
Given an angle with measure less than $\text{\hspace{0.17em}}0°,$ find ... |
# What are Triangles?
View Notes
## What are Triangles in Geometry?
Shapes and patterns have always fascinated us since the dawn of time. The rigidness in some and swirls in others have often puzzled our minds and nature housing such beautiful designs is beyond fascinating. Triangles are one of those shapes that pos... |
# What Is 4/64 as a Decimal + Solution With Free Steps
The fraction 4/64 as a decimal is equal to 0.062.
Improper fractions are those types of fractional forms that have a numerator greater in value than the denominator. In a Proper Fraction, the vice versa is true that the denominator is greater than the numerator. ... |
# A $1.6 \mathrm{~m}$ tall girl stands at a distance of $3.2 \mathrm{~m}$ from a lamp-post and casts a shadow of $4.8$ m on the ground. Find the height of the lamp-post by using trigonometric ratios.
Given:
A $1.6 \mathrm{~m}$ tall girl stands at a distance of $3.2 \mathrm{~m}$ from a lamp-post and casts a shadow of ... |
# Multiple Linear Regression by Hand (Step-by-Step)
Multiple linear regression is a method we can use to quantify the relationship between two or more predictor variables and a response variable.
This tutorial explains how to perform multiple linear regression by hand.
## Example: Multiple Linear Regression by Hand
... |
When you know how to do long division, figuring out how to divide decimals is easy. However, unlike dividing whole numbers, with decimals, you have to add trailing zeros in the dividend and you also have to complete the problem without remainders.
The main difference comes at the beginning, before you start dividing.
... |
# How to Calculate Compound Interest
Compound interest is interest which is calculated on the original lump sum plus the interest already accumulated.
If a lump sum (PV) is invested in an account paying a rate of compound interest (i), then after a number of periods (n), it will grow into a future value (FV).
Future... |
## F1.02: Examples 4-5
Example 4. Negative numbers and the operation of subtraction.
1. $8-6$
2. $-6+8$
Solution: When we do subtraction problems by hand or work with negative numbers, we usually write the negative sign and the subtraction symbol in exactly the same way, so we think of them as the same. But calculat... |
# How do you find the prime factorization?
## How do you find the prime factorization?
Find the prime factorization of a composite number using the ladder method
1. Divide the number by the smallest prime.
2. Continue dividing by that prime until it no longer divides evenly.
3. Divide by the next prime until it no l... |
How do you write 3x^4+2x^3-5-x^4 in standard form?
$2 {x}^{4} + 2 {x}^{3} - 5$
The standard form of a polynomial (which is what we have here) is written from highest exponent to lowest exponent. In addition, there should only be 1 of each exponent/variable pair (like x^4 or x^3). For example, here we have $3 {x}^{4}$ ... |
# Number of Steps to Reduce a Number to Zero Leetcode Solution
Difficulty Level Easy
algorithms Bit Manipulation coding Interview interviewprep LeetCode LeetCodeSolutionsViews 253
The problem Number of Steps to Reduce a Number to Zero Leetcode Solution states that given an integer. Find the minimum number of steps to... |
4
Q:
# There are 6561 balls are there out of them 1 is heavy. Find the minimum number of times the balls have to be weighted for finding out the heavy ball ?
A) 2414 B) 204 C) 87 D) 8
Explanation:
Suppose there are 9 balls
Let us give name to each ball B1 B2 B3 B4 B5 B6 B7 B8 B9
Now we will divide all the balls ... |
# using the divergence theorem
>up
The divergence theorem only applies for closed surfaces S. However, we can sometimes work out a flux integral on a surface that is not closed by being a little sneaky. NOTE that this is NOT always an efficient way of proceeding. However, it sometimes is, and this is a nice example o... |
# What two numbers multiplied equal 375?
## What two numbers multiplied equal 375?
The pair of numbers that give 375 when multiplied with each other is called the factor pairs of 375.
• 375 = 1 × 375.
• 375 = 3 × 125.
• 375 = 5 × 75.
• 375 = 15 × 25.
• Therefore, the factor pairs of 375 are (1, 375), (3, 125), (5, 7... |
# How to Solve Math Problems Using a Flowchart
Save
Getting to the one correct answer to a math problem challenges many students who may not know where to start or how to get to the answer. Flowcharts provide a framework for the math process, giving students a step-by-step approach to tackling the problem. Teach stud... |
# NCERT Solutions for Class 8 Maths Chapter 6 Squares and Square Roots
NCERT Solutions for Class 8 Maths Chapter 6 Squares and Square Roots
### NCERT Solutions for Class 8 Maths Chapter 6 Squares and Square Roots Exercise 6.1
Ex 6.1 Class 8 Maths Question 1.
What will be the unit digit of the squares of the followin... |
# 2010 AIME I Problems/Problem 6
## Problem
Let $P(x)$ be a quadratic polynomial with real coefficients satisfying $x^2 - 2x + 2 \le P(x) \le 2x^2 - 4x + 3$ for all real numbers $x$, and suppose $P(11) = 181$. Find $P(16)$.
## Solution
### Solution 1
$[asy] import graph; real min = -0.5, max = 2.5; pen dark = line... |
# Orthocenter on perpendicular bisector | INMO 2013
This is a problem from Indian National Mathematics Olympiad, INMO, 2013 based on Orthocenter on perpendicular bisector. Try out this problem.
Problem: Orthocenter on perpendicular bisector
In an acute angled triangle ABC with AB < AC the circle $\Gamma$ touches AB ... |
# Proportion
GCSELevel 4-5Level 6-7Cambridge iGCSEEdexcel iGCSE
## Proportion
Proportion looks at one thing’s size, or one value, and its relationship to another thing’s size, or value.
The two types of proportion we will look at are direct proportion, and inverse proportion, and how to work these out.
## Direct P... |
This chapter will cover the various concepts on the subject including the radian formula, the radian definition, the radian calculator, and radian vs degrees.
Up to this stage, you have been using degrees to measure the sizes of angles.
However, for a variety of reasons, angle measures in advanced mathematics are fre... |
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Evaluating Functions
Evaluating a function means finding the output value (or result) of the function when a specific input value (or argument) is given.
• Evaluating Functions
• Formula for Evaluating Functions
• Solved Examples of Evaluating Function
• FAQs
Personal... |
# If Sin 2a = λ Sin 2b, Then Write the Value of λ + 1 λ − 1 - Mathematics
Sum
If sin 2A = λ sin 2B, then write the value of $\frac{\lambda + 1}{\lambda - 1}$
#### Solution
Given:
sin 2A = λ sin 2B
$\frac{\lambda + 1}{\lambda - 1}$
$\Rightarrow \frac{\sin2A + \sin2B}{\sin2A - \sin2B} = \frac{\lambda + 1}{\lambda - ... |
What is 201/50 as a decimal?
Solution and how to convert 201 / 50 into a decimal
201 / 50 = 4.02
Fraction conversions explained:
• 201 divided by 50
• Numerator: 201
• Denominator: 50
• Decimal: 4.02
• Percentage: 4.02%
Convert 201/50 to 4.02 decimal form by understanding when to use each form of the number. Fract... |
the Remainder Theorem
# THE REMAINDER THEOREM
• PRACTICE (online exercises and printable worksheets)
This section gives a useful application of synthetic division and the division algorithm,
called the Remainder Theorem or the Polynomial Remainder Theorem.
The Remainder Theorem provides an efficient way to evalua... |
# Calculate the double integral of the expression 6x/(1 + xy) dA, where R = [0, 6] × [0, 1].
This question aims to find the double integral of the given expression over a given range in $x-axi$ and $y-axis$.
This question is based on the concept of integration, particularly double integrals. The integration is used t... |
# Complex Plane
No, not this complex plane ... ... this complex plane: It is a plane for complex numbers!
(It is also called an "Argand Diagram")
## Real and Imaginary make Complex
A Complex Number is a combination of a Real Number and an Imaginary Number.
Let me explain ...
A Real Number is the type of number y... |
# Measuring with a Ruler: Try Coloring!
Why kids struggle with measuring with a ruler (and how coloring inches can help):
## Measuring with a ruler uses the area model for fractions.
1. Measuring in inches requires a different way of thinking about fractions. The most common way for kids to think about fractions is ... |
$$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$ $$\newcommand{\kernel}{\mathrm{null}\,}$$ $$\newcommand{\range}{\mathrm{range}\,}$$ $$\newcommand{\RealPart}{\mathrm{Re}}$$ $$\newcommand{\ImaginaryPart}{\mathrm{Im}}$$ $$\newcommand{\Argument}{\mathrm{Arg}}$$ $$\newcommand{\norm}[1]{\| #1 \|}$$ $$... |
# Factors of 28
(Last Updated On: March 24, 2023)
Factors of 28: The factors of 28 are the numbers that can be divided evenly into 28 without leaving a remainder. These factors are:
1, 2, 4, 7, 14, 28
Therefore, the factors of 28 are 1, 2, 4, 7, 14, and 28.
## What Are the Factors of 28?
Post Contents
The factors... |
Decimals to equivalent fractions
To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10. If needed, simplify the fraction.
What is 0.36 as an equivalent fraction?
9/25Answer:... |
## Median
Another measure of central tendency of a data set is the median. One common use is to describe the housing market in a city. The median is the middle value when all the values are arranged in numerical order.
#### Example 5
This data set has been arranged in numerical order:
2 2 3 3 3 4 5 11 13 18 18 19 ... |
# Increasing and Decreasing
It is important to be able to distinguish between when functions are increasing and when they are decreasing. In business this could mean the difference between making money and losing money. In physics it could mean the difference between speeding up and slowing down.
How do you decide wh... |
# NCERT Solutions For Class 10th Maths Chapter 14 : Statistics
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CBSE NCERT Solutions For Class 10th Maths Chapter 14 : Statistics. NCERT Solutins For Class 10 Mathematics. Exercise 14.1, Exercise 14.2, Exercise 14.3, Exercise 14.4.
#### NCERT Solutions for Class X Maths Chapter 14 Statistics – Mathematics... |
# Importance of Place Value in Mathematics
## Importance of Place Value in Mathematics
Understanding place value is important because it helps you understand the magnitude of numbers. Because of place value we know 30 is 10 times bigger than 3 which is a hundred times bigger than 0.03. This would not have been pos... |
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# finding a slope of line paaing through a point
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find the slope of line passing through the point (3,4) and (8,-3)
Jul 31, 2017
#1
+2339
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Before attempting to do this problem, you must understand the slope-intercept form of a line. It is the following:
$$y=mx+b$$
m = slope of the line
b = the y-int... |
# Series-Parallel Circuits
concept
As you might have guessed, most real circuits are not just series or just parallel. They are large, complicated messes that involve some components in series, some in parallel, and others in even stranger connections. When solving for a voltage, current, resistance or power in a real... |
# non homogeneous recurrence relation
I am trying to solve the non-homogeneous linear recurrence relation:
$$f(n) = 6f(n-1) - 5,\quad f(0) = 2.$$
How do I go about doing it? This is so different from solving a homogeneous recurrence relation.
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Here are some approaches technique 1 technique 2. – Mhenni Benghorbal M... |
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