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### How Many Sides Does A Circle Have?
Believe it or not, this was a question asked by a primary teacher. I guess I shouldn't be surprised, but in retrospect, I was stunned. Therefore, I decided this topic would make a great blog post.
The answer is not as easy as it may seem. A circle could have one curved side dep... |
# Solve the following
Question:
Let Sn denote the sum of the cubes of first n natural numbers and sn denote the sum of first n natural numbers. Then, write the value of
$\sum_{r=1}^{n} \frac{S_{r}}{s_{r}}$
Solution:
We know that, $S_{r}=1^{3}+2^{3}+3^{3}+\ldots+r^{3}=\left[\frac{r(r+1)}{2}\right]^{2}$
And, $s_{r}... |
## 1. Inequalities and Algebraic Solutions of Linear Inequalities in One Variable and their Graphical Representation
Chapter-6
Linear Inequalities
Inequalities and Algebraic Solutions of Linear Inequalities in One Variable and their Graphical Representation:
What is inequalities
• In mathematics, an inequality is ... |
# Probability
Birthday cake (GMVozd, iStockphoto)
Format
Subjects
Let's Talk Science
8.97
#### Share on:
Learn about the branch of mathematics that helps us predict what might happen known as probability.
## Introduction
Mathematics, in a very basic sense, describes relationships between numbers and other measura... |
Reading:
# Finding the Graph for an Equation
The graph for an equation is the set of points at which the equation is satisfied (that is, the $x$ and $y$-values that work!).
Let's look at a few examples.
## Example 1
To find the graph of the equation $y= 2x + 1$, we start by plotting some points at which the equati... |
# Fundamentals of Data Representation: Binary fractions
← Binary number system Binary fractions Two's complement →
## Binary Fractions
So far we have only looked at whole numbers (integers), we need to understand how computers represent fractions.
You should have learned at Primary School how a decimal fraction wo... |
## Thursday, October 11, 2012
### Calculator Tricks - Part 2
Fractions
Welcome to Part 2 of the Calculator Tricks series. We are using a simple ("four banger" calculator) to tackle common mathematical problems. If you missed Part 1,
you can check it right here by clicking on this link.
Simple Fractions
Simple calc... |
# ML Aggarwal Solutions for Class 6 Maths Chapter 9 - Algebra
ML Aggarwal Solutions for Class 6 Maths Chapter 9 – Algebra are provided here to help students understand the concepts clearly and score well in their board exams. This Chapter mainly deals with problems related to algebraic expressions. Students who aim to... |
What Are Numbers? Practicing 9 & 10
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Print Lesson
Objective
Students will be able to use a ten frame to name and count numbers nine and ten.
Big Idea
A ten frame provides a model for students as they learn numbers and practice counting.
Problem of the Day
5 minutes
I start the lesson ... |
Study S3 Mathematics Linear Inequalities - Geniebook
# Linear Inequalities
• Solving Linear Inequalities
• Illustrating solutions on a number line.
• Solving Simultaneous Linear Inequalities
• Illustrating solutions on a number line.
## Solving Linear Inequalities
Example 1:
Solve $$x + 4 > 10$$ and illustrate th... |
You are on page 1of 90
RELATIONS AND
FUNCTIONS
I. INTRODUCTION AND FOCUS QUESTIONS
Have you ever asked yourself how the steepness of the mountain affects the
speed of a mountaineer? How does the family’s power consumption affect the amount
of the electric bill? How is a dog’s weight affected by its food consumption... |
# How do you solve 2^ { 2x } - ( 2^ { x + 2} ) - 32= 0?
Apr 29, 2017
$x = 3$
#### Explanation:
First of all, you should know that any number of the form ${a}^{b c}$ can be written in the form ${\left({a}^{b}\right)}^{c}$ or ${\left({a}^{c}\right)}^{b}$ or vice-versa.
i.e. ${a}^{b c} = {\left({a}^{b}\right)}^{c} = ... |
# What Is 30 percent of 90 + Solution with Free Steps
In this calculation, 27 is equal to 30% of 90. 90 times a factor of 0.3 will yield the solution to this problem.
The answer to the problem of finding 30% of 90 is one that is commonly used in the actual world. Consider the situation of renting a property, for inst... |
English
Simple math mind reading number trick which helps you to impress anyone willing to listen. This is a magic tricks to be played with your friends to read their mind and tell what number they are thinking.
## Math Magic Tricks
##### Trick 1:
Step 1: Ask your friend to think of a number in mind.
Step 2: Then a... |
# Solve by substitution 3x - 4y = 9, 2x + y = 6
Move all terms not containing `y` to the right-hand side of the equation.
`3x-4y=9`
`y=6-2x`
Since the equation was solved for `y` , replace all occurrences of `y` in the other equations with the solution `(6-2x)` .
`3x-4(6-2x)=9 `
Multiply `-4` by each term inside t... |
Review question
# Can we find the area between $\sin x$ and $\sin 2x$? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource
Ref: R9184
## Solution
Using the same axes, sketch the curves $y = \sin x$ and $y = \sin 2x$ from $x = 0$ to $\tfra... |
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# Mensuration 2D
• Difficulty Level : Easy
• Last Updated : 02 Sep, 2021
Mensuration 2D mainly deals with problems on perimeter and area. The shape is two dimensional, such as triangle, square, rectangle, circle, parallelogram, etc. This topic does not has many variations and most of the questions a... |
## ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 15 Data Handling Ex 15.5
Question 1.
Find the median of the following data:
(i) 3, 1, 5, 6, 3, 4, 5
(ii) 3, 1, 5, 6, 3, 4, 5, 6
Solution:
(i) Arrange the data in ascending order
We get, 1, 3, 3, 4, 5, 5, 6
∴ Median = $$\left(\frac{n+1}{2}\right)^{t h}$$ term
= $$... |
# A NEW SCHOOL YEAR
Date of the Problem
August 28, 2023
When Riya’s alarm went off on the first day of her senior year in high school, she hit the snooze button and slept for another 10 minutes. When the alarm sounded the next time, Riya got up and immediately brushed and flossed her teeth, which took 5 minutes. A ha... |
# A cylindrical vessel with internal diameter 10 cm and height 10.5 cm
Question:
A cylindrical vessel with internal diameter 10 cm and height 10.5 cm is full of water. A solid cone of base diameter 7 cm and height 6 cm is completely immersed in water. Find the volume of water
(i) displaced out of the cylinder
(ii) le... |
## What is the domain and range of f/x x?
The domain of f(x)=x is the whole of the real numbers R . The range is also the whole of R .
## How do you find the domain and range of a function in FX?
To find the excluded value in the domain of the function, equate the denominator to zero and solve for x . So, the domain... |
# What is the probability of getting a total of either 7 or 11 in a single throw with two dice?
Contents
So, the total is 8 pairs that would give either a sum of 7 or 11. 8/36 or 2/9, 22.22%. Nearly a 1 in 4 chance of getting 7 or 11.
## What is the probability of rolling either a 7 or 11 on a single roll of a pair ... |
Incenter Theorem – Definition, Conditions and Examples
The incenter theorem shows that the angle bisectors dividing the triangle’s vertices are concurrent. This theorem establishes the properties and formula of incenters, inradius, and even incircles. These properties and theorem open a wide range of applications and ... |
# Differentiation Examples
The method of finding the derivative of a function is called differentiation. In this section, we’ll see how the definition of the derivative can be used to find the derivative of different functions. Later on, once you are more comfortable with the definition, you can use the defined rules ... |
# Vectors. Definitions Scalar – magnitude only Vector – magnitude and direction I am traveling at 65 mph – speed is a scalar. It has magnitude but no direction.
## Presentation on theme: "Vectors. Definitions Scalar – magnitude only Vector – magnitude and direction I am traveling at 65 mph – speed is a scalar. It has ... |
Practice Questions: Arithmetic Progressions
# Class 10 Maths Chapter 5 Practice Question Answers - Arithmetic Progressions
## Questions
1. Find the value of ‘p’ if the numbers x, 2x + p, 3x + p are three successive terms of the AP.
2. Find p and q such that: 2p, 2p + q, p + 4q, 35 are in AP
3. Find a, b and c su... |
Showing that for $n\geq 3$ the inequality $(n+1)^n<n^{(n+1)}$ holds
I aim to show that $$(n+1)^n<n^{(n+1)}$$ for all $n \geq 3$.
I tried induction, but it didn’t work. What should I do?
Solutions Collecting From Web of "Showing that for $n\geq 3$ the inequality $(n+1)^n<n^{(n+1)}$ holds"
Assume for contradiction tha... |
1. As an isosceles triangle, the length of 2 sides of a special triangle 45 45 90 is always the same. This is represented by the letter a in the diagram above. As a result of the same length, a corresponding property of these two sides is that they have angles of the same size. This can be seen in both 454545° angles i... |
Arbitrary angles and also the unit circleWe’ve used the unit one to specify the trigonometric attributes for acute angle so far. We’ll need more than acute angles in the next section where we’ll look at oblique triangles. Part oblique triangles space obtuse and we’ll require to recognize the sine and also cosine that o... |
# FUNDAMENTAL PRINCIPLE OF COUNTING PROBLEMS
Problem 1 :
A mobile phone has a passcode of 6 distinct digits. What is the maximum number of attempts one makes to retrieve the passcode?
Solution :
The passcode must be formed using the following digits
0, 1, 2, 3, 4, 5, 6, 7, 8, 9
Each digits must be different.
Tot... |
In an increasingly data-driven world, it is more important than ever for students as well as professionals to better understand basic statistical concepts. 100 Questions (and Answers) About Statistics addresses the essential questions that students ask about statistics in a concise and accessible way. It is perfect for... |
# Find the derivative of the function f(x)=2x2+3x−5at x=1. Also prove that f′(0)+3f′(−1)=0.
Video Solution
Text Solution
Generated By DoubtnutGPT
## To find the derivative of the function f(x)=2x2+3x−5 at x=1 and prove that f′(0)+3f′(−1)=0, we will follow these steps:Step 1: Find the derivative f′(x)The function is g... |
# What is a Proportion in Math? - Definition & Practice Problems
Coming up next: What is Compound Interest? - Definition, Formula & Examples
### You're on a roll. Keep up the good work!
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# Calculus 1 : Meaning of Functions
## Example Questions
### Example Question #61 : How To Find The Meaning Of Functions
Find the slope of the tangent line equation for when .
Explanation:
To find the slope, we need to differentiate the given function. By product rule and chain rule, we have
### Example Question... |
# Law of Cosines
The Law of Cosines, also called Cosine Rule or Cosine Law, states that the square of a side of a triangle is equal to the sum of the squares of the other two sides minus twice their product times the cosine of their included angle.
## Law of Cosines formula
If a, b, and c are the lengths of the side... |
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# GCF of Two Numbers
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## What Are The Factors?
In Mathematics, factors are those numbers which on multiplication gives us the original number. Factors are alway... |
Lesson Objectives
• Demonstrate an understanding of a Linear Equation in Two Variables
• Demonstrate an understanding of Ordered Pair Solutions (x,y)
• Learn the definition of a relation in math
• Learn the definition of a function in math
• Learn how to determine if a relation represents a function
## What is a Funct... |
Home | | Maths 7th Std | Exercise 2.1 (Area and Perimeter of the Parallelogram)
# Exercise 2.1 (Area and Perimeter of the Parallelogram)
7th Maths : Term 1 Unit 2 : Measurements : Exercise 2.1 : Text Book Back Exercises Questions with Answers, Solution
Exercise 2.1
1. Find the area and perimeter of the following pa... |
### Chap 4: Algebra Puzzle... (to be completed by 21 March 2010)
Attempt the Algebra Puzzle at: http://www.mathplayground.com/algebra_puzzle.html
• There are 2 levels.
• Attempt the 3x3 grid until you are able to find the solution of the puzzle.
• Present your solution (together with the screen capture that shows the... |
# Solve the following equations
Question:
If $A=\left[\begin{array}{ccc}-1 & 2 & 3 x \\ 2 y & 4 & -1 \\ 6 & 5 & 0\end{array}\right]$ is a symmetric matrix, then the value of $2 x+y$ is______
Solution:
A matrix $X$ is a symmetric matrix if $X^{T}=X$
It is given that, the matrix $A=\left[\begin{array}{ccc}-1 & 2 & 3... |
# CLASS 9 MATH NCERT SOLUTION FOR CHAPTER – 5 Introduction to Euclid’s Geometry Ex – 5.1
### Introduction to Euclid’s Geometry
Page: 85
1. Which of the following statements are true and which are false? Give reasons for your answers.
(i) Only one line can pass through a single point.
(ii) There are an infinite num... |
What is symmetry in a circle?
Symmetry in a Circle A circle is symmetrical about any of its diameter. By symmetrical, we mean that the circle can be divided into two congruent parts by any of its diameter.
Are circles symmetric with respect to the origin?
Show algebraically that a circle with center at the origin is... |
Thread: Parabolic Arch Bridge
1. Parabolic Arch Bridge
A bridge is to be built in the shape of a parabolic arch and is to have a span of 100 feet. The height of the arch, a distance of 40 feet from the center, is to be 10 feet. Find the height of the arch at its center.
2. Originally Posted by magentarita
A bridge i... |
# Alabama - Grade 1 - Math - Operations with Numbers: Base Ten - Counting to 120 - 10
### Description
Extend the number sequence from 0 to 120. a. Count forward and backward by ones, starting at any number less than 120. b. Read numerals from 0 to 120. c. Write numerals from 0 to 120. d. Represent a number of objects... |
# Patterns in Numbers
We see so many patterns around us in our daily life. We know that a pattern is an arrangement of objects, colors, or numbers placed in a certain order. Some patterns neither grow nor reduce but only repeat. Such patterns are known as repeating patterns. A pattern has a group of units that follow ... |
# Graphs of Cubic Functions
Mark Lewis, Benjamin Rosenthal
• Author
Mark Lewis
Mark has taught college and university mathematics for over 8 years. He has a PhD in mathematics from Queen's University and previously majored in math and physics at the University of Victoria. He has extensive experience as a private tut... |
# How do you solve and write the following in interval notation: x(x-2)(x+1)>0?
Feb 12, 2017
The answer is x in ]-1, 0[uu]2, +oo[
#### Explanation:
Let $f \left(x\right) = x \left(x - 2\right) \left(x + 1\right)$
Now, we build the sign chart
$\textcolor{w h i t e}{a a a a}$$x$$\textcolor{w h i t e}{a a a a a}$$- ... |
# What is the history of Pythagoras?
## What is the history of Pythagoras?
Little of what is known about Pythagoras comes from contemporary accounts, and the first fragmentary accounts of his life came in the fourth century bce, about 150 years after his death. Pythagoras was born in Samos and likely went to Egypt an... |
# Logarithmic Equations
We can use the laws of logarithms to write equations in a different form. This can be particularly useful if an unknown appears as an index (exponent). $$2^x=7$$ For the logarithmic function, for every value of $y$, there is only one corresponding value of $x$. $$y=5^x$$ We can therefore take t... |
# `y < 2x + 3` Determine whether (0, 0) satisfies each inequality.
lritchey7 | Certified Educator
A linear inequality describes an area of the coordinate plane that has a boundary line. Every point in that region is a solution of the inequality.
In simpler speak, a linear inequality is just everything on ONE side of ... |
# Statistics : Exercise - 14.2 (Mathematics NCERT Class 10th)
Q.1 The following table shows the ages of the patients admitted in a hospital during a year :
Find the mode and the mean of the data given above. Compare and interpret the two measures of central tendency.
Sol. The class 35 – 45 has the maximum ... |
## Content
### Algebraic manipulation
#### Simplification
An algebraic expression consists of pronumerals, numbers and operations. Only like terms can be added or subtracted.
#### Example
Simplify
$3x^2-4xy+3x-7-5y+2yx+12x^2-8x+7.$
#### Solution
$$3x^2-4xy+3x-7-5y+2yx+12x^2-8x+7 = 15x^2-2xy-5x-5y$$.
Note that ... |
Algebra and Trigonometry 2e
# 11.6Solving Systems with Gaussian Elimination
Algebra and Trigonometry 2e11.6 Solving Systems with Gaussian Elimination
## Learning Objectives
In this section, you will:
• Write the augmented matrix of a system of equations.
• Write the system of equations from an augmented matrix.
• ... |
The sides of a triangle are 12 cm, 35 cm and 37 cm respectively. Find its area.
Given:
The sides of a triangle are 12 cm, 35 cm and 37 cm respectively.
To do:
We have to find the area of the triangle.
Solution:
We can use heron's formula to find the area of the triangle:
Semi perimeter ( s) $=\ \frac{a\ +\ b\ +\... |
Lesson Explainer: Volumes of Triangular and Quadrilateral Pyramids | Nagwa Lesson Explainer: Volumes of Triangular and Quadrilateral Pyramids | Nagwa
# Lesson Explainer: Volumes of Triangular and Quadrilateral Pyramids Mathematics
In this explainer, we will learn how to find volumes of triangular or quadrilateral pyr... |
# Maths is Fun!
One of the clearest memories I have from my grammar school, Sir Joseph Williamson's Mathematical School in Rochester, Medway ("The Maths School" or "The Math" for short) is of my maths teacher, Mr Fry, telling us that "Maths is Fun!" I never really believed him at the time, but I am coming round to tha... |
# Crime Analysis for Problem Solvers in 60 Small Steps
After collecting your data you need to know what it is telling you. Suppose you collected incidents of assaults on taxi drivers. Are assaults concentrated among a very few drivers? Are the assaults concentrated on some days of the week or times of day?
To answer ... |
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# Transformation of Exponential Functions
Sep 15, 2022
## Key Concepts
• Move the graph of an exponential function vertically.
• Explain about the horizontal translation of an exponential graph.
• Compare two different transformations of f(x)=2
### Transformation of Exponentia... |
# 2011 AMC 12A Problems/Problem 8
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
## Problem
In the eight term sequence $A$, $B$, $C$, $D$, $E$, $F$, $G$, $H$, the value of $C$ is $5$ and the sum of any three consecutive terms is $30$. What is $A+H$?
$\textbf{(A)}\ 17 \qquad \textbf{(B)}\... |
# Top 10 4th Grade MCAS Math Practice Questions
The best way to prepare for your 4th Grade MCAS Math test is to work through as many 4th Grade MCAS Math practice questions as possible. Here are the top 10 4th Grade MCAS Math practice questions to help you review the most important 4th Grade MCAS Math concepts. These 4... |
# Samacheer Kalvi 11th Maths Solutions Chapter 2 Basic Algebra Ex 2.5
## Tamilnadu Samacheer Kalvi 11th Maths Solutions Chapter 2 Basic Algebra Ex 2.5
Question 1.
Solve 2x2 + x – 15 ≤ 0.
Solution:
To find the solution of the inequality
ax2 + bx + c ≥ 0 or ax2 + bx +c ≤ 0 (for a > 0)
First we have to solve the quadrat... |
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# Solution for A Window in the Form of a Rectangle is Surmounted by a Semi-circular Opening. the Total Perimeter of the Window is 10 M. Find the Dimension of the Rectangular of the Window to Admit - CBSE (Commerce) Class 12 - Mathematics
#### Question
A window in the form of a rectangle is sur... |
# Estimating the Area and Circumference of a Circle with Regular Polygons (for fun!).
As a student you were most likely forced to remember the area and circumferece of a circle. Suppose we wanted to estimate this using some elementary means and suppose further that we're trying to show this to someone who has never se... |
<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
You are viewing an older version of this Concept. Go to the latest version.
Exponential Terms Raised to an Exponent
Multiply to raise exponents to other exponents
Estimated7 minsto comp... |
NCERT Solutions for Class 10 Maths Arithmetic Progressions | NCERT Arithmetic Progressions
1. Introduction
2. Arithmetic Progressions
3. nth Term of an AP
4. Sum of First n Terms of an AP
5. Summary
# Rs. 590
* Inclusive of all taxes
• ### Enroll Now & Experience SCOREX
Chapter5- Arithmetic Progression
Course f... |
# ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 7 Percentage Ex 7.1
## ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 7 Percentage Ex 7.1
Question 1.
Express the following percentages as fractions:
(i) 356%
(ii) $$2 \frac{1}{2}$$%
(iii) $$16 \frac{2}{2}$$%
Solution:
Question 2.
Express the following fra... |
# Question: At Least 1 Even Number
## Comment on At Least 1 Even Number
### In this question, the total
In this question, the total no. of possible outcomes is not 10c2, as if two no are selected randomly, these can be the outcomes (23,24,25,26,32,34,35,36,42,43,45,46,52,53,54,56,62,63,64,65), i.e 20 outcomes.Howeve... |
# KSEEB Solutions for Class 7 Maths Chapter 4 Simple Equations Ex 4.2
Students can Download Chapter 4 Simple Equations Ex 4.2, Question and Answers, Notes Pdf, KSEEB Solutions for Class 7 Maths, Karnataka State Board Solutions help you to revise complete Syllabus and score more marks in your examinations.
## Karnatak... |
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The expression $\sqrt{-x^{2}+6 x-5}$ has a
(A) maximum value of 2
(B) minimum value of 2
(C) maximum value of 3
(D) $\quad$ minimum value of 3
| 68 views
0 like 0 dislike
D- a minimum value of 3
Explanation:
$\sqrt{-x^{2}+6 x-5}$
Simplify/rewrite:
$\sqrt{-(x-5)(x-1)}$
Roots/zeros found ... |
# How to Use MyMathLab’s Step-By-Step Solver Effectively
Are you struggling with quadratic equations in MyMathLab? If so, you’re not alone. Fortunately, MyMathLab’s step-by-step solver feature can help you solve these tricky problems and gain a solid understanding of quadratic equations.
In this guide, we will explor... |
# Calculation of volumes by direct integration
In this section we will introduce the most general method for the calculation of volumes in space. In the same way as we did in the case of surfaces on the plane, the method to calculate volumes is to integrate the function $$1$$ (integral in the sense of $$\mathbb{R}^3$$... |
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# A wire of length $l$ is bent in the form of a quarter circle. The M.I of the wire about an axis passing through the centre of the quarter circle and touching one end of the wire in the plane is (${\pi ^2} = 10$)(A) $0.4m{l^2}$(B) $0.6m{l^2}$(C) ... |
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# 1.1: Addition of Integers
Difficulty Level: Advanced Creat... |
# Solving 72x2+72x+-73 using the Quadratic Formula
For your equation of the form "ax2 + bx + c = 0," enter the values for a, b, and c:
a x2 + b x + c = 0
Reset
You entered:
72x2+72x+-73=0.
There are two real solutions: x = 0.62422813026934, and x = -1.6242281302693.
## Here's how we found that solution:
You ente... |
# Number Theory – Factors Questions
Number Theory is one of the heavily tested topics in CAT and is probably best to practice a lot of questions in this topic.
This is a very interesting topic to prepare for and a fun topic if you go about it the right way. I have given two questions on Number Theory – on the topic of... |
Before girlfriend go v this article, make sure that you have gone through the previous short article on Basics of Number System.
You are watching: How to convert base 10 to base 8
In number system,
that is an extremely important to have a good knowledge of exactly how to convert numbers from one basic to another bas... |
Book Free Trial Class: +92-316-1084843
The two underlying mathematical operations in Calculus are Differentiation & Integration. These operations involve the computation of the derivative and the definite integral, each based on the notions of limit and continuity. Indeed, continuous function is the most important cla... |
What are the multiples of 48?
What are the multiples of 48?
Solution: The first ten multiples of 48 are, 48, 96, 144, 192, 240, 288, 336, 384, 432 and 480.
What is the product of 48?
Positive Pair Factors of 48FactorsPair Factors2 × 24 = 482, 243 × 16 = 483, 164 × 12 = 484, 126 × 8 = 486, 8
What is the LCM of 48?
... |
# Hardest equation
There is Hardest equation that can make the technique much easier. Our website can solving math problem.
## The Best Hardest equation
In this blog post, we discuss how Hardest equation can help students learn Algebra. For example, if you have the equation 2^x=8, you can take the logarithm of both ... |
Level 7, Lesson 2
Sample Teacher Lesson Plan and Student Resource Sheets
DIRECTED MATH ACTIVITY – Level 5, Lesson 20 Lesson Objective Reduce fractions to lowest terms Word Problem Objective Find average to solve a word problem.
Materials/Manipulatives Deck of cards (remove the face cards), fraction b... |
# How do you write the standard form of the equation of the circle with the given the center (-3,1) and radius of 7?
Jan 5, 2016
${\left(x + 3\right)}^{2} + {\left(y - 1\right)}^{2} = 49$
#### Explanation:
The standard form of the equation for a circle is
${\left(x - h\right)}^{2} + {\left(y - k\right)}^{2} = {r}^... |
# Identify the domain and range from a table of values, graph, or a word description of a relation
The domain of the relation is the set of the first elements in the ordered pair.
The range of the relation is the set of the second elements in the ordered pair.
REMEMBER:
Relation:
set of ordered pairs
In ordered pairs... |
# How do you find the area of a rectangle and circle?
Category: science space and astronomy
5/5 (1,509 Views . 28 Votes)
The formula to find the area of a rectangle is egin{align*}A = lwend{align*}. The formula to find the area of a circle is egin{align*}A= pi r^2end{align*}. To find the area of a composite shape, sim... |
# Find an odd natural number x such that LCM (x, 40) = 1400
## For 40 the prime factorization is:
2³ ∙ 5¹
For 1400 the prime factorization is:
2³ ∙ 5² ∙ 7¹
Since x is an odd number, the factor 2³ must be discarded.
The number x can be written as:
x = 5ᵐ ∙ 7ⁿ
where
m ≤ 2
because in factorization the largest ex... |
Congruence (geometry) explained
In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.[1]
More formally, two sets of points are called congruent if, and only if, one can be transformed into the other by an isometr... |
# What is the slope-intercept form of the line passing through (4, 5) and (2, 2) ?
Feb 24, 2016
$y = \frac{3}{2} x - 2$
The equation for slope intercept is $y = m x + b$
For this equation the slope $m = \frac{3}{2}$
and the y intercept is $b = - 2$
#### Explanation:
The formula for slope is $m = \frac{{y}_{2} - {y... |
# How do you solve 3x^2 + 18x - 12 = 0?
Nov 26, 2015
The solutions are
color(blue)(x =(-9+sqrt(117))/3
color(blue)(x =(-9-sqrt(117))/3
#### Explanation:
$3 {x}^{2} + 18 x - 12 = 0$
The equation is of the form color(blue)(ax^2+bx+c=0 where:
$a = 3 , b = 18 , c = - 12$
The Discriminant is given by:
color(blue)(Del... |
What are the altitudes of a parallelogram?
The altitude of a parallelogram is the line segment perpendicular to one pair of sides with one endpoint on one of these sides of the parallelogram, and the other endpoint on the line containing the opposite side of the parallelogram.
What is the altitude of an equilateral?
... |
# What is 1/624 Simplified?
Are you looking to calculate how to simplify the fraction 1/624? In this really simple guide, we'll teach you exactly how to simplify 1/624 and convert it to the lowest form (this is sometimes calling reducing a fraction to the lowest terms).
To start with, the number above the line (1) in... |
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# Notes | EduRev
## Class 9 : Notes | EduRev
The document Notes | EduRev is a part of the Class 9 Course Mathematics (Maths) Class 9.
All you need of Class 9 at this link: Class 9
SECTION - A
Questions 1 to 20 carry 1 mark each.
Q.1. The total number of terms in the expansion of (x + a)501 + (x - a)501 is ... |
# How do you graph 4x+y=0?
Mar 5, 2018
graph{y=-4x [-10, 10, -5, 5]}
#### Explanation:
To solve this equation, first move the $4 x$ to the other side to make the $y$ by itself. Do this by subtracting $4 x$ from each side.
$y + 4 x - 4 x = 0 - 4 x$
Simplify
$y = - 4 x$
Once you simplify, plug in random values fo... |
# How do you find the roots, real and imaginary, of y=4x^2 + -7x -(x-2)^2 using the quadratic formula?
Aug 23, 2017
$x = \frac{3 + \sqrt{57}}{6} ,$ $\frac{3 - \sqrt{57}}{6}$
#### Explanation:
Solve:
$y = 4 {x}^{2} + \left(- 7 x\right) - {\left(x - 2\right)}^{2}$
Expand ${\left(x - 2\right)}^{2}$.
$y = 4 {x}^{2}... |
# 3.1: Measuring space with Cartesian coordinates
A convenient way to measure space is to assign to each point a label consisting of three numbers, one for each dimension. We begin by choosing a single point to serve as the origin. The location of any point can now be quantified by its position vector, the vector exte... |
P. 1
mathlabx[1]
# mathlabx[1]
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### Availability:
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01/30/2012
pdf
text
original
Objective
To give a suggestive demonstration of the formula for the
lateral surface area of a cone.
chart papers,
a pair of scissors,
gum.
Materials required
Pre-requisite knowledge
1.The lat... |
# Objectives for Hypothesis Testing - PowerPoint PPT Presentation
1 / 17
Objectives for Hypothesis Testing. Simple Regression B. Hypothesis Testing Calculate t-ratios and confidence intervals for b 1 and b 2 . Test the significance of b 1 and b 2 with: T-ratios Prob values Confidence intervals. Explain the meaning of... |
# 44 Practice Exercises
## Multiple Choice Questions
Exercise: Separable Differential Equations
Which of the following is not a separable differential equation?
a) $\frac{t^{2}}{C_{A}} = 4*C_{A}\frac{dC_{A}}{dt}$
b) $\frac{t^{2}}{T} = 3*T \frac{dT}{dt}$
c) $\frac{dM_{A}}{dt} + e^{M_{A} + t} = 0$
d) $\frac{-2t + ... |
Class 6 Maths Knowing Our Numbers Measuring Large Numbers or Quantities
Measuring Large Numbers or Quantities
We use units to measure large quantities.
Type Quantity Conversion Used to Measure Length Millimeter (mm) N/A eg. thickness of pencil Length Centimeter (cm) 1 cm = 10 mm eg. length of a pencil Length Meter ... |
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8.1 Order of operations
The order in which you carry out operations can make a big dif... |
## Equation of a Tangent Line: Problems and Solutions
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Anonymous
3 months ago
Find the slope of the tangent line to the graph of the following functions?
f(x) = x² + 4
f(x) = 1 – x³
Matheno
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3 months ago
Thanks for asking. Following the steps above will get you the a... |
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# Find five rational numbers between:(i) $\dfrac{2}{3}{\rm{ }}\,and\,{\rm{ }}\dfrac{4}{5}$(ii) $\dfrac{{ - 3}}{2}{\rm{ }}\,and\,{\rm{ }}\dfrac{5}{3}$ (iii) $\dfrac{1}{4}{\rm{ }}\,and\,{\rm{ }}\dfrac{1}{2}$
Last updated date: 20th Jun 2024
Total v... |
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