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SSC BOARD PAPERS IMPORTANT TOPICS COVERED FOR BOARD EXAM 2024
### If [2a+b3a-bc+2d2c-d]=[234-1], find a, b, c and d.
Exercise 2.2 | Q 14 | Page 47
#### QUESTION
If $\left[\begin{array}{cc}2\text{a}+\text{b}& 3\text{a}-\text{b}\\ \text{c}+2\text{d}& 2\text{c}-\text{d}\end{array}\right]=\left[\begin{array}{cc}2& 3\\ ... |
# How many integer pairs $(x,y)$ satisfy $|x|^m+|y|^m=r$
First let me put the question succinctly:
For whole numbers $m$ and $r$ how many integer pairs $(x,y)$ satisfy the equation $|x|^m+|y|^m=r$?
Now for exposition:
For some motivations to this questions check out: Computing $\beta(\frac{1}{m},\frac{1}{m})$
For ... |
## Algebra 1: Common Core (15th Edition)
The x-intercept is $4$. The y-intercept is $\frac{-8}{5}$
To find the x-intercept and y-intercept of the line, we first need to find the equation of the line. We can use the two points given to formulate the point-slope form. Let's first find the slope: $m=\frac{y_2-y_1}{x_2-x_... |
# ordinary differential equation
mathematics
Also known as: ODE
Related Topics:
differential equation
ordinary differential equation (ODE), in mathematics, an equation relating a function f of one variable to its derivatives. (The adjective ordinary here refers to those differential equations involving one variable, ... |
# RS Aggarwal Chapter 10 Class 9 Maths Exercises 10.2 (ex 10b) Solutions
RD Sharma Chapter 10 Class 9 Maths Exercise 10.2 Solutions: You have studied many properties of a triangle in Chapters 6 and 7 and you know that on joining three non-collinear points in pairs, the figure so obtained is a triangle. Now, let us mar... |
# ISEE Upper Level Math : How to find mode
## Example Questions
### Example Question #11 : Mode
What is the mode of the following set of numbers?
Explanation:
To determine the mode, you need to identify which number appears most frequently in the set of numbers.
In this set of numbers, the number 2 shows up three... |
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# Variable Acceleration
Variable acceleration is a situation where there is a difference in the average acceleration within different points along the path of an object in motion.
#### Create learning materials about Variable Acceleration with our free learning app!
• Flashcar... |
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The teaching of number operation Mixed Operations
MIXED OPERATIONS
In this chapter,
34 8 2 = ?
Introduction
Examples of mixed operation situation
The conventional in mixed operations
- Multiplication and Division
- Subtraction and Multiplication
- Subtraction and Division
- Bracket.
Summary
... |
# What is mean data?
## What is the mean of the data?
The mean is the same as the average value of a data set and is found using a calculation. Add up all of the numbers and divide by the number of numbers in the data set. The median is the central number of a data set. … Count how many times each number occurs in th... |
# Question #db8e2
Jul 10, 2016
For increasing you have to find out where the first derivative is positive, for decreasing where first derivative is negative
#### Explanation:
Let's calculate the first derivative of the function $f \left(x\right)$:
$\left[\left(x + 2\right) \cdot {e}^{-} x\right] '$ = $\left(x + 2\... |
# Search by Topic
#### Resources tagged with Working systematically similar to Children's Mathematical Writing:
Filter by: Content type:
Stage:
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### There are 321 results
Broad Topics > Using, Applying and Reasoning about Mathematics > Working systematically
### Round the Dice Decimals 1
##### Sta... |
# Executive Assessment: Quant Strategies for Faster Solutions – Part 1
by on October 27th, 2017
The Executive Assessment (EA) shares a lot of roots with the GMAT, GMAC’s flagship graduate business school exam. The Quant section covers almost all of the same material and uses the same question types, and the Integrate... |
# All Divisors of 8
The divisors of 8 are those numbers that completely divide 8 with the remainder zero. In this section, we will discuss about divisors of 8.
## Highlights of Divisors of 8
• Divisors of 8: 1, 2, 4 and 8
• Negative divisors of 8: -1, -2, -4 and -8
• Prime divisors of 8: 2
• Number of divisors of 8:... |
Stage 2 whole numbers
Strategies
Students can:
• use place value to read, represent and order numbers up to four digits
• record numbers using expanded notation
Activities to support the strategies
Students in Stage 1 and 2 need to develop an understanding of place value. For example, in the number 3450, the ‘four... |
1. ## Two Math Questions.
1. (-2, 2) reflected through the origin is:
A. (2, 2)
B. (2, -2)
C. (-2, 2)
D. (-2, -2)
20. A picture measures 16 inches wide by 20 inches long. If the frame is to be 20 inches wide. What is the scale factor of the frame as a dilation of the picture, and what is the length of the frame?
A.... |
# Solving Equations with Two Variables
Related Topics:
More Lessons for GRE Math
Math Worksheets
This lesson is part of a series of lessons for the quantitative reasoning section of the GRE revised General Test. In this lesson, we will learn:
• Linear Equations in Two Variables
• Solving Simultaneous Equations
• Us... |
# (7a+5b)−(5a−7b) = I do not know the method to answering this question.
embizze | Certified Educator
First, you want to look at the instructions for the problem or set of problems. Look for the words evaluate, simplify, or solve. These are the key words that tell you what actions to take and the form of your answer.... |
For Educational Use Only © 2010 10.5 Factoring x 2 + bx + c Brian Preston Algebra 1 2009-2010.
Presentation on theme: "For Educational Use Only © 2010 10.5 Factoring x 2 + bx + c Brian Preston Algebra 1 2009-2010."— Presentation transcript:
For Educational Use Only © 2010 10.5 Factoring x 2 + bx + c Brian Preston Alg... |
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# INTRODUCTION TO SINGAPORE MATH
Welcome to Singapore Math! The math curriculum in Singapore has been recognized worldwide for its excellence in producing students highly skilled in mathematics.
Students in Singapore have ranked at the top in the world in mathematics on the Trends in Internati... |
## Precalculus (6th Edition) Blitzer
We have the expression on the left side $\frac{1}{\sin t-1}+\frac{1}{\sin t+1}$, which can be simplified by multiplying and dividing the expression by $\sin t+1$ and $\sin t-1$, and then further simplifying by using the algebraic formula $\left( a+b \right)\left( a-b \right)={{a}^{... |
# Objectives The student will be able to:
## Presentation on theme: "Objectives The student will be able to:"— Presentation transcript:
Objectives The student will be able to:
1. solve equations with variables on both sides. 2. solve equations containing grouping symbols. Designed by Skip Tyler, Varina High School
1... |
# NCERT Solutions for Class 7 Maths Chapter 12 Algebraic Expressions InText Questions
These NCERT Solutions for Class 7 Maths Chapter 12 Algebraic Expressions InText Questions and Answers are prepared by our highly skilled subject experts.
## NCERT Solutions for Class 7 Maths Chapter 12 Algebraic Expressions InText Q... |
# System of First Order Differential Equations
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## Transcription
1 CHAPTER System of First Order Differential Equations In this chapter, we will discuss system of first order differential equations. There are m... |
Rd Sharma 2019 Solutions for Class 8 Math Chapter 14 Compound Interest are provided here with simple step-by-step explanations. These solutions for Compound Interest are extremely popular among Class 8 students for Math Compound Interest Solutions come handy for quickly completing your homework and preparing for exams.... |
## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)
$2(5c^3-3d)(5c^3+3d)$
$\bf{\text{Solution Outline:}}$ Get the $GCF$ of the given expression, $50c^6-18d^2 .$ Then use the factoring of the difference of $2$ squares. $\bf{\text{Solution Details:}}$ The $GCF$ of the terms is $2$ since it is t... |
## Do the angles in a triangle always add to 180?
A triangle’s angles add up to 180 degrees because one exterior angle is equal to the sum of the other two angles in the triangle.
In other words, the other two angles in the triangle (the ones that add up to form the exterior angle) must combine with the third angle t... |
# Question 4:
The digits of a positive number of three digits are in A.P. and their sum is 15. The number obtained by reversing the digits is 594 less than the original number. Find the number.
## Solution:
Let the required three digits in A.P. of three digit number = (a – d), a, (a + d)
Now, a – d + a + a + d ... |
# How you can Practice Chebyshev’s Theorem in Excel
Chebyshev’s Theorem states that for any quantity ok more than 1, a minimum of 1 – 1/ok2 of the information values in any formed distribution lie inside of ok usual deviations of the cruel.
As an example, for any formed distribution a minimum of 1 – 1/32 = 88.89% of ... |
# Proving Average Rate of Change
## Presentation on theme: "Proving Average Rate of Change"— Presentation transcript:
Proving Average Rate of Change
Key Concepts: The rate of change is a ratio describing how one quantity changes as another quantity changes. Slope can be used to describe the rate of change. The slope... |
We show another application of Menalaus’s Theorem, that, together with some infinitesimal calculus, will yield an unexpectedly simple result.
Consider a square of side $$1$$ and divide the left and bottom sides into $$n$$ segments of equal length. Connect then their end points as shown in the Figures below, for $$n=3,... |
# What is the sum and product of roots of cubic equation?
## What is the sum and product of roots of cubic equation?
Find the sum of the squares of the roots of the cubic equation x 3 + 3 x 2 + 3 x = 3 x^3 + 3x^2 + 3x = 3 x3+3×2+3x=3….Relation between coefficients and roots:
Root expression Equals to
p q r pqr pqr −... |
35 percent of 4050
Here we will show you how to calculate thirty-five percent of four thousand fifty. Before we continue, note that 35 percent of 4050 is the same as 35% of 4050. We will write it both ways throughout this tutorial to remind you that it is the same.
35 percent means that for each 100, there are 35 of ... |
Perimeter
In Geometry, the word Perimeter is used either to indicate path or length. The word Perimeter comes from two Greek words "PERI" (which means around) and "METER"(which means measure). A Perimeter of any figure can be defined in various ways.
• A Perimeter of any polygon is the total distance along the outside... |
Elementary Algebra
$9$
We start with the given expression: $3xy-8y+5x$ We plug in the given values for $x$ and $y$: $3(7)(-2)-8(-2)+5(7)$ Order of operations states that first, we perform operations inside grouping symbols, such as parentheses, brackets, and fraction bars. Then, we simplify powers. Then, we multiply a... |
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## Ratio of the area of Square and Pentagon | AMC 8, 2013
Try this beautiful problem from Geometry: Ratio of the area between Square and Pentagon.
## Ratio of the area between Square and Pentagon – AMC-8, 2013 – Problem 24
Squares ABCD ,EFGH and GHIJ are equal in area .Points C and D are the mid points o... |
Q:
A box contains 3 coins. One coin has 2 heads and the other two are fair. A coin is chosen at random from the box and flipped. If the coin turns up heads, what is the probability that it is the two-headed coin? Is the answer 1/3? Was the answer intuitive?
Accepted Solution
A:
Answer: Our required probability is $$... |
# 0.10 Ch 10: hypothesis testing of two means and two proportions
Page 1 / 1
This module is the complementary teacher's guide for the "Hypothesis Testing: Two Population Means and Two Population Proportions" chapter of the Collaborative Statistics collection (col10522) by Barbara Illowsky and Susan Dean.
The compari... |
# Tallying it Up
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## Objective
SWBAT generate data flipping coins, record the data using tally marks, and count the tally marks by skip counting by fives.
#### Big Idea
In this collaborative lesson students will use "Head, or Tails" to learn how to tally count by fives and ... |
# How to Understand the Properties of Isosceles and Equilateral Triangles
Triangles, while seemingly simple, exhibit an array of fascinating characteristics. Among these are the symmetrical wonders - the isosceles and equilateral triangles. Steeped in congruence and perfect proportionality, these triangles stand out w... |
# How do you find the equation of the line that passes through (2,-3) and (-7, -3)?
Jun 11, 2018
color(blue)(y = -3
color(blue)( " is the equation of horizontal line with y-intercept = -3"
#### Explanation:
color(crimson)("Equation of a line that passes through two points is given by "
color(crimson)((y-y_1) / (y... |
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# Let ${a_1},{a_2}.........$ be positive real numbers in geometric progression. For each $n$ , let ${A_n},{G_n},{H_n}$ be respectively, the arithmetic mean, geometric mean & harmonic mean of ${a_1},{a_2}.........{a_n}$ . Find the expression for th... |
<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.
# Mental Math to Add and Subtract Decimals
## Group decimal and whole number parts to make mental addition and... |
# 8.3: Series of Real Numbers
$$\newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} }$$
$$\newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}}$$
$$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$
( \newcommand{\kernel}{\mathrm{null}\,}\) $$\ne... |
$$\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 \|}$$ $$... |
Introduction to Polynomial Expressions - Polynomial Expressions - High School Algebra I Unlocked (2016)
## High School Algebra I Unlocked (2016)
### Chapter 3. Polynomial Expressions
GOALS
By the end of this chapter, you will be able to:
•Define and explain polynomial expressions
•Combine polynomial expression... |
# Superposition Theorem Statement and Theory
Superposition Theorem is one of the simplified circuit analysis techniques.
Suppose there is an active network. Since it is an active network, there may be numbers of active sources acting simultaneously on the network.
## Statement of Superposition Theorem
Superposition... |
# Adding Fractions in 5 Simple Steps
Adding fractions (if they have different denominators) is not something you can easily work out how to do. You have to know a method. The method is not difficult and becomes second nature with practice.
Fractions with different denominators are incompatible, yo... |
# What Times What Equals 44? Solve the Mystery Here!
Do you find it difficult to solve mathematical equations? While most of us probably won’t be able to solve complicated mathematical problems, simple ones like “what times what equals 44” are quite easy to solve. In this article, we’ll solve the mystery behind the eq... |
# Percent Error – Explanation & Examples
Percent Error is used to calculate the relative or percent error between the experimental and the actual value. For example, we are trying to measure air pressure, and we know the actual value is 760mm Hg, but our experimental or measured value is 758 mm Hg. The relative differ... |
# Decimals and Fractions: Multiplying Decimals Cont’d
Lesson Progress
0% Complete
When we multiply decimals it’s usually easier to turn them into ordinary numbers first. We do this by simply multiplying them by numbers of 10,100,1000 etc. This allows us to do normal multiplication. When we find out the answer, we rev... |
<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
# Graphs of Exponential Functions
## Growth and decay functions with varying compounding intervals
Estimated9 minsto complete
%
Progress
Practice Graphs of Exponential Functions
MEMORY... |
Home » Pythagoras theorem class 10 » Pythagoras theorem class 10
# Pythagoras Theorem for Class 10- Formula and Proof
The Pythagoras theorem is one of the most crucial and fundamental concepts in mathematics. Pythagoras theorem is named after the Greek philosopher Pythagoras.
## Pythagoras Theorem Class 10
... |
Find for which value of the parameter $k$ a function is bijective
I have to draw (by hand obviously) the plot of the following function:
$$f(x)= 13\ln(\frac{x}{|x+1|})-12\ln (x+x^2) +kx,$$
for $k \in \mathbb{R}$. To do so, I have to study the first and second derivative, limits at infinity, and so on. Normally, I do t... |
CLAT > Squares, Square Roots, Cubes, Cube Roots
# Squares, Square Roots, Cubes, Cube Roots - Quantitative Techniques for CLAT
Table of contents SQUARES, SQUARE ROOTS, CUBES, CUBE ROOTS To determine whether a given number is a perfect square. Properties of Squares Some interesting facts: Square Roots Finding the sq... |
# How do you find the amplitude, period, vertical and phase shift and graph y=sintheta+0.25?
Jul 26, 2018
Below
#### Explanation:
$y = \sin \theta + 0.25$ can also be written as $y = 0.25 + \sin \theta$ which is in the form $y = b + a \sin \left(n \theta\right)$
where $a$ is the amplitude and $b$ is the shift upwar... |
Need solution for RD Sharma Maths Class 12 Chapter 8 Continuity Excercise 8.1 Question 10 Subquestion (vii)
Discontinuous
Hint:
For a function to be continuous at a point, its LHL RHL and value at that point should be equal.
Solution:
Given,
$f(x)=\left\{\begin{array}{c} \frac{2|x|+x^{2}}{x}, \text { if } x \neq ... |
Mathematics Class VII
Integers
Fractions and Decimals
Exponents and Powers
Algebraic Equations
Simple Linear Equations
Lines and Angles
Comparing Quantities
Congruence of Triangles
Rational Numbers
Perimeter and Area
Data Handling
Practical Geometry
Symmetry
Visualising Solid Shapes
Applications Of Simple Equations T... |
Proof of $(a-b)^2$ formula in Geometrical Method
The expansion of a minus b whole squared algebraic identity can be derived in algebraic form by the geometrical approach. The concept of areas of geometrical shapes such as squares and rectangles are used for proving the a minus b whole square formula in algebraic form.... |
The Difference Quotient: The Bridge between Algebra (Slope) and Calculus (the Derivative) - dummies
# The Difference Quotient: The Bridge between Algebra (Slope) and Calculus (the Derivative)
One of the cornerstones of calculus is the difference quotient. The difference quotient — along with limits — allows you to ta... |
# How do you find the first derivative of y=(sinx/(1+cosx))^2?
May 22, 2015
Let's use the chain rule, by naming $u = \frac{\sin x}{1 + \cos x}$.
The chain rule states that
$\frac{\mathrm{dy}}{\mathrm{dx}} = \frac{\mathrm{dy}}{\mathrm{du}} \frac{\mathrm{du}}{\mathrm{dx}}$
Thus,
$\frac{\mathrm{dy}}{\mathrm{du}} = 2... |
# Dissections and Proof Homework
## Session 5, Homework
### Problem H1
You can make your own tangram set from construction paper. Start with a large square of construction paper and follow the directions below:
Step 1: Fold the square in half along the diagonal; unfold and cut along the crease. What observations ca... |
Equable Cylindrical Cone
EQUABLE CYLINDRICAL CONE
Balmoral Software
Solutions: 1
Consider the "cylindrical cone" consisting of a cone of radius R and height h surmounting a cylinder of the same radius and height. There is one such polytope that is equable. The total volume of the cone + cylinder is V, where
V/π = (... |
How do you write the partial fraction decomposition of the rational expression (x^4+1)/(x^5+6 x^3)?
Oct 11, 2016
(x^4+1)/(x^5+6 x^3)=1/(6 x^3) - 1/(36 x) + 37/(72 ( x-i sqrt[6] )) + 37/( 72 (x+i sqrt[6]))
Explanation:
The proposition
$\frac{{x}^{4} + 1}{{x}^{5} + 6 {x}^{3}} = \frac{{x}^{4} + 1}{{x}^{3} \left({x}^{... |
# Linear Functions,Slope and Applications
•A function f is a linear function if it can be written as
f(x) = mx + b
where m and b are constants.
If m = 0, the function is the constant function f(x) = b. If m = 1 and b = 0, the
function is the identity function f(x) = x.
•Vertical and Horizontal Lines:
1. Horizontal li... |
# CHSE Odisha Class 12 Math Solutions Chapter 6 Probability Ex 6(a)
Odisha State Board CHSE Odisha Class 12 Math Solutions Chapter 6 Probability Ex 6(a) Textbook Exercise Questions and Answers.
## CHSE Odisha Class 12 Math Solutions Chapter 6 Probability Exercise 6(a)
Question 1.
Two balls are drawn from a bag conta... |
How do you solve and write the following in interval notation: -2 ≤ x + 4 OR -1 + 3x > -8?
May 26, 2018
$\left[- 6 , \setminus \infty\right)$
Explanation:
You can rewrite $- 2 \setminus \le x + 4$ as
$- 2 - 4 \setminus \le x + 4 - 4 \setminus \implies - 6 \setminus \le x \setminus \implies x \setminus \ge - 6$
S... |
<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
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# Multi-Step Inequalities
## Solve inequalities with fractions and distribution
0%
Progress
Practice Multi-St... |
Square Root
What Is the Square Root of 3? How to Find the Square Root of 3?
Written by Prerit Jain
Updated on: 05 Aug 2024
What Is the Square Root of 3? How to Find the Square Root of 3?
The square root of 3 is 1.732. The square root of a value is given when a particular number is multiplied by itself and gives th... |
Triangle Degrees Lesson
Objective
Learn about 3 different types of triangles
Primary Market
Education, Primary Ed
In this triangles lesson, we’ll discuss the three different types of triangles. There are equilateral triangles, isosceles triangles, and right triangles.
Do you know what it is to be an isosceles, right,... |
# SAT II Math I : Surface Area
## Example Questions
← Previous 1 3
### Example Question #1 : Surface Area
A circular swimming pool has diameter 32 meters and depth meters throughout. Which of the following expressions gives the total area of the inside of the pool, in square meters?
None of the other responses is... |
# Using Mental Math to Solve One-Step Problems: Lesson for Kids
Instructor: Yuanxin (Amy) Yang Alcocer
Amy has a master's degree in secondary education and has taught math at a public charter high school.
After reading this lesson, solving problems in your head will be easier, and you'll be able to answer your teach... |
# 2.1: Sampling Distribution of the Sample Mean
Inferential testing uses the sample mean ($$\bar{x}$$) to estimate the population mean ($$μ$$). Typically, we use the data from a single sample, but there are many possible samples of the same size that could be drawn from that population. As we saw in the previous chapt... |
Math Worksheets Ordering Rational Numbers
A Reasonable Figures Worksheet can help your son or daughter be more familiar with the concepts behind this ratio of integers. With this worksheet, pupils are able to remedy 12 diverse problems associated with rational expressions. They may figure out how to grow 2 or more pho... |
Factoring Trinomials
🏆Practice factoring trinomials
I present to you the following trinomial
$ax^2+bx+c$
Regardless of whether the coefficients of the terms are positive or negative, as long as they appear in the style of a trinomial, the exercise will be called "trinomial".
The factorization will look like this:... |
# How do you find eigenvalues and eigenvectors examples?
## How do you find eigenvalues and eigenvectors examples?
For example, suppose the characteristic polynomial of A is given by (λ−2)2. Solving for the roots of this polynomial, we set (λ−2)2=0 and solve for λ. We find that λ=2 is a root that occurs twice. Hence,... |
# FINDING THE VOLUME OF A CYLINDER IN A REAL WORLD CONTEXT
## About "Finding the volume of a cylinder in a real world context"
Finding the volume of a cylinder in a real world context :
Finding volumes of cylinders is similar to finding volumes of prisms. We can find the volume V of both a prism and a cylinder by mu... |
# Calculus II Practice Problems 10: Answers Answer
```Calculus II
Practice Problems 10: Answers
In problems 1-4 put the conic in standard form, and find the center, vertices, foci.
1. y
8x2
32x
29
0
Answer. Complete the square:
4
32 0
y 3 8 x 2
This is a parabola with vertex at (2,-3) and axis the line x 2. Since 4p a... |
# Greatest Common Divisor of Three Numbers
## Theorem
In the words of Euclid:
Given three numbers not prime to one another, to find their greatest common measure.
## Proof
Let $A, B, C$ be the three given (natural) numbers not prime to one another.
Let the GCD $D$ of $A, B$ be found, by the Euclidean Algorithm.
... |
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# 32 and 42 LCM
LCM of 32 and 42 is equal to 672. The comprehensive work provides more insight of how to find what is the lcm of 32 and 42 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 32 and 42?
lcm (32 42) = (?)
32 => 2 x 2... |
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# The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area?
Option :
Explanation:
Solution:
$\begin{array}{rl}& \text{Let}\phantom{\rule{thinmathspace}{0ex}}\text{original}\phanto... |
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# 8 boys and 12 girls can finish a piece of work in an annual day celebration in 10 days while 6 boys and 8 girls can finish it in 14 days. Find the time taken by one boy and one girl to finish the work.
Last updated date: 10th Sep 2024
Total vie... |
## Engage NY Eureka Math Grade 6 Module 5 Lesson 17 Answer Key
### Eureka Math Grade 6 Module 5 Lesson 17 Opening Exercise Answer Key
Opening Exercise:
a. Write a numerical equation for the area of the figure below. Explain and identify different parts of the figure.
i.
A = $$\frac{1}{2}$$ (14 cm)(12 cm) = 84cm2
14... |
# At a Glance - The Formal Version
When we graph continuous functions, three things happen:
• We are given a continuous function f and a value c.
• We decide how far we wanted to let f(x) move away from f(c).
• We restrict the values of x until we get what we want, making sure that
• x is the same distance away from ... |
# How to Solve Exponential Equations?
An exponential equation is an equation with exponents in which exponents (or) is part of the exponents is variable. Here, you learn more about solving exponential equations problems.
When the power is variable and if it is part of an equation, it is called an exponential equation... |
Exam 1 Review Guide
# Exam 1 Review Guide - M10360 Exam 1: Review Guide Chapter 5...
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## The Number of Points on Two Line Segments
We say that a set is countably infinite if we can pair the elements with set of counting numbers 1, 2, 3, and so on. Believe it or not, the number of positive integers and the number of integers (both negative and positive including 0) have the same number of elements. It i... |
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### GMAT Club Daily Prep
#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Dail... |
# If the solve the problem
Question:
If $y=a \log x+b x^{2}+x$ has its extreme values at $x=1$ and $x=2$, then $(a, b)=$ ____________
Solution:
It is given that, $y=a \log x+b x^{2}+x$ has its extreme values at $x=1$ and $x=2$.
$\therefore \frac{d y}{d x}=0$ at $x=1$ and $x=2$
$y=a \log x+b x^{2}+x$
Differentiat... |
# How To Find The Hypotenuse, Knowing The Legs
## Video: How To Find The Hypotenuse, Knowing The Legs
A right-angled triangle is a flat figure in which one of the angles is right, that is, it is ninety degrees. The sides of such a triangle are named: hypotenuse and two legs. The hypotenuse is the side of the triangle... |
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### Topic 3 – Circular functions and Trigonometry Mathematics
# TOPIC TITLE
1 Study Plan Study plan – Topic 3 – Circular functions & Trigonometry
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2 Geometry-cir... |
# Inverse Variation
Definition:
we can say two quantities are said to be in inverse variation if one quantity increases,then the other quantity decreases or when one quantdity decreases,the other quantity increases.
Where we use this method:
For example 12 men can do a work in 10 days.8 men can do the same work in ... |
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Published on September 24th, 2011 In category Division and Multiplication tricks | Education | Maths
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# Finding factors easily using number 9
While appearing for the competitive exams there is always a need to find the factors of the number. Here we are going to learn how to use the n... |
# Antisymmetric Relation: Definition, Properties, Conditions, Rules, and Examples
An antisymmetric relation is an important concept in mathematics, particularly in set theory and discrete mathematics. This type of relation is defined on a set, where for any two elements a and b, if both a is related to b and b is rela... |
Maths Without Limits
Opening Young Minds to Endless Possibilities
# 5.1.3 How many ways can I sort, match and order things?
The next most important mathematical skills after counting are sorting, matching and ordering – grouping things together that are similar and arranging things in order of size. The activities in... |
1. Consider the function
$$f(x)=\left{\begin{array}{l} \frac{1}{x-1} \text { if } x \neq 1 \ 0 \text { if } x=1 \end{array}\right.$$(a) Does $\lim {x \rightarrow 5} f(x)$ exist? If $s 0$, what is it? Try and establish the validity of your answer formally using an epsilon-delta argunent. If it exists, does it equal $f(5... |
# Reflection of a Point in the y-axis
We will discuss here about reflection of a point in the y-axis.
Reflection in the line x = 0 i.e., in the y-axis.
The line x = 0 means the y-axis.
Let P be a point whose coordinates are (x, y).
Let the image of P be P’ in the y-axis.
Clearly, P’ will be similarly situated on ... |
# 2015 AIME I Problems/Problem 6
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
## Problem
Point $A,B,C,D,$ and $E$ are equally spaced on a minor arc of a circle. Points $E,F,G,H,I$ and $A$ are equally spaced on a minor arc of a second circle with center $C$ as shown in the figure below. ... |
# 3 Lines On Top Of Each Other In Math Means What Is Angle of Elevation?
You are searching about 3 Lines On Top Of Each Other In Math Means, today we will share with you article about 3 Lines On Top Of Each Other In Math Means was compiled and edited by our team from many sources on the internet. Hope this article on ... |
# Solving Multi-Step Inequalities
## Presentation on theme: "Solving Multi-Step Inequalities"— Presentation transcript:
Solving Multi-Step Inequalities
Algebra 1 ~ Chapter 6-3 Solving Multi-Step Inequalities
Inequalities that contain more than one operation require more than one step to solve.
Use inverse operations... |
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