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Question Video: Identifying Graphs of Quadratic Equations | Nagwa Question Video: Identifying Graphs of Quadratic Equations | Nagwa
Question Video: Identifying Graphs of Quadratic Equations Mathematics • Second Year of Secondary School
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The graphs of three quadratic equations are shown on the diagr... |
# PARALLEL LINES AND TRANSVERSALS
## About "Parallel lines and transversals"
Parallel lines and transversals
A transversal is a line that intersects two lines in the same plane at two different points. Transversal and lines l₁ and l₂ form eight angles.
More clearly,
Here, l₁ and l₂ are parallel lines.
From the ab... |
# Is it 1 or more than 1? (Improper Fractions and Mixed Numbers)
29 teachers like this lesson
Print Lesson
## Objective
SWBAT identify improper fractions and mixed numbers from a real-world context by drawing models.
#### Big Idea
Fractions with numerators equal to or larger than the denominator can be written as ... |
How do you use the binomial series to expand (1+x)^(3/2)?
Sep 16, 2017
${\left(1 + x\right)}^{\frac{3}{2}} = 1 + \frac{3}{2} x + \frac{3}{8} {x}^{2} - \frac{1}{16} {x}^{3} + \frac{3}{128} {x}^{4} + \ldots$
Explanation:
The binomial series tell us that:
(1+x)^n = 1+nx + (n(n-1))/(2!)x^2 + (n(n-1)(n-2))/(3!)x^3 + .... |
# Thread: How do you solve linear congruences?
1. ## How do you solve linear congruences?
Hi all,
So we just covered solving congruence's in my discrete 1 class. Our professor gave us 1 example in the notes, and to be honest it sucked and I don't understand it at all. Can someone explain to me how you solve this lin... |
# What is tan(0)?
What is tan(0)?
## The Unit Circle:
In trigonometry, the unit circle is a handy tool that we can use to evaluate trigonometric functions of various angles. This circle has its center at the origin of a graph, and a radius of length 1 unit. Each point on the unit circle has form (cos(θ), sin(θ)), wh... |
## Thursday, June 12, 2014
### Problem
You are given a mystery ball and are told that it has a whole-number weight between 1 and 40 lbs (inclusive).
You are then given a balance scale are are allowed to pick four weights, each weighing any whole-number amount. You much choose these weights so that no matter what the ... |
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# The hyperbolic cosine function $\cosh \left( x \right)$ is defined as $\cosh \left( x \right) = \dfrac{{{e^x} + {e^{ - x}}}}{2}$. Find the arc length of $\cosh \left( x \right)$ on the interval $\left[ { - \ln 2,\ln 2} \right]$.
Last updated da... |
# 2nd Grade Math Learning Targets
Math, 2
(OAT) ALT 1 - Add - Sub Using Place Value
I can add and subtract using place value strategies.
AST 1.1 - Solve Word Problems with Unknowns : I can solve word problems with unknowns in all positions (5+7=?, 5+?=12, ?+7=12) using strategies like: adding to (5+2=? count 5, 6... |
7.2 Workbook Answers - Tequesta Trace Middle
```7-2
Factoring by GCF
Going Deeper
Essential question: How can you factor polynomials completely by grouping?
2
Standards for
Mathematical Content
Questioning Strategies
• Are (x + 5) and (5 + x) binomial opposites?
Explain. No; (x + 5) and (5 + x) are equal by
A-SSE.1.1 ... |
# Difference between revisions of "2007 AMC 12B Problems/Problem 24"
## Problem
How many pairs of positive integers $(a,b)$ are there such that $\text{gcd}(a,b)=1$ and $\frac{a}{b} + \frac{14b}{9a}$ is an integer?
$\mathrm {(A)}\ 4\quad\mathrm {(B)}\ 6\quad\mathrm {(C)}\ 9\quad\mathrm {(D)}\ 12\quad\mathrm {(E)}\ \t... |
# Question Video: Calculating the Energy Needed to Heat a Mass by a Known Temperature Change Physics • 9th Grade
Determine how much energy is needed to heat 2 kg of water by 3°C. Use a value of 4184 J/kg ⋅ °C for the specific heat capacity of water. Give your answer to 2 significant figures.
02:37
### Video Transcri... |
+0
# Counting
0
3
1
+955
Find the number of positive integers that satisfy both the following conditions:
Each digit is a \$1\$ or a \$3\$ or a \$5\$
The sum of the digits is \$5\$
Dec 16, 2023
#1
+222
0
Here's how to find the number of positive integers that satisfy the conditions:
Build the numbers systematica... |
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# Here, AB is a vertically suspended elastic cord of negligible mass and length L. Its force constant is $k=\dfrac{4mg}{L}$. There is a massless platform attached to the lower end of the cord. A monkey of mass m starts from top-end A and slides down the... |
# How to Calculate Investment Rates of Return
Share It
Looking at a year-end statement that shows the "rate of return" on investments only tells part of the story on return. Whether it is an annual percentage yield (APY) or compound annual growth rate (CAGR), it is important for the investor to understand how these a... |
#### Using a graphing utility
There are at least two different methods that can be used to approximate the solutions of an exponential equation
using a graphing utility.
1. Graph the left-hand side and the right-hand side of the equation in the same viewing window; then use the
intersect feature or the zoom and trace... |
The ideas of equality, expressions, and evaluation are vital concepts when working with equations. An equation is a mathematical statement that tells you that two things have the same value — in other words, it’s a statement with an equal sign. The equation is one of the most important concepts in mathematics because i... |
FutureStarr
A 2 7 Calculator
2 7 Calculator
Number
via GIPHY
An alternative method for finding a common denominator is to determine the least common multiple (LCM) for the denominators, then add or subtract the numerators as one would an integer. Using the least common multiple can be more efficient and is more li... |
The standard form of a quadratic equation is y = ax^2 + bx + c, where a, b, and c are coefficiencts and y and x are variables. It is easier to solve a quadratic equation when it is in standard form because you compute the solution with a, b, and c. However, if you need to graph a quadratic function, or parabola, the pr... |
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TJLA -- Blogmeister
TJLA The students' blogs have been transferred to 8th grade.
by TJLA teacher: Rye 8th Team
Math Letter Dear mom and dad, I am writing this letter to tell you what we have done in math class. We have studied... |
# Count Binary Search Trees created from N unique elements
## Formulating the Solution
I would always prefer to sort the array before we start the calculation. By sorting this we make the understanding easy, when we are considering the ith element as the root, we know that 1 to i-1 are in the left of i in the resulta... |
The degree measure of an angle whose tangient is 3.73 is 75deg. If we know the tangent, we can use this value to get the angle. Then, we can multiply the tangent by the angle to get the actual degree.
## 75deg
If the angle’s tangent is 3.73, the degree measure of that angle is 75 degrees. This is the tangent’s degree... |
# Numbers at ratio
The two numbers are in a ratio 3:2. If we each increase by 5 would be at a ratio of 4:3. What is the sum of original numbers?
Correct result:
s = 25
#### Solution:
2a=3b
3(a+5)=4(b+5)
s = a+b
2•a=3•b
3•(a+5)=4•(b+5)
s = a+b
2a-3b = 0
3a-4b = 5
a+b-s = 0
a = 15
b = 10
s = 25
Our linear equat... |
# Common Core: 7th Grade Math : Finding Theoretical Probability
## Example Questions
### Example Question #1 : Finding Theoretical Probability
Kelly spun a spinner, which is pictured below, times. She recorded her results in the table provided. What is the theoretical probability of the spinner landing on the orang... |
# Discrete Distributions
A discrete distribution is a distribution of data in statistics that has discrete values. Discrete values are countable, finite, non-negative integers, such as 1, 10, 15, etc.
## Bernoulli Distribution
The Bernoulli distribution is a univariate discrete distribution used to model random ex... |
Deepak Scored 45->99%ile with Bounce Back Crack Course. You can do it too!
# Differentiate
Question:
Differentiate
$\frac{e^{x}}{\left(1+x^{2}\right)}$
Solution:
To find: Differentiation of $\frac{e^{x}}{\left(1+x^{2}\right)}$
Formula used: (i) $\left(\frac{u}{v}\right)^{\prime}=\frac{u^{\prime} v-u v^{\prime}}{... |
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DRILL
DRILL. What is the slope of a line containing the two points (2, 4) and (-3, -16) What is the equation of a line with the slope of -3 and passing through the point (2, 9)? Solve this equation for y: 8x – 2y = 6. 8. 6. 4. 2. 6. 8. -2. -8. -6. -4. 2. 4. -2. -4. -6. -8.
DRILL
E N D
Presentation Transcrip... |
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### Precalculus Enhanced with Graphing Utilities
Book edition 6th
Author(s) Sullivan
Pages 1200 pages
ISBN 9780321795465
# Find the equation of the parabola described. Find the two points that define the latus rectum, and graph... |
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When acceleration is a function of velocity as $a=f(v)$. Then:A) The displacement $\Rightarrow x=\int{\dfrac{vdv}{f(v)}}$B) The acceleration may be constantC) The slope of acceleration versus velocity graph may be constantD) (A) and (C) are correc... |
Double Math
Implicit Differentiation, Example’s Solution
Implicit Differentiation:
Implicit functions: If y and x are mixed up and y cannot be expressed in terms of the independent variable x, Then y is called an Implicit functions. Symbolically it is written as f\left(x,y\right)=0
Examples:
x^3+xy-x=7
y^3+xy-x=0... |
# Math Expressions Grade 1 Student Activity Book Unit 5 Lesson 11 Answer Key Focus on Mathematical Practices
This handy Math Expressions Grade 1 Student Activity Book Pdf Answer Key Unit 5 Lesson 11 Focus on Mathematical Practices provides detailed solutions for the textbook questions.
## Math Expressions Grade 1 Stu... |
# How do you find a standard form equation for the line with (-5,7), (0, 1/2)?
Aug 8, 2017
See a solution process below:
#### Explanation:
First, we need to determine the slope of the line. The slope can be found by using the formula: $m = \frac{\textcolor{red}{{y}_{2}} - \textcolor{b l u e}{{y}_{1}}}{\textcolor{re... |
Properties of Triangles:
a. Angle Sum Property
Theorem: The sum of the angles of a triangle is 180°.
Proof:
Given: $\Delta ABC$
To Prove: $\angle ABC+\angle BCA+\angle CAB=180^{\circ}$
First draw a line $DE$ parallel to $BC (DE \parallel BC)$.
$AB \ and\ AC$ are the transversals.
Since $DE \parallel BC$,
$\ang... |
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## Ask AI on The Internet
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Question: 1/3(6q–2)=4q–7/3q–1/2
0 Points
First, we need to solve the equation step by step. Here's the given equation: 1/3(6q–2)=4q–7/3q–1/2 Let's start by distributing 1/3 to both terms inside the parentheses: (1/3 * 6q) - (1/3 * 2... |
32
Lesson 9-1 Pages 436-440 Squares and Square Roots PA Lesson Check 7-Ch7 Read Pages 436-438
# Lesson 9-1 Pages 436-440 Squares and Square Roots PA Lesson Check 7-Ch7 Read Pages 436-438
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Lesson 9-1 Pages 436-440
Squares and Square Roots
PA Lesson Check 7-Ch7
What you will learn!1... |
Janus Logic
One of the most interesting aspects of Janus notation is trivalent logic. The only natural language with trivalent logic, as far as I know, is Aymará, a relative of Quechua spoken on the altiplano of Bolivia (see www.aymara.org) whose trivalent logic was elucidated by Iván Guzmán de Rojas. However, Aymará ... |
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# Magnetic Field
Last updated date: 20th May 2024
Total views: 556.5k
Views today: 5.56k
## An Introduction to Magnetic Field
The magnetic field is a region or space where there is an influence of a magnet. There are different types of magnets.... |
# Fermat's Little Theorem
Fermat's Little Theorem is highly useful in number theory for simplifying the computation of exponents in modular arithmetic (which students should study more at the introductory level if they have a hard time following the rest of this article). This theorem is credited to Pierre de Fermat.
... |
# Difference between revisions of "1986 AIME Problems/Problem 7"
## Problem
The increasing sequence $1,3,4,9,10,12,13\cdots$ consists of all those positive integers which are powers of 3 or sums of distinct powers of 3. Find the $100^{\mbox{th}}$ term of this sequence.
## Solutions
### Solution 1
Rewrite all of th... |
## Consider this problem:
Sketch a graph of a function y=f(x).
Now sketch a graph of y=f(ax) for some constant value a>1.
## Reflect.
What kind of graph did you sketch for y=f(x)? How did you decide what to sketch? Did you choose a particular value for a? How does your graph of y=f(ax) compare to your graph of y=f(... |
# What Is A Sequence Arithmetic? (Solution found)
an+1= an + d, d — . : , d.
## What is an arithmetic sequence?
An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. The sum of a finite arithmetic progression is called an arithme... |
Back to Multiply
Survey of mental methods for multiplication
This section shows some of the informal methods used by children to carry out multiplication, loosely classified according to the mathematical principles used. In practice, some mental methods used by children will have characteristics of more than one clas... |
# How do you Use implicit differentiation to find the equation of the tangent line to the curve x^3+y^3=9 at the point where x=-1 ?
Sep 26, 2014
We begin this problem by finding the point of tangency.
Substitute in the value of 1 for $x$.
${x}^{3} + {y}^{3} = 9$
${\left(1\right)}^{3} + {y}^{3} = 9$
$1 + {y}^{3} = 9... |
Chapter 8.pdf - CHAPTER 8 More on Inequalities Source Elementary Intermediate Algebra Fourth Edition Prepared and Edited by Dr Mohamad Hammoudi Topics
# Chapter 8.pdf - CHAPTER 8 More on Inequalities Source...
This preview shows page 1 - 8 out of 20 pages.
CHAPTER 8 More on Inequalities Source: Elementary & Intermed... |
# expressing fractions in factorial base
Given a fraction $p/q$, one may re-express it in factorial base as follows. For simplicity, we assume that the fraction is already written in lowest terms, i.e. that $p$ and $q$ have no common factor. As in the parent (http://planetmath.org/FactorialBaseRepresentationOfFraction... |
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# Two AP’s have the same common difference. The difference between their $$100^{th}$$ terms is 100, what is the difference between their $$1000^{th}$$ terms.
Let first term of $$1^{st}$$ AP = a
Let first term of $$2^{nd}$$ AP = a'
It is given that their common difference is s... |
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# What Is The Square Root Of 75?
• Simplified Square Root for √75 is 5√3
• Step by step simplification process to get square roots radical form:
• First we will find all factors under the square root: 75 has the square factor of 25.
• Let's check this width √25*3=√75... |
## Calculus with Applications (10th Edition)
Published by Pearson
# Chapter 6 - Applications of the Derivative - 6.6 Differentials: Linear Approximation - 6.6 Exercises - Page 348: 6
#### Answer
$$\,\,\,\,\,dy = 0.036706$$
#### Work Step by Step
\eqalign{ & y = \sqrt {4x - 1} ;\,\,\,\,\,\,x = 5{\text{ and }}\Delt... |
# Maths is like….. Train-spotting…..you jot down a whole load of numbers for no apparent reason Cabbage…..you either love it or hate it depending on how.
## Presentation on theme: "Maths is like….. Train-spotting…..you jot down a whole load of numbers for no apparent reason Cabbage…..you either love it or hate it depe... |
Factors of 44 in Pairs
Are you struggling with finding the factors of 44 in pairs? look no further! In this article, we’ll discuss everything you need to know about finding the factors of 44 in pairs. What are the factors to find them, we have covered everything in this post.
What Are Factors
Factors are the numbers... |
## Wednesday, July 22, 2009
### Vector Algebra 1
Here in this post we will go through a quick recap of vector algebra keeping in mind that reader already had detail knowledge and problem solving skills related to the topic being discussed. Here we are briefing Vector Algebra because concepts of electrostatics , elect... |
# Polynomials in One Variable
An expression of the form
where k is a whole number and is a constant, is
called a monomial. A sum of monomials forms a
polynomial where each monomial is called a term.
Polynomial in Standard Form:
where are coefficients, and n ≥ 0 is an
integer.
If , then
n – degree,
Polynomial? Yes... |
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# Finding relative extrema (first derivative test)
The first derivative test is the process of ana... |
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The vertices of a rhombus are $\left( { - 5,0} \right),\left( {0,8} \right),\left( {5,0} \right)\& \left( {0, - 8} \right)$ . the product of the lengths of its diagonals isA.40B.80C.160D.120
Last updated date: 22nd Jul 2024
Total views: 349.2k
Vi... |
# Warm Up 1.Write the standard form of the quadratic function given a vertex and a point: vertex : (-4,-1) point: (-2,4) 2. State the vertex of the following.
## Presentation on theme: "Warm Up 1.Write the standard form of the quadratic function given a vertex and a point: vertex : (-4,-1) point: (-2,4) 2. State the v... |
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An Urn Contains 3 White and 6 Red Balls. Four Balls Are Drawn One by One with Replacement from the Urn. Find the Probability Distribution of the Number of Red Balls Drawn. Also - CBSE (Commerce) Class 12 - Mathematics
ConceptRandom Variables and Its Probability Distributions
Question
An urn contains 3 white a... |
# How do you implicitly differentiate -3=-x/(1-y)+3y?
Feb 17, 2018
$- \frac{1}{6 y}$.
#### Explanation:
Given that, $- 3 = - \frac{x}{1 - y} + 3 y$, we have,
$\frac{x}{1 - y} = 3 + 3 y = 3 \left(1 + y\right) , \mathmr{and} , x = 3 \left(1 + y\right) \left(1 - y\right)$.
$\therefore x = 3 \left(1 - {y}^{2}\right)$... |
# Powers and roots - Higher
Powers, or , are ways of writing numbers that have been multiplied by themselves:
• can be written as 22 (2 squared)
• can be written as 23 (2 cubed)
• can be written as 24 (2 to the power of 4), and so on
The small floating digit is known as the power or index number.
## Roots
Roots are... |
# 1.4 Inverse functions (Page 2/11)
Page 2 / 11
## Rule: horizontal line test
A function $f$ is one-to-one if and only if every horizontal line intersects the graph of $f$ no more than once.
## Determining whether a function is one-to-one
For each of the following functions, use the horizontal line test to deter... |
# Equation of Line: Normal to conic with product xy in the equation
2 posts / 0 new
Aesha
Equation of Line: Normal to conic with product xy in the equation
Find the equation of the normal line to the curve x^2 + 2y^2 - 2xy - x = 0 at the points where it crosses the x-axis .
Jhun Vert
$x^2 + 2y^2 - 2xy - x = 0$
At ... |
Perpendicular bisector of a line segment
Practical Geometry
Concept wise
Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class
### Transcript
Question 4 Draw a line segment of length 12.8 cm. Using compasses, divide it into four equal parts. Verify by actual measurement. Here, We need to divid... |
# Triangle A has sides of lengths 12 , 9 , and 6 . Triangle B is similar to triangle A and has a side of length 24 . What are the possible lengths of the other two sides of triangle B?
Mar 15, 2016
The other two lengths are $18$ and $12$
#### Explanation:
Similarity in simple words means that two objects have the s... |
# Frank ICSE Class 8 Solutions Chapter 4
## Frank ICSE Mathematics Class 8 Solutions Chapter 4 Cubes and Cube Roots
Welcome to NCTB Solutions. Here with this post we are going to help 8th class students for the Solutions of Frank ICSE Mathematics Class 8 Math Book, Chapter 4, Cubes and Cube Roots. Here students can e... |
# How to Find Center of Mass: A Guide to Understanding its Significance and Applications
## Introduction
Finding the center of mass is an important concept in physics, engineering, and many other scientific fields. The location of the center of mass is vital in calculating the stability, balance, and motion of an obj... |
# Is 7 8 a rational number
## Is negative 7/8 a rational number, integer, or whole number
What's the difference between a rational number and an irrational number? the set of all rational numbers will contain the numbers 4/5, -8, (which is 7/4).
and does microsoft edge change home page shark capital of the wo... |
A curved surface is considered a large set of points. Every point in the curve has two neighbors excluding the endpoints. Plane Surface is a flat surface in which a straight line joining any two of its points lies entirely on that surface. It’s a bit difficult to visualize a plane because, in real life, there is nothin... |
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GCSE Maths > Algebra - Inequalities
### Inequalities
a < b means a is less than b (so b is greater than a)
a £ b means a is less than or equal to b (so b is greater than or equal to a)
a ³ b means a is greater than or equal to b etc.
a > b ... |
# What is the lowest common multiple of 5, 7 and 10?
Feb 13, 2018
The answer is $70$.
#### Explanation:
To find the LCM (Lowest common multiple) of a set of numbers, you first find the multiples of each number and then identify the smallest common one among the set.
In this case, using $5$, $7$, and $10$. The smal... |
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# Arithmetic Sequences – Sequences and Series | Class 11 Maths
• Last Updated : 26 Nov, 2020
Sequence is an enumerated collection of objects in which repetition are allowed and order matters they formed such a pattern by which we can identify whole series. We can generalize this whole series whic... |
# Ratios of Lengths, Areas, and Volumes
How to find the ratios of the lengths, areas, and volumes of the similar figures: formulas, examples, and their solutions.
## Formulas
Here are two similar figures.
If the ratio of their lengths is
a/b,
then the ratio of the other lengths (1D) is also
a/b (= a1/b1).
Lengths... |
$\newcommand{\dollar}{\} \DeclareMathOperator{\erf}{erf} \DeclareMathOperator{\arctanh}{arctanh} \newcommand{\lt}{<} \newcommand{\gt}{>} \newcommand{\amp}{&}$
## Section8.1An Introduction to Differential Equations
###### Motivating Questions
• What are differential equations? How are they useful?
• What is the order... |
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# Equation practice with complementary angles
Given the algebraic expressions that represent a pai... |
Do Now Pass out calculators. Write down the weeks assignments. Pick up a worksheet from the back and wait for instructions.
Presentation on theme: "Do Now Pass out calculators. Write down the weeks assignments. Pick up a worksheet from the back and wait for instructions."— Presentation transcript:
Do Now Pass out cal... |
# What is the slope and intercept of x+9y=5?
Jan 25, 2017
The slope is $\textcolor{red}{m = - \frac{1}{9}}$
The y-intercept is $\textcolor{b l u e}{b = \frac{5}{9}}$
#### Explanation:
To find the slope and intercept of this equation it must be in the slope-intercept form.
The slope-intercept form of a linear equa... |
# Applying the Properties of Operations to Multiply and Divide Rational Numbers
Video solutions to help Grade 7 students learn how to apply the properties of operations to multiply and divide rational numbers
Related Topics:
Lesson Plans and Worksheets for Grade 7
Lesson Plans and Worksheets for all Grades
## New Y... |
Saturday, December 26, 2009
7.2 Solving Exponential and Log Equations
Hey Guys,
This post is going to cover chapter 7.2, which we covered in class on Wednesday Decmber 16th 2009.
Most of the lesson was based on Radioactive decay and powers of different bases and applying quadratic formula.
Radioactive Decay is the p... |
A model train, with a mass of 4 kg, is moving on a circular track with a radius of 7 m. If the train's rate of revolution changes from 1/6 Hz to 1/8 Hz, by how much will the centripetal force applied by the tracks change by?
Aug 9, 2017
The centripetal force will decrease by $\approx 13 \text{N}$
Explanation:
The c... |
# 10+ Distributive Property 7th Grade Worksheets
What is distributive property for Class 7th?
According to the definition of distributive property, which states that the value of product of a number and difference of two numbers is calculated by multiplying each minuend and subtrahend with the number and then subtrac... |
# 2016 AMC 10B Problems/Problem 25
## Problem
Let $f(x)=\sum_{k=2}^{10}(\lfloor kx \rfloor -k \lfloor x \rfloor)$, where $\lfloor r \rfloor$ denotes the greatest integer less than or equal to $r$. How many distinct values does $f(x)$ assume for $x \ge 0$?
$\textbf{(A)}\ 32\qquad\textbf{(B)}\ 36\qquad\textbf{(C)}\ 45... |
# EIGEN VALUES OF A MATRIX
A linear operator A is a zero of its characteristic polynomial. In practical calculations, we set the characteristic polynomial equal to zero, giving the characteristic equation
det|A - λI| = 0
The zeros of the characteristic polynomial, which are the solutions to this equation, are the ei... |
A triangular number or triangle number counts objects arranged in an equilateral triangle. Triangular numbers are a type of figurate number, other examples being square numbers and cube numbers. The nth triangular number is the number of dots in the triangular arrangement with n dots on each side, and is equal to the s... |
## Algebra
Showing posts with label check solution. Show all posts
Showing posts with label check solution. Show all posts
### Solving Radical Equations
Now that we have learned how to work with radical expressions, we next move on to solving.
Use caution when solving radical equations because the following steps m... |
## Binomial coefficients
Today I’m going to talk about something pretty nifty called binomial coefficients. It may not be immediately apparent to you why they’re so nifty, but take my word for it: they show up all over the place in mathematics! [And yes, if you’re wondering, we’re still on our way towards a formula fo... |
# Teaching Surds – Part 2
In part 1 (available here), I outline how I taught surds for the very first time. This is part 2.
In the weeks leading up to introducing surds to my new class, I had consistently included questions in their Do Now to ensure that they were fluent with their square numbers. For those that were... |
# What is transformations of absolute value functions?
by performing transformations on the parent function f (x) = |x|. The function f(x) = |x| is an absolute value function. The highest or lowest point on the graph of an absolute value function is called the vertex.
So parent function of absolute value is y = | x |... |
Learning Library
Projectiles Launched at an Angle
(87 ratings )
Problem
Find the launch angle of a projectile for the longest distance.
Which angle will launch the projectile the farthest? Why? What happens if the launch angle is smaller? Greater?
Materials
• Nerf gun and darts
• Tape measure
• Calculator
Proce... |
# The walls and ceiling of a room are to be plastered.
Question:
The walls and ceiling of a room are to be plastered. The length, breadth and height of the room are 4.5 m, 3 m and 350 cm, respectively. Find the cost of plastering at the rate of Rs 8 per square metre.
Solution:
Length of a room $=4.5 \mathrm{~m}$
B... |
# Class 10 Case based problem of Chapter 6 Triangles 2
Class 10 Case based problem of Chapter 6 Triangles 1
Class 10 Case based problem of Chapter 6 Triangles 2
# Â Case study:1
While browsing through the catalogue of wooden shelves. Ravi came across this beautiful triangular shaped shelf. A shelf DE parallel to th... |
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### Transcript of To evaluate logarithms and solve logarithmic equations. RECALL · PDF fileTo evaluate...
• PreCalculus 30(Ms. Carignan) PC30.9B: Chapter 8 –Logarithmic Functions Page 1
To evaluate logarithms and solve logarithmic equat... |
# Quadratic function in vertex form: $y = a(x-p)^2 + q$
In previous chapter, we learned all about factoring quadratic equations. There are a lot of applications of quadratic equations like calculating possible profits, computing for area. There are a lot of interesting uses of quadratic equations too, and there’s an i... |
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# Math Problems and Solutions (Math Problem Sample)
Instructions:
1. If x2 + ... |
# Functions
A mathematical function is defined abstractly by
Function: A function is a relation which assigns to each element in the domain a single element in the range. A relation is a set of ordered pairs, $(x,y)$. The set of first coordinates is the domain, the set of second coordinates the range of the relation.... |
# How do you solve (1) x + 2y + z = 1, (2) 2x - 3y - z = 6, (3) 3x + 5y + 4z = 5, (4) 4x + y + z = 8?
Aug 6, 2016
$x = 2$, $y = - 1$ and $z = 1$
#### Explanation:
Given:
(1): $\textcolor{w h i t e}{X} x + 2 y + z = 1$
(2): $\textcolor{w h i t e}{X} 2 x - 3 y - z = 6$
(3): $\textcolor{w h i t e}{X} 3 x + 5 y + 4 ... |
22
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# A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?
A) 10/21 B) 11/21 C) 1/2 D) 2/7
Explanation:
Total number of balls = (2 + 3 + 2) = 7.
Let S be the sample space.
Then, n(S) = Number of ways of drawing 2 balls out ... |
## Range, variance, standard deviation
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### Measures of Dispersion
Look at the graphs below. Each represents a collection of many data points and shows how the individua... |
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Proof - Using properties of sets
Chapter 1 Class 11 Sets
Concept wise
This video is only available for Teachoo black users
Introducing your new favourite teacher - Teachoo Black, at only ₹83 per month
### Transcript
Misc 10 Show that A ∩ B = A ∩ C need not imply B = C. We have to prove false, so we take a example ... |
# FIND QUADRATIC EQUATION FROM X INTERCEPTS AND A POINT
If x1 and xare x-intercepts, then the given x-intercepts can be written as x = x1and x = x2.
The quadratic equation can be derived using
y = a (x - x1) (x - x2)
By applying the given point as (x, y) in the equation above, we can derive the value of a.
Write ... |
Posted by Peter on 6th July 2007
# What is expected of children? Part 3: Year 1
What is expected of children during their primary school years in England?
Year 1 ( aged 5/6)
To be able to successfully help your child with maths at home it is important to have a good idea of what is expected in school. Remember, we ... |
Hc Verma II Solutions for Class 12 Science Physics Chapter 23 Heat And Temperature are provided here with simple step-by-step explanations. These solutions for Heat And Temperature are extremely popular among Class 12 Science students for Physics Heat And Temperature Solutions come handy for quickly completing your hom... |
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