text stringlengths 22 1.01M |
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Difficulty Level: At Grade Created by: CK-12
## Learning Objectives
• Use the product and quotient properties of radicals.
• Rationalize the denominator.
• Solve real-world problems usi... |
# A Distinctly Odd Coincidence
This week’s topic comes from partition theory. Consider all the ways to write 7 as the sum of positive integers:
\begin{align*} &7, && 3+2+2,\\ &6+1, && 3+2+1+1,\\ &5+2, && 3+1+1+1+1,\\ &5+1+1, && 2+2+2+1,\\ &4+3, && 2+2+1+1+1,\\ &4+2+1, && 2+1+1+1+1+1,\\ &4+1+1+1, && 1+1+1+1+1+1+1+1.\\ ... |
New Zealand
Level 7 - NCEA Level 2
# Families of Anti-Derivatives and Specific Anti-Derivatives
Lesson
As we have just seen, there are infinitely many curves that result in the same derivative.
We call this collection of curves the family of antiderivative functions for a given function.
We need to be able to star... |
Course Content
Class 8th Science
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Class 8th Math
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Class 8 Social Science History
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Class 8 Social Science Geography
0/12
Class 8 Social Science Civics: Social and Political Life – III
0/21
Class 8th Englisn Honeydew Summary
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Class 8 English Honeydew Poem
0/16
Class 8 English It So Happened
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Online Cl... |
The Product and Quotient Rules
Lesson Features »
Lesson Priority: High
Calculus $\longrightarrow$
Discovering Derivatives $\longrightarrow$
Objectives
• Learn the product rule for differentiating a product of two pieces when you know the derivative of each piece
• Learn the quotient rule for differentiating the quo... |
Explorations outside of school can connect children with maths in new and varied ways, which aren’t always practical inside school buildings.
In a previous blog post, I shared 3 easy things that families can do at home to engage in meaningful and fun mathematical play and talk.
Here are 3 more games and activities to... |
# How do you find the asymptotes for (9x^2 – 36) /( x^2 - 9)?
Jul 28, 2018
$\text{vertical asymptotes at } x = \pm 3$
$\text{horizontal asymptote at } y = 9$
#### Explanation:
$\text{let } f \left(x\right) = \frac{9 {x}^{2} - 36}{{x}^{2} - 9}$
The denominator of f(x) cannot be zero as this would make f(x) undefine... |
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What Is the Distance Formula All About?
To answer this question, you should understand the role played by a distance in mathematics and find out more about its concept. It can be defined as a numerical description of how far apart 2 given obj... |
LINEAR FUNCTIONS COMMON MISTAKES
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1 LINEAR FUNCTIONS COMMON MISTAKES 1 10/0/009
2 Linear Functions-Definition, Notation and the Vertical Line Test How to Understand the Definition and Notation Linear Function are relations in which exactly an x value i... |
Mirrored from Sudopedia, the Free Sudoku Reference Guide
# 45 rule
The 45 rule is a basic solving-technique in Killer Sudoku. Each house (row, column, nonet) must add to 45 (the sum of the digits 1 through 9). If a set of cages fits nearly exactly into one or more houses, then the contents of the leftover cells may b... |
# What is 51/86 as a decimal?
## Solution and how to convert 51 / 86 into a decimal
51 / 86 = 0.593
The basis of converting 51/86 to a decimal begins understanding why the fraction should be handled as a decimal. Both represent numbers between integers, in some cases defining portions of whole numbers But in some ca... |
How to Calculate Compound Interest
Compound interest is interest which is calculated on the original lump sum plus the interest already accumulated.
If a lump sum (PV) is invested in an account paying a rate of compound interest (i), then after a number of periods (n), it will grow into a future value (FV).
Future v... |
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The ratio of blue, green yellow and red marbles is 3:3:2:2.
Ratio 2 (Difficult)
Ratios are an important part of the Eleven Plus maths exam and you will need to understand them if you want to do well. But you’ve come to the right place if you need more practice. This is the ... |
# Summary of Skills
Age 9-11 - Concept 5: Math
## Unit 1: Place Value: Million to Thousandths
### Math
• Compare and order large numbers
• Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons
• Explain patterns in the numbe... |
# 2005 Indonesia MO Problems/Problem 2
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
## Problem
For an arbitrary positive integer $n$, define $p(n)$ as the product of the digits of $n$ (in decimal). Find all positive integers $n$ such that $11 p(n)=n^2-2005$.
## Solution
First we will ... |
# Maths - Fields
## Vector Field
A vector field has a vector value for every point in a space:
how this plot was produced.
For instance a force field like gravity, if we have a very large mass at the origin, then we can plot the gravitational field, as in the diagram above. Its difficult to find a suitable way to s... |
# NCERT solution class 12 chapter 2 Application of Integrals exercise 2.2 mathematics part 2
## EXERCISE 2.2
#### Question 1:
Find the area of the circle 4x2 + 4y2 = 9 which is interior to the parabola x2 = 4y
The required area is represented by the shaded area OBCDO.
Solving the given equation of circle, 4x2 + 4y... |
### Home > CC1MN > Chapter 9 > Lesson 9.2.2 > Problem9-54
9-54.
Find the area of the shape at right in at least two ways.
Label each remaining side using centimeters. An enclosed figure: Starting at the upper left corner: right 7, down 3, right 5, down 6, left 12, and up 9, to enclose the figure.
Our first method o... |
NCERT Solutions for Maths Class 12 Exercise 6.2
# NCERT Solutions for Maths Class 12 Exercise 6.2
Hello Students! In this post, you will find the complete NCERT Solutions for Maths Class 12 Exercise 6.2.
You can download the PDF of NCERT Books Maths Chapter 6 for your easy reference while studying NCERT Solutions fo... |
# How Do I love Thee? Let Me Count The Ways…
Counting is perhaps one of the very first skills we learn as a child. I remember, when I was small, watching Count von Count on Sesame Street teaching kids to count, in a rather frightening way! Even now, counting is still a very important skill for me in my profession as a... |
# Allegations and Mixtures Practice Set – 2
Allegations and Mixtures Practice Set – 2
1. In a mixture of milk and water, the proportion of water by weight was 75%. If in the 60 gms mixture 15 gms water was added, what would be the percentage of water in the new mixture?
a) 75%
b) 88%
c) 90%
d) 100%
e) None of these
Ex... |
# Lesson Notes By Weeks and Term - Junior Secondary School 2
APPROXIMATION OF NUMBERS ROUNDING OFF TO DECIMAL PLACES
SUBJECT: MATHEMATICS
CLASS: JSS 2
DATE:
TERM: 1st TERM
WEEK SIX
TOPIC: APPROXIMATION OF NUMBERS ROUNDING OFF TO DECIMAL PLACES
Digits 1,2,34 are rounded down to Zero, while digits 5, 6, 7, 8, an... |
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# D
Number
Systems
Here are only numbers
ratied.
William Shakespeare
## Nature has some sort of
arithmetic-geometrical
coordinate system, because
nature has all kinds of
models. What we experience
of nature is in models, and
all of natures models are so
beautiful.
It struck me that natures
sys... |
1. Operations with Real Numbers
# 1.2 Integers
Learning Objectives
By the end of this section it is expected that you will be able to:
• Use negatives and opposites
• Simplify: expressions with absolute value
• Add ans subtract integers
• Multiply and divide integers
• Simplify Expressions with Integers
# Use Nega... |
Note:
• A quadratic equation is a polynomial equation of degree 2.
• The ''U'' shaped graph of a quadratic is called a parabola.
• A quadratic equation has two solutions. Either two distinct real solutions, one double real solution or two imaginary solutions.
• There are several methods you can use to solve a quadr... |
# Calculus/Surface area
← Arc length Calculus Work → Surface area
Suppose we are given a function f and we want to calculate the surface area of the function f rotated around a given line. The calculation of surface area of revolution is related to the arc length calculation.
If the function f is a straight line, o... |
What is the formula to find the total surface area of a cube?
What is the formula to find the total surface area of a cube?
The total surface area of a cube is the area covered by all the six faces of a cube. The formula to find total surface area of a cube is given as, Total surface area = 6a2, where, ‘a’ is the edg... |
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# A moving train 66 m long overtakes another train 88 m long moving in the same direction in $0.168\min$. If the second train is moving at 30 km/hr, at what speed is the first train moving?A. 85 ${\rm{km/hr}}$B. 50 ${\rm{km/hr}}$C. 55 ${\rm{km/hr}... |
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# Use the following graph B-0-003x3+0-13x2-1-2x+18-6 Approximate the ave.docx
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# Use the foll... |
# Geometric Transformations to Practice Basic Skills and Introduce Fundamental Concepts
This post shows how learning to apply geometric transformation rules to slide, reflect, rotate or resize a figure can benefit students. Geometric transformation graphing activities can help students learn important math concepts in... |
## Is 7 a coefficient?
The coefficients are the numbers that multiply the variables or letters. Thus in 5x + y – 7, 5 is a coefficient. In 5x + y – 7 the terms are 5x, y and -7 which all have different variables (or no variables) so there are no like terms. Constants are terms without variables so -7 is a constant.
#... |
7
Q:
# There are two mixtures of honey and water in which the ratio of honey and water are as 1:3 and 3:1 respectively. Two litres are drawn from first mixture and 3 litres from second mixture, are mixed to form another mixture. What is the ratio of honey and water in it ?
A) 111:108 B) 11:9 C) 103:72 D) None
Expla... |
# Texas Go Math Grade 6 Module 6 Answer Key Multiplying and Dividing Integers
Refer to our Texas Go Math Grade 6 Answer Key Pdf to score good marks in the exams. Test yourself by practicing the problems from Texas Go Math Grade 6 Module 6 Answer Key Multiplying and Dividing Integers.
## Texas Go Math Grade 6 Module ... |
# AREAS OF PARALLELOGRAMS AND TRIANGLES NCERT 9 MATHEMATICS TEXTBOOK MCQ (Multiple Choice Questions)
Q1. ABCD is a parallelogram. If E and F are mid points of sides AB and CD and diagonal AC is joined then ar (FCBE) : ar (CAB) is:
1. 1 : 2
2. 2 : 1
3. 1 : 1
4. 1 : 4
Q2. If the base of a parallelogram is 8 cm and its... |
# Class 10 RD Sharma Solutions – Chapter 5 Trigonometric Ratios – Exercise 5.1 | Set 1
• Last Updated : 07 Dec, 2021
### (i) sinA = 2/3
Solution:
sinA = 2/3 = Perpendicular/Hypotenuse
Draw a right-angled △ABC in which ∠B is = 90°
Using Pythagoras Theorem, in △ABC,
(Hypotenuse)2 = (Perpendicular)2 + (Base)2
AC2 ... |
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# Determinant of a Matrix
Jenni MacLean
Amrita Arora
### Algebra 2➗
Bookmarked 946 • 2 resources
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## How to Find The Determinant of a Matrix
### What are Matrices?
Matrices are grids of numbers that can represent data or equations. We can use them to repr... |
# Right triangle
Right triangle
A right triangle (American English) or right-angled triangle (British English) is a triangle in which one angle is a right angle (that is, a 90-degree angle). The relation between the sides and angles of a right triangle is the basis for trigonometry.
The side opposite the right angle... |
Solve Linear Equations with Rational Numbers
Solve Linear Equations
(with Rational Numbers)
When solving linear equations, the goal is to isolate the unknown (variable) to find its value. This is accomplished by adding, subtracting, multiplying, or dividing. Let’s start with a simple example:
x + 4 = 9
The main r... |
# Difference between revisions of "2021 AMC 12A Problems/Problem 13"
## Problem
Of the following complex numbers $z$, which one has the property that $z^5$ has the greatest real part?
$\textbf{(A) }-2 \qquad \textbf{(B) }-\sqrt3+i \qquad \textbf{(C) }-\sqrt2+\sqrt2 i \qquad \textbf{(D) }-1+\sqrt3 i\qquad \textbf{(E)... |
Finding the Greatest Common Factor of 2 or 3 Numbers
FINDING THE GREATEST COMMON FACTOR OF $\,2\,$ or $\,3\,$ NUMBERS
LESSON READ-THROUGH
by Dr. Carol JVF Burns (website creator)
Follow along with the highlighted text while you listen!
Thanks for your support!
• PRACTICE (online exercises and printable worksheets)
• ... |
# Support Forums
Full Version: Lesson 2 - Intro to Derivatives
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Lesson 2 - Intro to Derivatives
The second important concept is that of the derivative. Before calculus, we are mostly focused on finding the sl... |
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# In the Following Figure, O is the Centre of the Circle, ∠Aob = 60° and ∠Bdc = 100° Find ∠Obc. - ICSE Class 10 - Mathematics
ConceptArc and Chord Properties - the Angle that an Arc of a Circle Subtends at the Center is Double that Which It Subtends at Any Point on the Remaining Part of the Cir... |
# `int sin(-7x)cos(6x) dx` Find the indefinite integral
Indefinite integrals are written in the form of` int f(x) dx = F(x) +C`
where: `f(x)` as the integrand
`F(x)` as the anti-derivative function
`C` as the arbitrary constant known as constant of integration
For the given problem `int sin(-7x)cos(6x) dx` or `in... |
# ACT Math : How to find the solution to an inequality with multiplication
## Example Questions
### Example Question #1 : How To Find The Solution To An Inequality With Multiplication
Let x be a number such that x > 1 and x < 0. Let y be a number such that y > 0. Which of the following must be true?
x + y > 0
(x +... |
# How do you solve the system of equations 2x+2y=4 and 12-3x=3y?
Nov 16, 2017
No solutions
#### Explanation:
$2 x + 2 y = 4$
$- 3 x + 12 = 3 y$
We need to solve $2 x + 2 y = 4$ for $x$
Let's start by adding $\textcolor{red}{- 2 y}$ to both sides
$2 x + 2 y \textcolor{red}{- 2 y} = 4 \textcolor{red}{- 2 y}$
$2 x... |
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# Algebra: Linear Equations
This content was STOLEN from BrainMass.com - View the original, and get the already-completed solution here!
Section 6.1: Rational Expression
Which numbers cannot be used in place of the variable in each rational expression?
18. 2y+1
y² - y- 6
Section 6.2: Multipl... |
### Math with Scientific Notation Addition and Subtraction
Speaking realistically, the problems discussed below can all be done on a calculator. However, you need to know how to enter values into the calculator, read your calculator screen, and round off to the proper number of significant figures. Your calculator wil... |
# Prove that the points A
Question:
Prove that the points A(1, 4), B(3, - 2) and C(4, - 5) are collinear. Also, find the equation of the line on which these points lie.
Solution:
If two lines having the same slope pass through a common point, then two lines will coincide. Hence, if A, B and C are three points in th... |
# HCL Placement Paper | Quantitative Aptitude Set – 1
This is an HCL model paper for Quantitative Aptitude. This placement paper will cover aptitude that is asked in HCL placements and also strictly follows the pattern of questions asked in HCL papers. It is recommended to solve each one of the following questions to ... |
Question Video: Using the Addition Rule to Determine the Probability of an Event Involving Mutually Exclusive Events Mathematics
Suppose 𝐴 and 𝐵 are two mutually exclusive events. Given that 𝑃(𝐵) = 4 𝑃(𝐴) and 𝑃(𝐴 ∪ 𝐵) = 0.95, find 𝑃(𝐵).
02:19
Video Transcript
Suppose 𝐴 and 𝐵 are two mutually exclusive ... |
# How do you integrate int cos^3(3x)dx?
Mar 9, 2017
$\frac{1}{4} \sin \left(3 x\right) + \frac{1}{36} \sin \left(9 x\right) + C$
#### Explanation:
This can be a tricky one, first we need to find a way to express the function to remove the power of 3.
To do this, we can try:
${\cos}^{3} \left(\theta\right) = \cos ... |
# Empirical Probability Formula
5/5 - (1 bình chọn)
Mục Lục
## Empirical Probability Formula
Empirical probability is also known as an experimental probability which refers to a probability that is based on historical data. In other words, simply we can say that empirical probability illustrates the likelihood of a... |
duane hyde Victor de Velo was the lead rider for team La Française des Jeux in the 85th Tour de France, a bicycle race which takes place over three weeks and winds through the French countryside, past the coast, and over towering Alpine mountains.
To keep track of how far he has gone on two consecutive days, Victor c... |
Problem 1: Given a circle with center O.Two Tangent from external point P is drawn to the given circle. With tan.. Hence, the tangent at any point of a circle is perpendicular to the radius through the point of contact. Given: A is the centre of the circle. Theorem: Angle subtended at the centre of a circle is twice th... |
# Prime Factors LCM HCF Worksheets, Questions and Revision
GCSE 4 - 5KS3AQAEdexcelOCRWJECFoundationAQA 2022Edexcel 2022OCR 2022WJEC 2022
## Prime Factors, HCF and LCM
Understanding prime factors is important to be able to find the Lowest Common Multiple (LCM) and Highest Common Factor (HCF) of two or more numbers. M... |
To add fractions there are Three Simple Steps:
## How do you add fractions step by step?
To add fractions there are Three Simple Steps:
1. Step 1: Make sure the bottom numbers (the denominators) are the same.
2. Step 2: Add the top numbers (the numerators), put that answer over the denominator.
3. Step 3: Simplify t... |
SCERT Kerala Class 7 Mathematics/ Unchanging Relations – Chapter 3
SCERT Kerala Class 7 Mathematics/ Unchanging Relations – Chapter 3 is designed for SCERT Class 7 Mathematics students. Here you can find out textbook solutions and notes of Chapter 3 – Unchanging Relations.
SCERT Kerala Class 7 Mathematics/ Unchanging... |
# Ordering Fractions: Definition, Methods, Uses, and Calculations
Ordering fractions means arranging or ranking them in ascending or descending order based on their numerical value. Ordering fractions is a fundamental skill that has several benefits and is necessary for performing various mathematical and real-life ta... |
# 9231. FP2. Differentiation
Implicit Functions
We can differentiate functions that are not explicitly written as y=f(x).
• e.g. y2 = x. Differentiating both sides wrt x gives:
• 2y.y'(x) = 1, so
• y'(x) = 1/2y.
If we use Leibniz’ notation, we think of $\frac{d}{dx}$ instead of $\frac{dy}{dx}$ as an operator (e.g. ... |
# Multiplication and Division for Higher Order Numbers
In fourth grade, we extend our understanding of multiplication and division concepts to higher order whole numbers. Specifically, multiplication and division for higher order numbers can be divided into:
• Multiply up to 4 digits by 1 digit, e.g. 7,032×8
• Multip... |
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The Identity Matrix and Inverses
Reference > Mathematics > Algebra > Matrices
In normal arithmetic, we refer to 1 as the "multiplicative identity." This is a fancy way of saying that when you multiply anything by 1, you get the same number back that you started with. In other words, 2 • 1 = 2,... |
# In each of the figures given below, an altitude is drawn to the hypotenuse by a right-angled triangle.
Question:
In each of the figures given below, an altitude is drawn to the hypotenuse by a right-angled triangle. The length of different line-segment are marked in each figure. Determine xyz in each case.
Solutio... |
# Initial Velocity Formula
The velocity at which motion start is termed as Initial Velocity. It is velocity at time interval t = 0. It is represented by u.Three initial velocity formulas are there-
If final time, acceleration and velocity are provided. The initial velocity is articulated as,
u =v – at
If final velo... |
How To Find Range Of A Function. Solve it for \(x\) to write it in the form, \(x=g(y)\) step 3: The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain.
Find the equation for x that gives y = f(x) and then solve it using ... |
# Pre-Algebra : Word Problems with One Unknown
## Example Questions
← Previous 1 3 4 5
### Example Question #1 : Word Problems With One Unknown
John makes $12.50/hour gardening. He earned$275 this week. Write the equation for figuring out his wages, and then solve it to find out how many hours he worked.
Explanati... |
# The perimeter of a triangle is 300 m. If its sides are in the ratio of 3: 5: 7. Find the area of the triangle.
Question:
The perimeter of a triangle is 300 m. If its sides are in the ratio of 3: 5: 7. Find the area of the triangle.
Solution:
Given the perimeter of a triangle is 300 m and the sides are in a ratio ... |
# How do you convert (1, pi/4, 2) into spherical form?
Sep 12, 2017
see below
#### Explanation:
This point is in cylindrical form $\left(r , \theta , z\right)$. So let's first convert it to rectangular form $\left(x , y , z\right)$ by using the formulas $x = r \cos \theta , y = r \sin \theta , z = z$
That is,
$x ... |
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### Converting Between Mixed Numbers and Improper Fractions
```
Date: 04/08/99 at 18:31:46
From: Linday Stahl
Subject: Undoing improper fractions
I get mixed up doing and undoing improper and mixed numbers.
```
```
Date: 04/08/99 at 23:16:02
From: Doctor Peterso... |
Poker Drawing Odds & Outs
By Tom "TIME" Leonard
In our poker math and probability lesson it was stated that when it comes to poker; “the math is essential“. Although you don’t need to be a math genius to play poker, a solid understanding of probability will serve you well and knowing the odds is what it’s all about i... |
# If a, b, c are in AP, show that
Question:
If a, b, c are in AP, show that
(i) $(b+c-a),(c+a-b),(a+b-c)$ are in AP.
(ii) $\left(b c-a^{2}\right),\left(c a-b^{2}\right),\left(a b-c^{2}\right)$ are in AP.
Solution:
(i) $(b+c-a),(c+a-b),(a+b-c)$ are in AP.
To prove: $(b+c-a),(c+a-b),(a+b-c)$ are in AP.
Given: a, ... |
3.3 Limits and Continuity: Algebraic Approach
(This topic is also in Section 3.3 in Applied Calculus or Section 10.3 in Finite Mathematics and Applied Calculus)
Consider the following limit.
limx2 x2 - 3x4x + 3 .
If you estimate the limit either numerically or graphically, you will find that
limx2 x2 - 3x4x + 3 ... |
# Percentage Questions
FACTS AND FORMULAE FOR PERCENTAGE QUESTIONS
I.Concept of Percentage : By a certain percent , we mean that many hundredths. Thus x percent means x hundredths, written as x%.
To express x% as a fraction : We have , x% = x/100.
Thus, 20% = 20/100 = 1/5;
48% = 48/100 = 12/25, etc.
To expre... |
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# Class 12 RD Sharma Solutions – Chapter 19 Indefinite Integrals – Exercise 19.17
• Last Updated : 19 Apr, 2021
### Question 1. ∫dx/√(2x – x2)
Solution:
We have,
Let I = ∫dx/√(2x – x2)
= ∫dx/√(1 – 1 + 2x – x2)
= ∫dx/√{1 – (x2 – 2x + 1)}
= ∫dx/√{12 – (x – 1)2}
Let x – 1 ... |
# Ones, Tens, Hundreds Worksheets
• ###### Train Numbers
Place value is the idea that the value of a digit in a number is determined by its position within that number. These worksheets are will help students understand and practice the concept of place value using the ones, tens, and hundreds places.
The worksheets... |
## Want to keep learning?
This content is taken from the University of Padova's online course, Advanced Precalculus: Geometry, Trigonometry and Exponentials. Join the course to learn more.
3.22
Skip to 0 minutes and 13 seconds Hello. Welcome to the section “It’s your turn on lengths, areas, and volumes”. OK, we have ... |
# What Is 15/45 as a Decimal + Solution With Free Steps
The fraction 15/45 as a decimal is equal to 0.333.
The fractions can be converted to their equivalent decimals. Fractions are mostly used to represent rational numbers. The decimal expansion of rational numbers is mostly terminating decimals or non-terminating r... |
cg-tower.com
You are watching: What is 60 divided by 4
Here we will show you step-by-step with comprehensive explanation just how to calculation 60 divided by 4 using long division.Before girlfriend continue, keep in mind that in the trouble 60 separated by 4, the numbers are defined as follows:60 = dividend4 = divis... |
# Algebra II : Graphing Parabolic Inequalities
## Example Questions
### Example Question #1 : Graphing Parabolic Inequalities
Give the solution set of the inequality:
The inequality has no solution
Explanation:
Rewrite in standard form and factor:
The zeroes of the polynomial are therefore , so we test one value... |
# Dividing Fractions - Divide Fractions and Whole Numbers
As with multiplying fractions, we saw that it is very easy, we just multiply the denominators and multiply the numerators. In the process of division is not much different from multiplication.
To divide two fractions, we convert the division operation into a m... |
To find the distance between the two ships, we use trigonometry, specifically the tangent function related to the angles of depression. The angles of depression from the lighthouse to the ships are the same as the angles of elevation from the ships to the top of the lighthouse.
For the Ship at 30° Angle of Depression: ... |
University Physics Volume 1
# 2.4Products of Vectors
University Physics Volume 12.4 Products of Vectors
## Learning Objectives
By the end of this section, you will be able to:
• Explain the difference between the scalar product and the vector product of two vectors.
• Determine the scalar product of two vectors.
•... |
# How do you solve using the completing the square method x^2-2x-10=0?
Feb 29, 2016
See solution below.
#### Explanation:
${x}^{2} - 2 x = 10$
$1 \left({x}^{2} - 2 x + m\right) = 10$
$m = {\left(\frac{b}{2}\right)}^{2}$
$m = {\left(- \frac{2}{2}\right)}^{2}$
$m = 1$
$1 \left({x}^{2} - 2 x + 1 - 1\right) = 10$
... |
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# ZingPath: Volume of Prisms and Pyramids
Searching for
## Volume of Prisms and Pyramids
Learn in a way your textbook can't show you.
Explore the full path to learning Volume of ... |
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# Center and spread | Lesson
## What are the center and spread of a data set?
A set of quantitati... |
Paul's Online Notes
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# 4th Grade Math Multiplying 2-digit by 2-digit Numbers Using the Area Model / Box Method.
## Presentation on theme: "4th Grade Math Multiplying 2-digit by 2-digit Numbers Using the Area Model / Box Method."— Presentation transcript:
4th Grade Math Multiplying 2-digit by 2-digit Numbers Using the Area Model / Box Met... |
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# Triangles and the Pythagorean Theorem Study Guide
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## Introduction to Triangles and the Pythagorean Theorem
### Lesson Summary
In this lesson, you will learn the special names for the sides of a right triangle. You will also learn how to use the Pythagorean theorem to find missing parts ... |
# Common Core: High School - Algebra : Polynomial Identities and Numerical Relationships: CCSS.Math.Content.HSA-APR.C.4
## Example Questions
### Example Question #21 : Polynomial Identities And Numerical Relationships: Ccss.Math.Content.Hsa Apr.C.4
Use FOIL for the following expression.
Explanation:
The first step... |
# GRE Math : Other Number Line
## Example Questions
### Example Question #1 : Number Line
The range of the earnings for architecture graduates is , and the range of the salaries for engineering graduates is .
Which of the following statements individually provide(s) sufficient additional information to determine th... |
# Cos 30 value
cos 30 value
## What is the value of cos 30°?
The value of \cos 30^\circ is a fundamental trigonometric value that is frequently used in mathematics and various applications. To determine this value, one can rely on either trigonometric identities or geometric methods.
### Solution By Steps:
1. Usin... |
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# Linear Inequalities in Two Variables
## Graph inequalities like 2x + 3 < y on the coordinate plane
Estimate... |
1. Identity
sinA / (1+cosA) = tan 0.5A
2. Hello, Punch!
We need a few identities: .$\displaystyle \begin{array}{cccccccccc}\sin^2\!\frac{A}{2} &=& \dfrac{1-\cos A}{2} && \Rightarrow && \sin\frac{A}{2} &=& \sqrt{\dfrac{1-\cos A}{2}} \\ \\[-3mm] \cos^2\!\frac{A}{2} &=& \dfrac{1+\cos A}{2} && \Rightarrow && \cos\frac{A... |
# Quadratic Equations Set – 2
1. I. 4x2 + 27x + 18 = 0,
II. 2y2 – 7y + 3 = 0
A) x > y
B) x < y
C) x ≥ y
D) x ≤ y
E) x = y or relation cannot be established
Answer & Explanation
Option B
Solution:
4x2 + 27x + 18 = 0
4x2 + 24x + 3x + 18 = 0
So x = -3/4, -6
2y2 – 7y + 3 = 0
2y2 – 6y – y + 3 = 0
So y = 1/2, 3
Put all ... |
Thanks to theidioms.com
# Learn Linear Algebra for Data Science (Mini-Course)
## Learn Linear Algebra for Data Science (Mini-Course)
### Dot Products and Matrix Multiplication
While working with matrices, there are two major forms of multiplicative operations: dot products and matrix multiplication. A dot product t... |
Parallel & Perpendicular Lines
# Parallel & Perpendicular Lines
## Parallel & Perpendicular Lines
- - - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - - -
##### Presentation Transcript
1. Parallel & Perpendicular Lines Identifying and graphing March, 2011 Ms.... |
# Equations of Concentric Circles
We will learn how to form the equation of concentric circles.
Two circles or more than that are said to be concentric if they have the same centre but different radii.
Let, x$$^{2}$$ + y$$^{2}$$ + 2gx + 2fy + c = 0 be a given circle having centre at (- g, - f) and radius = $$\mathrm... |
New
New
Year 3
# Scale divisions derived from multiplication facts by 10
I can use unitising and multiplying and dividing by 10 to scale division facts.
New
New
Year 3
# Scale divisions derived from multiplication facts by 10
I can use unitising and multiplying and dividing by 10 to scale division facts.
Share ac... |
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# Points in the Coordinate Plane
%
Progress
Practice Points in the Coordinate Plane
Progress
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Points in the Coordinate Plane
Have you ever wanted to find a sunken ship? Take a look at this dilemma.
Gina and Cameron are very excited because they are going ... |
## RWM102 Study Guide
### 6a. Determine the number of solutions of a given system of linear equations
• How do you verify if a point is a solution to a system of equations?
A solution to a system of equations is just like the solution to a single linear equation, except that the point must satisfy both equations in ... |
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# The mean weight of $500$ male students in a certain college in $151$ pounds and the standard deviation is $15$ pounds. Assuming the weights are normally distributed, find how many students weigh between $120$ and $155$ pounds
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A)
Toolbox:
• Standard normal distribution:
• In a standard norma... |
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