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# TutorMe Blog
## What Makes Two Shapes Similar Figures?
Inactive
Jana Russick
March 01, 2021
Two figures are considered to be "similar figures" if they have the same shape, congruent corresponding angles (meaning the angles in the same places of each shape are the same) and equal scale fact... |
# How to Solve Linear Differential Equation
A linear equation or polynomial, with one or more terms, consisting of the derivatives of the dependent variable with respect to one or more independent variables is known as a linear differential equation.
A general first-order differential equation is given by the express... |
# Direction Cosines & Direction Ratios of a Line
View Notes
## Concepts of Direction Ratios of a Line in 3D Cartesian Coordinate System
Vector analysis is a part of the advanced subjects of mathematics and physics. It is used in different concepts to calculate the angle of the components of a vector quantity plotted... |
### Home > CCA2 > Chapter 5 > Lesson 5.2.5 > Problem5-124
5-124.
Some of the following algebraic fractions have common denominators and some do not. Add or subtract the expressions and, if possible, simplify.
1. $\frac { 3 } { ( x - 4 ) ( x + 1 ) } + \frac { 6 } { x + 1 }$
$\frac{3}{(x-4)(x+1)}+\frac{6}{x+1}\cdot \... |
What Do The Stars Say About Hugh Laurie? (11/09/2019)
How will Hugh Laurie get by on 11/09/2019 and the days ahead? Let’s use astrology to perform a simple analysis. Note this is just for fun – don’t get too worked up about the result. I will first find the destiny number for Hugh Laurie, and then something similar to... |
## Friday, March 13, 2009
### Math problems of the week: 6th grade Connected Math vs. Singapore Math
1. From "Bit and Pieces II" unit of the 6th grade Connected Mathematics curriculum (Bits and Pieces, II. p. 48):
Problem 4.4
Work with your group to develop at least one algorithm for adding fractions and at least o... |
# Electronic calculators may not be used. This text is not the text of solutions of exam papers! Here we will discuss the solutions of the exampapers.
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# Mathematics Common Core Cluster. Mathematics Common Core Standard. Domain
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## Transcription
1 Mathematics Common Core Domain Mathematics Common Core Cluster Mathematics Common Core Standard Number System Know that there are numbers that are not rational, and approx... |
# How to find the standard form of the equation of the specified circle given that it Is tangent to both axis and passes through ( 2 ,-1)?
May 25, 2017
${x}^{2} + {y}^{2} - 10 x + 10 y + 25 = 0$
or ${x}^{2} + {y}^{2} - 2 x + 2 y + 1 = 0$
#### Explanation:
As the circle is tangent to both the axis, its centre is eq... |
# Difference between revisions of "2011 AIME I Problems/Problem 4"
## Problem 4
In triangle $ABC$, $AB=125$, $AC=117$ and $BC=120$. The angle bisector of angle $A$ intersects $\overline{BC}$ at point $L$, and the angle bisector of angle $B$ intersects $\overline{AC}$ at point $K$. Let $M$ and $N$ be the feet of the p... |
# Exercise 6.2(Linear Inequalities )
Solve the following inequalities graphically in two-dimensional plane:(Ex 6.2 Linear Inequalities ncert math solution class 11)
Question 1: x + y < 5
Solution: Given that
x 0 5 y 5 0
Now, draw a dotted line x + y = 5 in the graph
Now, consider x + y < 5
Select a point (0, 0)... |
# y_n=log x_n, n =2,3,4,...and y_n-(n-1)/n y_(n-1)=1/n log n, with y_2=log sqrt2, how do you prove that x_n=(n!)^(1/n)?
Jan 24, 2017
By induction
#### Explanation:
Note that as ${y}_{n} = \log \left({x}_{n}\right)$, we have ${x}_{n} = {e}^{{y}_{n}}$ (assuming the natural logarithm. Using a different base will not c... |
# How do you solve 5(x + 4) = 10?
Apr 5, 2016
$x = - 2$
#### Explanation:
color(blue)(5(x+4)=10
Use distributive property
color(brown)(a(b+c)=ab+ac
$\rightarrow 5 x + 20 = 10$
Subtract both sides by $20$
$\rightarrow 5 x + 20 - 20 = 10 - 20$
$\rightarrow 5 x = - 10$
Divide both sides by $5$
$\rightarrow \fr... |
# How do you convert -145.8^circ to D^circM'S'' form?
May 8, 2017
Strip off the numbers to the right of the decimal and convert those to minutes.
Strip off the numbers to the right of the decimal of the converted minutes and convert those to seconds.
#### Explanation:
Strip off the number(s) to the right of the dec... |
# 1999 AHSME Problems/Problem 16
## Problem
What is the radius of a circle inscribed in a rhombus with diagonals of length $10$ and $24$?
$\mathrm{(A) \ }4 \qquad \mathrm{(B) \ }\frac {58}{13} \qquad \mathrm{(C) \ }\frac{60}{13} \qquad \mathrm{(D) \ }5 \qquad \mathrm{(E) \ }6$
## Solution
Let $d_1=10$ and $d_2=24$... |
## Lesson: Modeling and Recording AdditionDeveloping the Concept
Help with Opening PDF Files
Once children have had practice adding 1 to numbers 0 through 9, you can introduce the concept of adding 2 to a number. Then you can focus on different ways to make a number, up to 10, include adding doubles.
Materials: over... |
# Factors of 714: Prime Factorization, Methods, and Examples
Factors are a list of numbers that divide the given number leaving zero as the remainder. 714 is an even and composite number. It has 16 factors in total.
The factors will be both positive and negative if the given number is achieved by multiplying two-fact... |
# Inequalities Concise Class-9th Selina ICSE Maths Solution
Inequalities Concise Class-9th Selina ICSE Maths Solution Chapter-11. We provide step by step Solutions of Exercise / lesson-11 Inequalities for ICSE Class-9 Concise Selina Mathematics by R K Bansal.
Our Solutions contain all type Questions with Exe-11 A to... |
# PARAM VISIONS
All about civil construction knowledge- PARAM VISIONS
### Calculating the quantity of water in an open well.
Let us calculate the quantity of water present in the open well for the given drawing.
Given data:
Depth of water = h = 2700mm = 2.7m.
Outer diameter of RCC ring = D = 1200mm.
Ringwall thi... |
# Jessica Chastain Gets An Interesting Astrology Analysis (03/26/2020)
How will Jessica Chastain perform on 03/26/2020 and the days ahead? Let’s use astrology to complete a simple analysis. Note this is of questionable accuracy – don’t get too worked up about the result. I will first calculate the destiny number for J... |
# RS Aggarwal Class 10 Solutions Chapter 4 Triangles Ex 4E
## RS Aggarwal Class 10 Solutions Chapter 4 Triangles Ex 4E
These Solutions are part of RS Aggarwal Solutions Class 10. Here we have given RS Aggarwal Solutions Class 10 Chapter 4 Triangles Ex 4E.
Other Exercises
Question 1.
Solution:
Two properties for sim... |
# How to Teach Fractions with LEGO Bricks
Keep kids engaged by learning how to teach fractions with LEGO bricks!
Understanding how all of the parts of a fraction fit together to make a whole often mystifies young minds until they find a relatable concept that brings it all together for them.
LEGO bricks are an easy ... |
Question
Which equivalent expression will be generated by applying the Distributive Property and combining like terms in the expression 11 4(x 2y 4)
1. Expression (C) 4x + 8y + 27 will be generated by applying the Distributive Property and combining like terms in the expression 11 + 4(x + 2y + 4).
### What is the Di... |
Approximations (using Differentiation)
Chapter 6 Class 12 Application of Derivatives
Serial order wise
Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class
### Transcript
Question 1 Using differentials, find the approximate value of each of the following up to 3 places of decimal. (ix) γ(82... |
#### Which term of the AP: -2, -7, -12,... will be -77? Find the sum of this AP upto the term -77.
$\text{The given AP is } -2, -7, -12, \ldots \\ \text{Here first term }(a) = -2 \\ \text{Common difference }(d) = -7 - (-2) = -7 + 2 = -5 \\ \text{Let } n\textsuperscript{th} \text{ term be } -77 \\ \text{Then } a_{n} = ... |
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## AP®︎ Calculus AB (2017 edition)
### Course: AP®︎ Calculus AB (2017 edition)>Unit 4
Lesson 7: D... |
## Area Word Problems
1A square garden with a side length of 150 m has a square swimming pool in the very centre with a side length of 25 m . Calculate the area of the garden.
2A rectangular garden has dimensions of 30 m by 20 m and is divided in to 4 parts by two pathways that run perpendicular from its sides. One p... |
EXAMPLE 1
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# EXAMPLE 1 - PowerPoint PPT Presentation
Identify the center and radius. From the equation, the graph is a circle centered at the origin with radius. r = 36 = 6. EXAMPLE 1. Graph an equation of a circle. Graph y 2 = – x 2 + 36 . Identify the radius of the circle . SOLUTION. STEP 1.
I am the owner,... |
Become a math whiz with AI Tutoring, Practice Questions & more.
HotmathMath Homework. Do It Faster, Learn It Better.
# Solving Rational Equations
Rational equations are invaluable tools that have a significant impact on various aspects of our daily lives, from personal finances to complex engineering tasks. They ena... |
What Is the Distributive Property?
Question
The distributive property is a rule that governs how you can multiply and add numbers
00:00
00:00
What Is the Distributive Property?
Hi my name is Bassem Saad. I'm an associate math instructor and a PhD candidate at UC Davis. I'm here today for About.com to answer the quest... |
How do you factor 2x^3 - 3x^2 - 5x?
Nov 14, 2015
$2 {x}^{3} - 3 {x}^{2} - 5 x = x \left(2 x - 5\right) \left(x + 1\right)$
Explanation:
First, note that each term has a factor of $x$, and so we have
$2 {x}^{3} - 3 {x}^{2} - 5 x = x \left(2 {x}^{2} - 3 x - 5\right)$
Now, we can use the quadratic formula to find the... |
# Algebra As Patterns
If you think of Mathematics as a language, then Algebra would be that part of the language which describes various patterns around us. If there is any repetitive pattern, then we can use algebra to simplify this and have a general expression to describe this pattern. Algebraic thinking starts as ... |
# 2012 AIME I Problems/Problem 13
## Problem 13
Three concentric circles have radii $3,$ $4,$ and $5.$ An equilateral triangle with one vertex on each circle has side length $s.$ The largest possible area of the triangle can be written as $a + \tfrac{b}{c} \sqrt{d},$ where $a,$ $b,$ $c,$ and $d$ are positive integers... |
Worksheet on Forming of Linear Equations in One Variable come with numerous questions framed on the topic and gives you ample practice. Solve the Questions on Forming of Linear Equations in One Variable and improve your logical skills as well as speed while attempting the exams. Step by Step Solutions makes it clear fo... |
We think you are located in South Africa. Is this correct?
# Completing The Square
## Completing the square
Can you solve each equation using two different methods?
1. $$x^2 - 4 = 0$$
2. $$x^2 - 8 = 0$$
3. $$x^2 -4x + 4 = 0$$
4. $$x^2 -4x - 4 = 0$$
Factorising the last equation is quite difficult. Use the previous... |
# What does a rhombuses look like?
Page Contents
## What does a rhombuses look like?
A rhombus looks like a diamond Opposite sides are parallel, and opposite angles are equal (it is a Parallelogram). And the diagonals “p” and “q” of a rhombus bisect each other at right angles.
## What is a rhombus in maths?
In pla... |
# Geometry Stuff... XD
## This is just some theorems, postulates, properties, and all kinds of other geometry stuff. Enjoy!
Chapter 1.
### General Theorems
Reflexive Property=
A quantity is congruent (equal) to itself. a = a
Symmetric Property=
If a = b, then b = a.
Transitive Property=
If a = b and b = c, then ... |
# Balanced Equation
Directions: Use the operation symbols (+, -, x, and ÷) to make the equation true. Operations may be used more than once.
### Hint
What is a value for the left side of the equation? What is a value for the right side of the equation?
There are many possibilities, here is one
2 x (3 x 7 + 9) = (1 ... |
When students reach 3rd and 4th grade level math, they will begin to learn multiplication and division, two of the most essential mathematical operations. Students will also learn how to use these operations for learning other math concepts like fractions, decimals, or percentages. In a previous blog post, I have walke... |
# Understanding Cryptic Quiz Math Worksheet Answers D 75
## What is a Cryptic Quiz?
A cryptic quiz is a set of questions that require mathematical equations to be solved in order to determine the answer. It can be used to test the knowledge of the participants in mathematics and is often used in exams for school or c... |
Maharashtra Board 9th Class Maths Part 1 Practice Set 3.1 Solutions Chapter 3 Polynomials
Balbharti Maharashtra State Board Class 9 Maths Solutions covers the Practice Set 3.1 Algebra 9th Class Maths Part 1 Answers Solutions Chapter 3 Polynomials.
Practice Set 3.1 Algebra 9th Std Maths Part 1 Answers Chapter 3 Polyno... |
Simplify ( 2x^2 - 8 )/( x - 2 ) + 13/x( x -2 ) - ( 4x^2 - 16 )/( x + 2 )
giorgiana1976 | Student
In order to calculate the sum or difference of 3 ratios, we have to verify if they have a common denominator.
But, before verifying if they have a common denominator, we'll solve the difference of squares from the brack... |
# SAT Math: Geometry
## Triangles
A 15 foot ladder is left leaning against a wall. The base of the ladder is 12 feet from the wall. How many feet above the ground does the ladder touch the wall?
A. 8
B. 9
C. 10
D. 11
E. 12
## Knowsys Method
Read the question carefully. There is no diagram in this probl... |
Title
College Algebra
Equations Involving Rational Exponents
WTAMU > Virtual Math Lab > College Algebra > Tutorial 19: Radical Equations and Equations Involving Rational Exponents
*Inverse of add. 4 is sub. 4 *Square root is by itself on one side of eq.
If you square a square root, it will disappear. This is wha... |
Have you ever heard of the term derivative? Well! It’s a fundamental tool of calculus. What makes it unique, is the fact that this tool can compute the change of a function at any point. In calculus, this concept is equally important as integral, which is the reverse of derivative also called anti-derivative.
The rate... |
# Section 8.6. You probably know that a lighter tree climber can crawl farther out on a branch than a heavier climber can, before the branch is in danger.
## Presentation on theme: "Section 8.6. You probably know that a lighter tree climber can crawl farther out on a branch than a heavier climber can, before the branc... |
There are 366 different Starters of The Day, many to choose from. You will find in the left column below some starters on the topic of Mensuration. In the right column below are links to related online activities, videos and teacher resources.
A lesson starter does not have to be on the same topic as the main part of ... |
Open in App
Not now
# Class 9 NCERT Solutions- Chapter 11 Constructions – Exercise 11.2
• Last Updated : 28 Dec, 2020
### Question 1. Construct a ∆ ABC in which BC = 7 cm, ∠B = 75° and AB + AC = 13 cm.
Solution:
Steps of construction:
1. Draw a line segment BC base of cm is drawn.
2. At point B draw an angle... |
Scientific Notation
# Scientific Notation
## Scientific Notation
- - - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - - -
##### Presentation Transcript
1. Scientific Notation Writing large and small numbers
2. It’s easy to make mistakes when computing with s... |
Overcast Weather Pokémon, Seventh Moon Anime, Elkmont Campground Store, Get Value From Array Python, Optimal Blood Glucose Level For Ketosis, Coughing In The Morning With Mucus, Restricted Boltzmann Machine - Assignment, Clamp On Flash Hider, " />
20 Jan 2021
No. Distributive Property with Variables Worksheet Along wi... |
# 7 is equal to 8?
We start with the following equality, which we assume to be true:
a + b = c
We can write equality as follows:
(8a-7a) + (8b-7b) = (8c-7c)
Putting all multiples of 7 on one side and 8 on the other, we have:
8a + 8b-8c = 7a + 7b-7c
Highlighting 7 on one side and 8 on the other, we have:
8 (a + ... |
Paul's Online Math Notes
[Notes]
Calculus II - Notes
Integration Techniques Previous Chapter Next Chapter Parametric Equations and Polar Coordinates Hydrostatic Pressure Previous Section
## Probability
In this last application of integrals that we’ll be looking at we’re going to look at probability. Before actually... |
# Unit vector – problems and solutions
Unit vector – problems and solutions
1. An object moves at a velocity of v = (2i − 1.5j) m/s. What is the displacement of the object after 4 seconds?
Known :
The horizontal component of the velocity (vx) = 2 m/s
The vertical component of the velocity (vy) = 1.5 m/s
Time inte... |
# Factoring Polynomials
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## Transcription
1 UNIT 11 Factoring Polynomials You can use polynomials to describe framing for art. 396 Unit 11 factoring polyno... |
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## Stabilize These Squares
Given the two balance scales, we might ask how much the green triangle weighs.
Or perhaps, we might want to know the value of $t$ in the equations \begin{aligned} s + t &= 3 \\ 2s + t &= 5. \end{aligned} In either case, we can use the same approach: the elimination method.
Eliminatio... |
# Identity Matrix
Identity Matrix is the matrix which is n × n square matrix where the diagonal consist of ones and the other elements are all zeros. It is also called as a Unit Matrix or Elementary matrix. It is represented as In or just by I, where n represents the size of the square matrix. For example,
$$\begi... |
# Multiplication of a Fraction by Fraction – Definition, Examples | How do you Multiply a Fraction by a Fraction?
Have you stuck at some point while multiplying one fraction with another fraction and need help? Don’t bother as we are with you in this and compiled an article covering the fraction definition, how to mul... |
Home > Pre-Algebra > Percentages > Percentage Sale Price
## Percentage Sale Price
#### Introduction
Percentage is a way of expressing a number as a fraction of 100. Percentages take a number and split it into 100. You can then express segments of the whole in terms of percentages. For example, if you find 20% of som... |
Saturday, May 22, 2021 10:24:57 AM
# Measures Of Central Tendency Problems And Solutions Pdf
File Name: measures of central tendency problems and solutions .zip
Size: 12106Kb
Published: 22.05.2021
Measures of dispersion exercises with answers. Answer choices in this exercise appear in a different order each time the... |
## Counting on Rules of Arithmetic CORA
Counting on Rules of Arithmetic.
We count on from a starting number like 3 by a second number, the count on number or shift number like 2.
3+2 means start at 3 and count on by 2.
We imagine we are counting on along a number line. So first we review some number line rules.
1... |
## Digit Manipulation part 2
Still… between this blog and the YouTube video, there doesn’t seem to be a good explanation for why the answer to a digit manipulation comes to the magic “1” proposed by other proofs instead of some other number.
To recap:
x = .999…
10x = 9.999…
9x = 9
x = 1
The answer I’ve given for... |
# Chapter 10: Linear Equations
## Linear Equations
• To solve a linear equation you need to get the letter on its own on one side
• It is really important to write your working neatly when you are solving equations
• 5x + 3 = 18
• -3
• 5x = 15
• /5
• x=3
• Every line of working should have an equals sign in it... |
## Antidifferentiation (Part 1)
1. Derivatives Properties Review. Let ${F(x)}$ be given. We recall the derivative
(1)$\displaystyle \frac{\mathrm{d} F(x)}{\mathrm{d} x}=f(x)$
is defined by
(2)$\displaystyle f(x) = F'(x) = \lim_{h\rightarrow 0}\frac{F(x+h)-F(x)}{h}.$
We have several rules for differentiation:
Power Rul... |
# 3.2 The derivative as a function
Page 1 / 10
• Define the derivative function of a given function.
• Graph a derivative function from the graph of a given function.
• State the connection between derivatives and continuity.
• Describe three conditions for when a function does not have a derivative.
• Explain the me... |
# Golden Section
To understand what constitutes a golden section, consider the top line segment shown on the next page. The line segment has three of its points marked. Point P partitions the line segment AB into two smaller segments: from left endpoint A to point P (AP ), and from P to right endpoint B (PB ). The lin... |
# How do you write an equation of an ellipse in standard form given vertices (4,-7) and (4,3) and foci (4,-6) and (4,2)?
Jan 9, 2017
${\left(x - 3\right)}^{2} / {3}^{2} - {\left(y + 2\right)}^{2} / {5}^{2} = 1$ The Socratic graph is inserted.
#### Explanation:
graph{(x-3)^2/3^2+(y+2)^2/5^2-1=0 [-20, 20, -10, 10]}
... |
## Presentation on theme: "2.4: Quadratic Functions."— Presentation transcript:
Let a, b, and c be real numbers a 0. The function f (x) = ax2 + bx + c is called a quadratic function. The graph of a quadratic function is a parabola. Every parabola is symmetrical about a line called the axis (of symmetry). x y The int... |
# Project Euler 56 Solution: Powerful digit sum
Problem 56
A googol (10100) is a massive number: one followed by one-hundred zeros; 100100 is almost unimaginably large: one followed by two-hundred zeros. Despite their size, the sum of the digits in each number is only 1.
Considering natural numbers of the form, ab, ... |
# How do you simplify (x+5)/(x-3)*(7x^2 - 21x) / (7x)?
Sep 21, 2015
$x + 5$
#### Explanation:
Completely factor out all expressions. You can factor out 7x from $\left(7 {x}^{2} - 21 x\right)$.
$\frac{x + 5}{x - 3} \cdot \frac{7 {x}^{2} - 21 x}{7 x}$
$= \frac{x + 5}{x - 3} \cdot \frac{\left(7 x\right) \left(x - 3\... |
# Mean|Definition & Meaning
## Definition
The mean, also known as the average, is the measure of the central tendency of a given data set. It is calculated by first adding the total values given in a data set and then dividing it by the total number of values.
Figure 1 shows the calculation of the mean of four numbe... |
# What to Do When Math Fails You on the GMAT!
They say Mathematics is a perfect Science. There is a debate over this among scientists but we can definitely say that Mathematical methods are not perfect so we cannot use them blindly. We could very well use the standard method for some given numbers and get stranded wit... |
# Math: How Do I Work Out Percentages?
## Simple Sums
There all sorts of great math self-help books out there- some people just have a knack for explaining numbers in a way that's easy to understand. When it comes to calculating percentages, though, it really couldn't be easier to get your head around.
The key to un... |
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# Decimal Division Without a Calculator Step-by-Step With Examples
By Mary Smith. Updated: March 11, 2022
Doing decimal divisions without a calculator may seem difficult, but there is an easy method which we are going to show you. The trick is simply to remove the decimal point in the division and then replace... |
# Factoring Polynomials
## Presentation on theme: "Factoring Polynomials"— Presentation transcript:
Factoring Polynomials
Section 0.4
Factor by finding greatest common
factors (GCF) EXAMPLES Factor the expression by finding what each of the terms have in common. These are called greatest common factors and you shoul... |
The Beauty of Trigonometry: A Primer
The Beauty of Trigonometry: A Primer
Trigonometry is an essential mathematical tool that is used in a variety of fields, from engineering and architecture to astronomy and navigation. It is often seen as a challenging subject, but it can also be incredibly beautiful and rewarding.... |
Understanding the Same Side Interior Angles Theorem
1) Introduction to the Same Side Interior Angles Theorem: What is it and How Can It Help You Solve Geometric Problems?
The Same Side Interior Angles Theorem is an essential foundational building block of geometry and can be used to greatly simplify a geometric proof... |
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# Solve for x:${{\tan }^{-1}}\left( \dfrac{x}{2} \right)+{{\tan }^{-1}}\left( \dfrac{x}{3} \right)=\left( \dfrac{\pi }{4} \right),0 < x < \sqrt{6}$
Last updated date: 20th Jun 2024
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394.5k+ views
Hin... |
## draw a rough sketch of the pairs of perpendicular line
Question
draw a rough sketch of the pairs of perpendicular line
in progress 0
1 month 2021-08-20T05:32:05+00:00 1 Answer 0 views 0
In this chapter, you will learn how to construct, or draw, different lines, angles and shapes. You will use drawing instrum... |
# Find the vector equation of the plane passing through the intersection of the planes $\overrightarrow r .(2\hat i + 2 \hat j - 3\hat k) = 7, \overrightarrow r .(2\hat i + 5\hat j + 3\hat k ) = 9$ and through the point $(2, 1, 3).$
$\begin{array}{1 1} \overrightarrow r .(4\hat i + 7\hat j -15\hat k)=30 \\ \overrighta... |
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# How do you multiply $(3 + 2i)(1 - 3i)$?
Last updated date: 21st Jun 2024
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Hint: Real numbers and imaginary numbers are the two types of numbers, real numbers are the numbers that can ... |
# Video: AQA GCSE Mathematics Higher Tier Pack 5 • Paper 2 • Question 19
Construct the locus of points that are the same distance from segments 𝐴𝐵 and 𝐴𝐶.
03:23
### Video Transcript
Construct the locus of points that are the same distance from segments 𝐴𝐵 and 𝐴𝐶.
Now, when we’re constructing the locus of p... |
# 031 Kindergarten Math Practices Measure Shapes Telling Time Money Homework Activities Passages English Learning Material Reading Book Kids Fun Year Assessment New Curriculum
Great, fun and free math worksheets should be able to present a mathematical problem in different ways. Math is after all nothing more than a n... |
# How do you solve t- \frac { 5} { 8} t + \frac { 3} { 5} = \frac { 3} { 5} ( t + \frac { 5} { 2} )?
Nov 3, 2016
$t = - 4$
#### Explanation:
solve $t - \frac{5}{8} t + \frac{3}{5} = \frac{3}{5} \left(t + \frac{5}{2}\right)$
multiply everything by the LCD which is 40
$40 \left(t - \frac{5}{8} t + \frac{3}{5} = \frac... |
## Addition of Integers Exercises – Set 1
Below are exercises on addition of signed numbers. Part I and II are exercises for addition of integers, while part III is an extension to fractions and decimals. Solutions and answers will be can be found here.
Part I
1. -7 + 13
2. (-8) + (-9)
3. 5 + (-18)
4. 34 + (-38)
... |
# Concept of Standard form and its uses and benefits with calculations.
Standard form is basically a method to write down big or very small values in an easy way, for example, you can write 1.9 × 106 in place of 1900000 and it is very useful in calculation and saves time for small values, it can also be written in the... |
Students often turn to ISC S Chand Maths Class 12 Solutions Chapter 6 Matrices Ex 6(i) to clarify doubts and improve problem-solving skills.
## S Chand Class 12 ICSE Maths Solutions Chapter 6 Matrices Ex 6(i)
Using elementary transformation, find the inverse of the following matrices, if it exists.
Question 1.
A = $... |
# QUADRATICS EQUATIONS/EXPRESSIONS CONTAINING x2 TERMS.
## Presentation on theme: "QUADRATICS EQUATIONS/EXPRESSIONS CONTAINING x2 TERMS."— Presentation transcript:
- Quadratic number patterns are sequences of numbers where the difference between terms is not the same and the rule contains a squared term - You need to... |
# AP Calculus BC : Maclaurin Series
## Example Questions
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### Example Question #1 : Maclaurin Series
For which of the following functions can the Maclaurin series representation be expressed in four or fewer non-zero terms?
Explanation:
Recall the Maclaurin series formula:
Despite being a 5th deg... |
# AP Statistics Curriculum 2007 EDA Pics
(diff) ← Older revision | Current revision (diff) | Newer revision → (diff)
## General Advance-Placement (AP) Statistics Curriculum - Pictures of Data
### Pictures of Data
There are a variety of graphs and plots that may be used to display data.
• For quantitative variables... |
# What is a solution to the differential equation (x+1)y'-2(x^2+x)y=e^(x^2)/(x+1) where x>-1 and y(0)=5?
Jun 24, 2016
$y \left(x\right) = \left(6 - \frac{1}{x + 1}\right) {e}^{{x}^{2}}$
#### Explanation:
The differential equation is first order linear nonhomogeneus. In this case the solution is composed from the ho... |
# What is percentile in statistics?
## What is percentile in statistics?
A percentile (or a centile) is a measure used in statistics indicating the value below which a given percentage of observations in a group of observations fall. For example, the 20th percentile is the value (or score) below which 20% of the obse... |
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# The equivalent resistance between X and Y will beA) 4 ohmB) 4.5 ohmC) 2 ohmD) 20 ohm.
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Hint: Resistors are said to be in parallel when their two termina... |
# Drawing and Interpreting Pictograms (Pictographs)
Drawing and Interpreting Pictograms
• This pictogram shows the number of cars parked in a car park on each day.
• Every car drawn represents 10 cars parked in the car park.
• To work out the number of cars parked each day we count up in tens for each car drawn.
• On... |
# 6.1 Reading and writing decimals
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This module is from Fundamentals of Mathematics by Denny Burzynski and Wade Ellis, Jr. This module discusses how to read and write decimals. By the end of the module students should understand the meaning of digits occurring to the right of the ones position, be familiar ... |
# Algorithms on Graphs: What is a graph?
To simply put it, a graph is a collection of vertices and a collection of edges such that each edge connects a pair of vertices together. A visual representation would be:
However, graphs can come with various properties and varying sizes. Here are a few examples:
At this mom... |
# 3.4 - Difference in Proportions
3.4 - Difference in Proportions
When the null hypothesis of independence is rejected, the nature of dependence---its direction and magnitude---needs to be measured. A statistic that measures the direction and magnitude of the relationship between two variables is called an effect siz... |
solve-system-of-linear-equations-by-substitution-method-solving-word-problems-by-substitution
# Interactive video lesson plan for: Solve system of linear equations by substitution method | Solving word problems by substitution
#### Activity overview:
Solve system of linear equations by substitution method | Solving ... |
# What does 500 grams equal in cups?
500 grams is equal to 2.1 cups. To convert grams to cups, divide the grams by the conversion ratio of 1 gram to 0.0042267528 cups. Since 500 grams divided by 0.0042267528 cups per gram equals 118.131 cups, rounding to the nearest tenth gives us 2.1 cups.
When baking or cooking, yo... |
# How do you add and subtract mentally fast?
## How do you add and subtract mentally fast?
1. To add 9 to another number, add 10 and then subtract 1: 36 + 9 = 36 + 10 – 1 = 45.
2. To add 18 to another number, add 20 and then subtract 2: 48 + 18 = 48 + 20 – 2 = 66.
3. To add 97 to another number, add 100 and then subt... |
# Difference between revisions of "1986 AIME Problems/Problem 2"
## Problem
Evaluate the product $(\sqrt 5+\sqrt6+\sqrt7)(-\sqrt 5+\sqrt6+\sqrt7)(\sqrt 5-\sqrt6+\sqrt7)(\sqrt 5+\sqrt6-\sqrt7)$.
## Solution
Simplify by repeated application of the difference of squares.
$\left((\sqrt{6} + \sqrt{7})^2 - \sqrt{5}^2\ri... |
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