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# 3.2.1 Circles II, PT3 Practice
3.2.1 Circles II, PT3 Practice
Question 1:
(a) In Diagram below, KLMLPN and MPO are straight lines.
Find the value of x and of y.
(b) In the diagram below, O is the centre of the circle. Find the value of
(i) x (ii) y
Solution:
(a)
$\begin{array}{l}\angle LOM=\angle LNM={y}^{o}=... |
# How do you find the properties of a quadrilateral?
## How do you find the properties of a quadrilateral?
There are two properties of quadrilaterals: A quadrilateral should be closed shape with 4 sides….Properties of rhombus
1. Opposite angles are equal.
2. All sides are equal and, opposite sides are parallel to ea... |
# Integrate the function $(x^3-1)^\frac{1}{3}\;x^5$
$\begin{array}{1 1}\frac{1}{7}(x^3-1)^\frac{7}{3}+\frac{1}{4}(x^3-1)^\frac{4}{3}+c \\ \frac{1}{5}(x^3-1)^\frac{5}{3}+\frac{1}{4}(x^3-1)^\frac{4}{3}+c \\ \frac{1}{7}(x^2-1)^\frac{7}{3}+\frac{1}{4}(x^2-1)^\frac{4}{3}+c\\ \frac{1}{5}(x^2-1)^\frac{5}{3}+\frac{1}{4}(x^2-1... |
# What Is Equivalent To 2 3
## What Is Equivalent To 2 3
### What is the equivalent ratio 2 3?
2: 3 ratio corresponds to 6:15 ratio 2.) This is an example of reduction with a scale factor of 5. The 8-11 ratio corresponds to 40:55 ratio.
### To also know what the ratio of 2 to 3 is?
A report compares two numbers wi... |
# Limits
Limits, the first step into calculus, explain the complex nature of the subject. It is used to define the process of derivation and integration. It is also used in other circumstances to intuitively demonstrate the process of "approaching".
## Introduction
### Intuitive Look into Limits
The limit is one of... |
What is the NO-SHORTCUT approach for learning great Mathematics?
# How to Pursue Mathematics after High School?
For Students who are passionate for Mathematics and want to pursue it for higher studies in India and abroad.
Try this beautiful problem from the American Invitational Mathematics Examination, AIME 2012 ba... |
# What is (6x^2+3x)+(2x^2+6x)?
May 28, 2018
$8 {x}^{2} + 9 x$
#### Explanation:
Given -
$\left(6 {x}^{2} + 3 x\right) + \left(2 {x}^{2} + 6 x\right)$
$6 {x}^{2} + 3 x + 2 {x}^{2} + 6 x$
$8 {x}^{2} + 9 x$
May 28, 2018
Remove the parentheses and add the x^2 terms together. You get 6x^2 + 2 x^2 = 8 x^2.
Then do the... |
# Math Expressions Grade 3 Student Activity Book Unit 4 Lesson 14 Answer Key Relate Addition and Subtraction
This handy Math Expressions Grade 3 Student Activity Book Pdf Answer Key Unit 4 Lesson 14 Relate Addition and Subtraction provides detailed solutions for the textbook questions.
## Math Expressions Grade 3 Stu... |
# How do you simplify sqrt(18 x^8)?
Mar 10, 2016
$\sqrt{18 {x}^{8}} = 3 \sqrt{2} {x}^{4}$
#### Explanation:
If $a , b \ge 0$ then $\sqrt{a b} = \sqrt{a} \sqrt{b}$
$\textcolor{w h i t e}{}$
Notice that $18 = 2 \cdot 3 \cdot 3 = 2 \cdot {3}^{2}$
$\textcolor{w h i t e}{}$
Note also that $3 {x}^{4} \ge 0$ for all $x ... |
# How do you solve 1/3abs(1/2x-2) >= 2?
May 22, 2018
$\left(- \infty , - 8\right] \cup \left[16 , \infty\right)$
#### Explanation:
$\text{inequalities of the type } | x | \ge a$
$\text{always have solutions of the form}$
$x \le - a \text{ or } x \ge a$
$\text{isolate "|1/2x-2|" by dividing both sides by } \frac{... |
### Direct Variation
```
Equation of Direct Variation
When you see: “y varies direcly as x”
write
Write
the equation of direct variation
that has a coefficient of variation
equal to -3
Replace
k with -3
Assume
y varies directly as x. If the
coefficient of variation is ½, then what
is the value of y when x = -... |
# PSAT Math : How to find the probability of an outcome
## Example Questions
### Example Question #232 : Data Analysis
Joe has eight marbles: 3 Red, 2 Green, 2 Blue and 1 Yellow.
If Joe puts the marbles into a bag and draws out four, what are the odds that he gets exactly one of each color?
Explanation:
The proba... |
# Volumes of solid of revolution - Shell method
##### Examples
###### Lessons
1. Find the volume of the solid obtained by rotating the region bounded by the x-axis and $y=3x-x^4$ about the y-axis
1. Find the volume of the solid obtained by rotating the positive region bounded by $y=x^3$, $y=x$
2. about $x=2$
3. about ... |
Remembering Exact Values
Trig Maths Tips
At some point in trigonometry you'll be told that certain "interesting" angles have "exact" values for their sin, cos and tan. Here's the table of these special trig values in both degrees and radians:
``` DegreesRadians sin cos tan 30π/61/2√3/21/√3 45π/41/√21/√21 60... |
Associated Topics || Dr. Math Home || Search Dr. Math
### Other Ways to Get the Quadratic Formula
```Date: 02/19/2010 at 11:51:23
From: Davlon
Is there any way to derive the quadratic formula that does not
involve completing the square?
As a teacher, I like to find many different ways to approach
problems, so that ... |
# Simplifying Fractions and Finding Equivalent Fractions Tool
Created ByJim Hansen
Subject
Resource Type
File Type
PDF (1 MB|7 pages)
Standards
\$3.00
More products fromΒ Jim Hansen
\$3.00
• Product Description
• Standards
"Fraction Charter" is a simple hands-on tool that makes it easy for students to begin working on... |
# GED Math : Points and Coordinates
## Example Questions
### Example Question #1 : Points And Coordinates
Refer to the above diagram. Give the coordinates of the plotted point.
Explanation:
The point can be reached from the origin by moving to the right 7 units, making 7 the -coordinate. All points on the -axis, s... |
Edit Article
# wikiHow to Find Any Term of a Geometric Sequence
A geometric sequence is a sequence derived by multiplying the last term by a constant. Geometric progressions have many uses in today's society, such as calculating interest on money in a bank account. So if you were wondering how exactly you would work ... |
# Horizontal Translations or Phase Shifts
## Shift right or left along the x-axis.
Estimated7 minsto complete
%
Progress
Practice Horizontal Translations or Phase Shifts
MEMORY METER
This indicates how strong in your memory this concept is
Progress
Estimated7 minsto complete
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Phase Shift of Sinusoidal Functions
A ... |
# Rates
You have learned about unit rates. In this lesson, you will improve your understanding of rates by using complex fractions to help you solve different types of problems that involve unit rate comparisons.
Take a look at the problem below using the math you already know to solve the problem.
### Example 1
Ma... |
# Simultaneous Linear Equations ICSE Class 9 Maths MCQ
Simultaneous Linear Equations have two equations each with two variables and we have to find out the value of both the variables by solving the two equations simultaneously. This Maths quiz is based on this particular concept. This online Maths quiz will have a fe... |
# Skip counting by 7s
For learning skip counting by 7s, be sure that your child should know how to count the next number from the previous number. For that reinforce earlier counting skills by chanting them out loud with your student.
Counting by 7s means adding seven to previous number or jump by 7. Each number is 7 ... |
430 is what percent of 100? - SupportMyMoto
430 is what percent of 100?
WRITTEN BY: supportmymoto.com STAFF
Resolution for 430 is what p.c of 100:
430:100*100 =
(430*100):100 =
43000:100 = 430
Now we’ve got: 430 is what p.c of 100 = 430
Query: 430 is what p.c of 100?
Step 1: We make the idea that 100 is 100% s... |
# Find the points on the cone z^2 = x^2 + y^2 that are closest to the point (2,2,0).
This question aims to explain the concepts of maxima and minima. Formulas to calculate the extreme values of the function. Further, it explains how to calculate the distance between the points.
In mathematics, the length of the line ... |
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# 12.4: Magnetic Force between Two Parallel Currents
Learning Objectives
By the end of this section, you will be able to:
• Explain how parallel wires carrying currents can attract or repel each other
• Define the ampere and describe how it is related to current-carrying wires
• Calculate the f... |
# How do you solve the system of equations: 4x+3y=7 and -2x+y=9?
Aug 8, 2015
The solution for the system of equations is:
color(blue)(x=-2, y=5
#### Explanation:
$\textcolor{b l u e}{4 x} + 3 y = 7$............equation $\left(1\right)$
$- 2 x + y = 9$, multiplying this equation by $2$
$\textcolor{b l u e}{- 4 x} +... |
# 1964 AHSME Problems/Problem 3
## Problem
When a positive integer $x$ is divided by a positive integer $y$, the quotient is $u$ and the remainder is $v$, where $u$ and $v$ are integers. What is the remainder when $x+2uy$ is divided by $y$?
$\textbf{(A)}\ 0 \qquad \textbf{(B)}\ 2u \qquad \textbf{(C)}\ 3u \qquad \tex... |
# Algebra equation with fractions?
$$\frac{10}{r-3}+\frac4{3-r}=6$$
I am not sure how to solve this equation I know both that both denominators on the left side if multiplied by negative 1 equal the other one.
-
Do you mean $\frac{10}{r-3}$ or $\frac{10}{r}-3$? You can indicate which you mean by using parentheses – ... |
0
# How do you solve diamond problems that includes fractions?
Updated: 11/5/2022
Wiki User
9y ago
Diamond problems are easy! The top number of the diamond is the product of the 2 numbers on the side (multiply). The number on the bottom is the sum of the 2 numbers on the side (add)
Remember when adding fractions,... |
# Lesson Explainer: Limits of a Difference of Powers Mathematics
In this explainer, we will learn how to evaluate limits of a difference of powers.
Before we discuss how to evaluate the limit of a difference of powers of , letβs briefly recall the definition of a limit and some of the properties we will need.
### ... |
# How do you simplify: sqrt12+2sqrt27-5sqrt48 ?
Apr 6, 2017
$- 12 \sqrt{3}$
#### Explanation:
Let A$= \sqrt{12} + 2 \sqrt{27} - 5 \sqrt{48}$
When simplifying roots of integers it if often helpful to express the integer in terms of its prime factors.
$\sqrt{12} = \sqrt{2 \times 2 \times 3} = 2 \sqrt{3}$
$\sqrt{27... |
# Simplification of Decimal
Use the identities to solve the problems based on simplification of decimal. We will make use of these identities in some of the questions related to division of decimals.
Learn the following identities to apply these in simplifying decimal.
(a) (a + b)2 = a2 + b2 + 2ab
(b) (a - b)2 = a2... |
# Solution
(related to Problem: The Sultan's Army)
The smallest primes of the form $4n + 1$ are $5,$ $13,$ $17,$ $29,$ and $37,$ and the smallest of the form $4n - 1$ are $3,$ $7,$ $11,$ $19,$ and $23.$ Now, primes of the first form can always be expressed as the sum of two squares, and in only one way. Thus, $5 = 4+... |
# a*(variable)2 + b*(variable) + c
## Presentation on theme: "a*(variable)2 + b*(variable) + c"— Presentation transcript:
a*(variable)2 + b*(variable) + c
CH Factoring polynomials of the form: a*(variable)2 + b*(variable) + c Factor: 6x2 + 11x + 4 STEP 1: Is there a GCF of all terms? NO STEP 2: How many terms are the... |
# How To: Solve simple interest algebra problems
In this math lesson we will learn how to solve problems involving simple interest.
When you deposit money in a savings account, the bank pays you interest at a certain rate called interest rate. There are two types of interest: simple interest and compound interest. In... |
# 4.6 Add and subtract mixed numbers (Page 4/4)
Page 4 / 4
Subtract: $1\frac{3}{4}-6\frac{7}{8}.$
$-\frac{41}{8}$
Subtract: $10\frac{3}{7}-22\frac{4}{9}.$
$-\frac{757}{63}$
## Key concepts
• Add mixed numbers with a common denominator.
3. Simplify, if possible.
• Subtract mixed numbers with common denominators... |
# 1970 AHSME Problems/Problem 9
## Problem
Points $P$ and $Q$ are on line segment $AB$, and both points are on the same side of the midpoint of $AB$. Point $P$ divides $AB$ in the ratio $2:3$, and $Q$ divides $AB$ in the ratio $3:4$. If $PQ$=2, then the length of segment $AB$ is
$\text{(A) } 12\quad \text{(B) } 28\q... |
Study Guide
# Basic Operations - Order of Operations
## Order of Operations
The order in which we complete a mathematical equation or expression is super important. Doing the steps of a problem out of order can lead to a totally different answer, even if we do the calculations correctly. So, for everyone to get the ... |
# How do you use the limit process to find the area of the region between the graph y=2x-x^3 and the x-axis over the interval [0,1]?
Nov 22, 2016
See below.
#### Explanation:
Here is a limit definition of the definite integral. (I'd guess it's the one you are using.)
.${\int}_{a}^{b} f \left(x\right) \mathrm{dx} =... |
# Suppose you have 8 marbles and a two-pan balance used to compare the weight of 2 things. All of the marbles weigh the same except for one, which is heavier than all of the others. How would you find the heaviest marble if you are only allowed to weigh the marbles 2 times?
Let’s start solving this puzzle by keeping i... |
Rs Aggarwal 2019 2020 Solutions for Class 8 Maths Chapter 5 Playing With Numbers are provided here with simple step-by-step explanations. These solutions for Playing With Numbers are extremely popular among Class 8 students for Maths Playing With Numbers Solutions come handy for quickly completing your homework and pre... |
# WRITING FRACTIONS AS DECIMALS AND PERCENTS WORKSHEETS
Writing Fractions as Decimals and Percents Worksheets :
Worksheet given in this section will be much useful for the students who would like to practice problems on converting fractions into decimals and percents.
## Writing Fractions as Decimals and Percents Wo... |
# HCM And LCM And Time And Work
HCM and LCM
Factors
A factor of a number are all those numbers, which exactly divide the given number. “Exactly divides” means that when a number is divided by its factor the reminder is always 0.
For example: 1,2,and 4 are the factors of 4.
Multiples
Multiples of a number are ... |
# 2.3 Properties of the real numbers (Page 2/2)
Page 2 / 2
$\begin{array}{cc}\left(9y\right)4=9\left(y4\right)& \text{Both}\text{\hspace{0.17em}}\text{represent}\text{\hspace{0.17em}}\text{the}\text{\hspace{0.17em}}\text{same}\text{\hspace{0.17em}}\text{product}\text{.}\end{array}$
## Practice set b
Fill in the $... |
# Equivalent Equations
## equivalent equations
[i¦kwiv·ə·lənt i′kwā·zhənz]
(mathematics)
Equations that have the same set of solutions.
## Equivalent Equations
equations that have the same solution sets; in the case of multiple roots, the multiplicities of the respective roots must be equal. Thus, of the three equa... |
# Find the slope of the tangent to the curve $$\normalsize y =\large { \frac{x-1}{x-2},} \normalsize x \neq 2\; at\;x = 10$$
$\begin{array}{1 1} (A)\;\large\frac{1}{64} \\ (B)\;\large\frac{-1}{64} \\ (C)\; 64 \\ (D)\;-64 \end{array}$
Toolbox:
• If $y=f(x)$ then $\large\frac{dy}{dx}$=slope of the tangent to $y=f(x)$ a... |
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Bookmark it
{[ promptMessage ]}
TI83 Stat - Tech 1 DESCRIPTIVE STATISTICS with...
This preview shows pages 1–3. Sign up to view the full content.
Tech 1: DESCRIPTIVE STATISTICS with TI-83 (prepared by Mrs. Krystyna Karminska- Makagon) I. One variable statistics Problems: Given a set of data. 1.... |
# Digits versus Numbers
Rory was playing the Osmo Numbers Game (he was pretty spoiled by Santa this year!), and he was getting really frustrated because the game wanted him to make the number 12, and he kept doing 1 and 2 (instead of 10 and 2) and not getting it right. This led me to wonder how I could help him unders... |
rememberingsomer.com
You are watching: 20 divided by 12 as a fraction
Here us will present you step-by-step with comprehensive explanation just how to calculation 20 divided by 12 using long division.Before friend continue, keep in mind that in the problem 20 divided by 12, the numbers are identified as follows:20 = ... |
Question
# Construct a $2\times 2$ matrix $A={{\left[ {{a}_{ij}} \right]}_{2\times 2}}$ , whose elements are ${{a}_{ij}}$ and ${{a}_{ij}}=\dfrac{{{\left( i+j \right)}^{2}}}{2}$ .
Hint: At first construct the matrix by putting ${{a}_{ij}}$, with the actual values of $i,j$ . Then calculate the numerical values by using... |
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# What Are The Concepts Of Integration And Differentiation? How To Calculate?
Published
on
The integration and differentiation both are the basic concept of calculus and together form, “the first fundamental theorem of calculus”. The integral and differential calculus both hold a remarkable place in... |
# 19.6 Capacitors in series and parallel
Page 1 / 2
• Derive expressions for total capacitance in series and in parallel.
• Identify series and parallel parts in the combination of connection of capacitors.
• Calculate the effective capacitance in series and parallel given individual capacitances.
Several capacitors... |
# Learn Calculus in the Live Editor
Learn calculus and applied mathematics using the Symbolic Math Toolbox™. The example shows introductory functions `fplot` and `diff`.
To manipulate a symbolic variable, create an object of type `syms`.
`syms x`
Once a symbolic variable is defined, you can build and visualize func... |
How do we find divisors of a number? For example, how do we calculate the number of divisors of 900?
Answer: 900 = 22 × 32 × 52. Therefore, any number that is a factor of 900 can have powers of 2 equal to 20, 21 or 22. Similarly, for 3, the powers can be 30, 31, or 32 and for 5 they will be 50, 51, or 52. Writing the ... |
# Lesson 11
Dividing Numbers that Result in Decimals
Let’s find quotients that are not whole numbers.
### Problem 1
Use long division to show that the fraction and decimal in each pair are equal.
$$\frac{3}{4}$$ and 0.75
$$\frac{3}{50}$$ and 0.06
$$\frac{7}{25}$$ and 0.28
### Problem 2
Mai walked $$\frac{1}{8}... |
A Quadratic Equation in Standard Form
(a, b, and c can have any value, except that a can't be 0.)
To "Factor" (or "Factorise" in the UK) a Quadratic is to:
find what to multiply to get the Quadratic
It is called "Factoring" because we find the factors (a factor is something we multiply by)
## Example
The factors o... |
# Mathematics I (Math 1132)
Durham College, Mathematics
Free
• 0 lessons
• 0 quizzes
• 10 week duration
• ##### Measurements
An introduction to numerical computation. Emphasis is placed on scientific and engineering notation, the rule of significant figures, and converting between SI and Imperial units.
• ##### Frac... |
# Lesson 6-2 - Get as PowerPoint
Document Sample
``` Transparency 3-1
5-Minute Check on Chapter 2
1. Evaluate 42 - |x - 7| if x = -3
2. Find 4.1 (-0.5)
Simplify each expression
3. 8(-2c + 5) + 9c 4. (36d ... |
# How do you solve x^2+18x=10 by completing the square?
Jun 7, 2018
$x = - 9 \pm \sqrt{91}$
#### Explanation:
For completing the square, you take half the coefficient of the x value, square it, and add it. So in this case, 81 I suppose?
I apologize, I don't quite remember how to do this. However there is already a ... |
### Mathematics Class 10 Lab Manual | 21 Lab Activities
Mathematics Lab Manual Class X lab activities for class 10 with complete observation Tables strictly according to the CBSE syllabus also very useful & helpful for the students and teachers.
## Math Assignment Class XI Ch - 12
Extra questions of chapter 12 L... |
# Predicate Logic Second Term Fourth Year (10 CS) 1.
## Presentation on theme: "Predicate Logic Second Term Fourth Year (10 CS) 1."— Presentation transcript:
Predicate Logic Second Term Fourth Year (10 CS) 1
In this course, we shall only study First order Logic (FOL) Predicate Calculus Predicate Calculus First-Order... |
Q. 235.0( 1 Vote )
Using matrices, s
Given: x + 2y - 3z = - 4, 2x + 3y + 2z = 2 and 3x - 3y - 4z = 11
To find: Solution of the system of the equations i.e. values of x, y and z which satisfy these equations
To solve this equation and get values of x, y and z, we have:
AX = B where,
Now, check whether the system h... |
## Section3.10Inverses
The matrix inverse of a matrix $$A\text{,}$$ denoted $$A^{-1}\text{,}$$ is the matrix such that when multiplied by the matrix A the result is the identity matrix. (The identity matrix is the matrix with ones down the diagonal and zeroes everywhere else.)
For $$2\times2$$ matrices, if
$$A=\begi... |
Categories: Data Science
# Euclidean Distance Python: Easy Beginner’s Guide in 2020
## Introduction
In mathematics, the Euclidean Distance, also known as Euclidean metric, is a distance between two points in the Euclidean space that can be measured with a ruler and is given by the Pythagorean formula. By the use of ... |
# Real Mathematics: Puzzle #2
There are certain movies I remember from my childhood which are among my favorites of all times. It would be though to make a top-10 list but if I were to make such a list, Die Hard 3 would make the list with ease. Crazy German terrorist Simon Gruber against our heroes John McClane and Ze... |
# How do you expand (1+x^3)^4 using Pascal’s Triangle?
Feb 8, 2016
Since there are (4 + 1) = 5 terms in this expansion, we must find the numbers located in the ${5}^{t h}$ term of the Pascal's Triangle. To find the number of terms in an expansion, always add 1 to the exponent, as to include the ${0}^{t h}$ term.
###... |
# NCERT Solutions for Class 6 Maths Chapter 2 Whole Numbers Exercise 2.3
NCERT Solutions for Class 6 Maths Chapter 2 Whole Numbers Exercise 2.3
### NCERT Solutions for Class 6 Maths Chapter 2 Whole Numbers Exercise 2.3
NCERT Solutions for Class 6 Maths Chapter 2 Whole Numbers Ex 2.3
Exercise 2.3
Ex 2.3 Class 6 Mat... |
<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
# Trigonometric Form of Complex Numbers
## x plus y times i equals r times the sum of cosine theta and i times sine theta.
0%
Progress
Practice Trigonometric Form of Complex Numbers
Pro... |
# Using chain rule on a square root function
• Dec 9th 2012, 08:18 PM
Chaim
Using chain rule on a square root function
An example that my teacher did was:
y=2x(√(r2-x2)
Then the derivative would be:
y'=2x((1/2)(r2-x2)(-1/2)(-2x))+(r2-x2)(1/2)(2)
So what I understand is that he took the derivative inside, then added th... |
# Write an absolute value equation represented by the graphix
Do you think you found all of the solutions of the first equation? Got It The student provides complete and correct responses to all components of the task.
Why is it necessary to use absolute value symbols to represent the difference that is described in ... |
# GSEB Solutions Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.5
Gujarat BoardĀ GSEB Textbook Solutions Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.5 Textbook Questions and Answers.
## Gujarat Board Textbook Solutions Class 8 Maths Chapter 9 Algebraic Expressions and Identiti... |
# Difference between revisions of "2006 UNCO Math Contest II Problems/Problem 5"
## Problem
In the figure $BD$ is parallel to $AE$ and also $BF$ is parallel to $DE$. The area of the larger triangle $ACE$ is $128$. The area of the trapezoid $BDEA$ is $78$. Determine the area of triangle $ABF$.
$[asy] draw((0,0)--(1,2... |
# Ms Perea's kitchen floor is a rectangle with the dimensions 12.5 ft \times 22.5 ft. She wants to cover the floor with rectangular tiles that measure 1.5 ft \times 0.8 ft. How many tiles will she need to cover the kitchen floor?
Jan 9, 2018
It is all down to the most efficient use of tiles and utilising off cuts.
D... |
# Understanding \$250K Triple Play Chances
You may have read on the game page that the chances of winning the \$250,000 top prize on Game 1 of \$250K Triple Play are 1 in 487,635 or that you have an overall chance of 1 in 6.16 to win a prize on each ticket. But how exactly are those chances of winning a prize determin... |
183 views
In a parallelogram $\text{ABCD}$ of area $72$ sq cm, the sides $\text{CD}$ and $\text{AD}$ have lengths $9$ cm and $16$ cm, respectively. Let $\text{P}$ be a point on $\text{CD}$ such that $\text{AP}$ is perpendicular to $\text{CD}$. Then the area, in sq cm, of triangle $\text{APD}$ is
1. $18\sqrt 3$
2. $24... |
# Writing Rationals with the Fundamental Theorem of Arithmetic
The Fundamental Theorem of Arithmetic says that all integers greater than one can be written uniquely as the product of prime numbers. Another way of stating this is that, if $$P = (p_1, p_2, p_3, …)$$ is the (infinite) set of all primes, in order from lea... |
Education
# How Many Nickels Make a Dollar: A Fun Math Problem
When it comes to making money, most people know that you need to make a lot of nickels to make a dollar.
But how many exactly? That’s the question we’re going to answer in this blog post. It’s actually a lot more than you might think! Keep reading to lea... |
# What is the equation of the parabola that has a vertex at (9, -23) and passes through point (35,17) ?
##### 2 Answers
Jan 13, 2016
We can solve this using the vertex formula, $y = a {\left(x - h\right)}^{2} + k$
#### Explanation:
The standard format for a parabola is
$y = a {x}^{2} + b x + c$
But there is al... |
Question
# A train starts from rest and moves with a constant acceleration of $$2.0\ m/s^{2}$$ for half a minute. the brakes are then applied and the train comes to rest in one minute. Findthe total distance moved by the train,
Solution
## Train starts from rest, hence the initial velocity u = 0. It moves with accel... |
# How to find the perimeter of a kite with examples
By | October 21, 2022
The perimeter of a kite is the sum of the lengths of its four sides. A kite is a four-sided figure with two pairs of adjacent sides being equal. Only one diagonal line of a kite is the line of symmetry. This line of symmetry bisect its angles a... |
Enter the number to be tested and the divisor into the calculator to determine the divisibility.
## Divisibility Rules Formula
The following formula is used to calculate the divisibility of a number. If N mod D = 0, then N is divisible by DVariables:
• N is the number to be tested for divisibility D is the divisor m... |
Browse Questions
# A rod of length 12 cm moves with its ends always touching the coordinate axes. Determine the equation of the locus of a point P on the rod, which is 3 cm from the end in contact with the x-axis.
$\begin {array} {1 1} (A)\;x^2+y^2=729 & \quad (B)\;x^2=9y \\ (C)\;\large\frac{x^2}{81}+\large\frac{y^2}... |
Question
The expressions 2(x² – 4x − 21) – (x − 7) (x +77) and (x − 7) (x + k) are equivalent. – What must be the value of k?
-71
Step-by-step explanation:
The constant term of is .
The constant term of is .
So, .
the value of k must be 2.
Step-by-step explanation:
To find the value of k, we can set the two express... |
Comparison between Simple Interest and Compound Interest
Comparison between Simple Interest and Compound Interest for the same principal amount.
Interest is of two kinds – Simple Interest and Compound Interest.
In the problems of interest, if the type of interest is not mentioned, we will consider it as simple inter... |
# Rules for Formation of Roman Numerals
For beginners, Roman numerals might seem like a whole different language that has nothing to do with mathematics. However if you learn the basic Roman numerals rules, it is very easy to understand how they work and to ‘decipher’ even the largest Roman numbers. Here are the basic... |
# Orthogonal Matrices: Exploring a Special Type of Matrix
## Introduction
Matrices are fundamental mathematical objects used in various fields, including computer science and physics. They provide a concise way to represent and manipulate data. In this blog post, we will focus on a special type of matrix called an or... |
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Let $y = x^2 + ax + b$ be a parabola that cuts the coordinate axes at three distint points. Show that the circle passing through these three points also passes through (0,1).
Discussion:
Teacher: There are two alternative routes of solving this problem. One is using the general equation of a circle. Seco... |
# Class 9 RD Sharma Solutions- Chapter 18 Surface Area and Volume of a Cuboid and Cube – Exercise 18.2 | Set 1
• Last Updated : 11 Feb, 2021
### Question 1. A cuboidal water tank is 6 m long, 5 m wide, and 4.5 m deep. How many liters of water can it hold?
Solution:
Given, the length of water tank = 6 m
The breadth... |
# Discover the Essential Steps: Calculating an L-Shape’s Perimeter
Are you looking to solve the puzzle of finding the perimeter of an L shape? Look no further! In this concise guide, we will demystify the process and equip you with the tools you need to master this mathematical challenge. Whether you are a student pre... |
# Arithmetic Progressions Class 10 Extra Questions Maths Chapter 5 with Solutions Answers
Here you will find Arithmetic Progressions Class 10 Extra Questions Maths Chapter 5 with Answers Solutions, Extra Questions for Class 10 Maths are solved by experts and will guide students in the right direction.
## Extra Questi... |
# When multiplying two fractions you multiply the numerator of one by the denominator of the other?
## When multiplying two fractions you multiply the numerator of one by the denominator of the other?
A. Cross multiply fractions by multiplying the denominator of one fraction with the numerator of the other fraction a... |
Dependent and Independent Variables
Lesson
Bivariate data is the technical name for numerical data consisting of pairs of values where the question of interest is whether there is a simple relation between the numbers in each pair.
We may, for example, conduct an experiment in which an input quantity is varied and t... |
# Unit 3 Kinematics Equations
## Presentation on theme: "Unit 3 Kinematics Equations"— Presentation transcript:
Unit 3 Kinematics Equations
Objectives: Learn the 4 motion equations for 1 dimensional motion when acceleration is constant
Motion at Constant Acceleration
1. Kinematics Equation 1 Motion at Constant Accel... |
# RD Sharma Class 8 Solutions Chapter 14 Compound Interest Ex 14.4
In this chapter, we provide RD Sharma Class 8 Solutions Chapter 14 Compound Interest Ex 14.4 for English medium students, Which will very helpful for every student in their exams. Students can download the latest RD Sharma Class 8 Solutions Chapter 14 ... |
RS Aggarwal Class 6 Solutions Chapter 8 Algebraic Expressions Ex 8B
These Solutions are part of RS Aggarwal Solutions Class 6. Here we have given RS Aggarwal Solutions Class 6 Chapter 8 Algebraic Expressions Ex 8B.
Other Exercises
Question 1.
Solution:
(i) Substituting a = 2 and b = 3 in the , given expression, we g... |
+0
For a certain value of k, the system
0
645
2
+1307
For a certain value of k, the system
x + y + 3z = 10,
-4x + 2y +5z = 7,
k*x + z = 3
has no solutions. What is this value of k?
Aug 11, 2015
#1
+17747
+10
The third equation has no y-term, so let's eliminate the y-term from the combination of the first two ... |
# UNIT RATES WITH FRACTIONS
Unit Rates with Fractions :
We can use unit rates to simplify rates and ratios that appear complicated, such as those containing fractions in both the numerator and denominator.
Example :
Two pools are leaking. After 15 minutes, pool A has leaked 2/3 gallon. After 20 minutes, pool B has ... |
Algebra/Arithmetic/Numerical Axioms
Numerical Axioms
It is possible to define a regular set of numbers in a formal fashion. The set of Peano axioms define the series of numbers known as the natural numbers. They are as follows:
1. There is a whole number 0.
2. Every natural number a has a successor, denoted by a + 1... |
How to Do Long Division
Long division is one of the arithmetic basics. It is used when you need to divide multi-digit numbers. This algorithm helps to split the calculation into a few simple steps.
5-Minute Crafts would like to explain to you how to do long division with remainders and without them.
Division compone... |
You will see investment/loan problems on the ASVAB. These problems are primarily focused on simple interest rates for investments and loans, using the formula I = prt, where I is the interest, p is the principal, r is the rate of interest (in percentage), and t is the time.
The investment/loan problems you see on the ... |
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