Melody

921 Questions
34316 Answers

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Mathigon website

I just discovered a site called mathigon

https://mathigon.org/dashboard
read more ..

Melody Apr 2, 2022

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Reporting problems.

There are a number of people having problems at the moment.
If you lodge an error can you please give all relevant information that you can think of.
Where you are in the world - the city or the country - is often very important information. read more ..

Melody Mar 16, 2022

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How to make an empty rectangle in Latex

I just worked out how to make an empty box of various horizonal size easily in LaTex.
This is not a recommended method, but other methods that I have tried here have not worked.
This coding is really simple. Just put letters inside read more ..

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Melody Mar 15, 2022

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HAPPY ANNIVERSARY CHRIS! (CPhill)

I just realized that you became a member here exactly 8 years ago today!

It has been great to have you here all that time

off-topic

Melody Mar 13, 2022

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WELCOME BACK CPHILL !

Melody Feb 11, 2022

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Very interesting question. No high level maths required.

This question was posted a couple of days ago.
https://web2.0calc.com/questions/geometry_73561

I think it is really interesting. It looks much more difficult than it really needs to be. read more ..

Melody Feb 1, 2022

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Members have a better experience. Their questions get more attention.

Almost everyone is posting as a guest.
If you post as a member your questions will have a far greater chance of a timely and helpful response.
If you are a genuine learner and interact with us, you will become known and answerers will do read more ..

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Melody Jan 9, 2022

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HAPPY BIRTHDAY CHRIS!

Melody Dec 20, 2021

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Some guidelines for question askers.

Please note:
1) Ask only one question per post.
2) When asking a question talk about what you have tried for yourself. Then people will take you more seriously and will be more able and willing to help.
3) If you get an answer read more ..

off-topic

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Melody Nov 4, 2021

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Remeniscing - a little historical humour.

I just found this old post that some of you, who have been around for a while, might find amusing.

https://web2.0calc.com/questions/look-at-the-new-leader-board

off-topic

Melody Oct 29, 2021

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Also Jedithious could you tell me your age or give me an idea of what level you are at.
I want to pitch my answers at an appropriate level.
Are you comfortable with algebra?
Melody

MelodyDec 2, 2013

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Can you give me an example of where you think the 5 will work?

MelodyDec 2, 2013

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I deleted all the previous stuff.

I believe it will only work when the last digit is 0.
Do you want to see some logic behind it?

MelodyDec 2, 2013

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"Which integers have the following property? If the final digit is deleted, the integer is divisible by the new number?

Any integer with a 0 on the end would work.

MelodyDec 2, 2013

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Identify the solution(s) of the system of equations, if any -3x-4y=2 8y=-6x-4

These are both lines
If you try to solve them simulltaneously you will get no answer.

If you rearrange them to get the gradients you will find that they both have a gradient of 3/4
This means that they are parallel. They will never bump into each other.

When you solve 2 equations simultaneously you are finding where they are both true at the same time. This is also where they will cross over when they are graphed.
These two curves (which just happen to be lines) will never meet therefore they have no simultaneous solution.

MelodyDec 2, 2013

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this was another more succinct answer.

http://gyazo.com/0f99cac55518414ad8b93eb7d5c9b5c4

MelodyDec 2, 2013

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How about 10:16
there are of course and infinite number of answers

MelodyDec 2, 2013

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Okay, I have consulted an expert and this is my feedback.

I am going to experiment with a specific example.
g(x) = 1/x
from g(x) x cannot be 0

f(x) = 3/(x+2)
from f(x) x cannot be -2 (THIS IS NOT RELEVANT)

f(g(x))= 3/ (1/x +2)
x can't be 0
1/x can't be -2 therefore x can't be -1/2

So, x is not defined at -1/2 or 0 (but it is defined at -2)

So the restrictions are from g(x) and from f(g(x)) but not from f(x)

MelodyDec 2, 2013

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5x-2(x+1)=2-(x-5)

hint - this is a different question
3-(x-5)
=3+ -1(x-5)
=3+ -1*x + -1*-5
=3 + -x ++5
=3-x+5
=3+5-x
=8-x

-(x+8) = -x-8
-(-2+5) = +2-5
etc

MelodyDec 2, 2013

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sqrt 75 = sqrt (25*3) = sqrt 25 * sqrt3

and you can finish it.

MelodyDec 2, 2013