Random

[Boots]

I was bored so I did some random maths questions from this book but I wasnt able to solve this one:

John drew a straight line across a square piece of paper to divide it into 2 regions. He drew another straight line which divided it into a maximum of 4 regions.
What is the minimum number of straight lines he can draw to have at least 11 regions on a new piece of paper?
A)3 B)4 C)5 D)6

Can someone please show me how to do this. Thanks. The correct answer is the 5th letter of this post.

[the.watchman]

That'd be the fifth

It would seem that the pattern is as follows:

No. of lines:      0      1      2      3      4  ...
No. of regions:  1      2      4      7      11 ...

EDIT: This is a quadratic function

Let

Then, after subbing (0,1), (1,2) & (2,4), and solving,

The equation is

[Boots]

Thanks, but that is not the answer...i never thought of it as a quadratic equation

[the.watchman]

I wrote the answer in the table: 4 lines for 11 regions

(the quadratic bit was for a little bit of fun )

[Boots]

Lol. Do you know how to do this problem visually? Like to use the lines the cut the square. If so, can you use paint and attach here.

[Boots]

when you said 'that'd be the fifth' i thought u meant 5, but then i realised my error. srry

[the.watchman]

I'm a shocking drawer, maybe if I explain it, it will be better

Basically each line that you draw HAS to cross all of the lines drawn previously to obtain the maximum number of regions, eg. the fourth line must cross the three drawn before it. This allows you to see the maximum regions, and if you put them into a table, the pattern is obvious

[Boots]

I'm a shocking drawer, maybe if I explain it, it will be better

Basically each line that you draw HAS to cross all of the lines drawn previously to obtain the maximum number of regions, eg. the fourth line must cross the three drawn before it. This allows you to see the maximum regions, and if you put them into a table, the pattern is obvious

Could you use paint to do it? pleasssse

[the.watchman]

Ok, soz about the messiness

Then refer to the table I made earlier

[Boots]

God bless you watchman

[the.watchman]

God bless you watchman

Thank you, I with that were the case
In yesterday's SAC, my nose started spontaneously dripping blood
Rather traumatic for the first SAC of the year

[m@tty]

God bless you watchman

Thank you, I with that were the case
In yesterday's SAC, my nose started spontaneously dripping blood
Rather traumatic for the first SAC of the year

It's a sign... .

That he's going to kill Methods?

[Blakhitman]

lmao m@tty

[stonecold]

God bless you watchman

Thank you, I with that were the case
In yesterday's SAC, my nose started spontaneously dripping blood
Rather traumatic for the first SAC of the year

It's a sign... .

That he's going to kill Methods?

gold!

[the.watchman]

God bless you watchman

Thank you, I with that were the case
In yesterday's SAC, my nose started spontaneously dripping blood
Rather traumatic for the first SAC of the year

It's a sign... .

That he's going to kill Methods?

gold!

LOL nah if i get my way, i'll beat the pulp out of it, and make it output a 50