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The answer to 4B is 6 points = 32 non - overlapping regions
@zepdrix Help me man
6 is correct.
okay thank you! :D #5 and the picture is confusing me @OffnenStudieren
The circle I meant
It refers to a "4b" which you have not taken a picture of.
Yes I provided the answer to 4b
let me see one sec
at the beginning
no that is 5b. Which problem specifically do you need help with?
Do you need a picture of 4b
I need help with a little bit of 5c and 5d to help me get started on it and the circle
I'm sorry, I also don't understand. Try @zepdrix
You don't understand what
What to do.
for 5c and 5d
5a and 5b you don't know
that's no good except #6
@zepdrix & @satellite73 If you aren't busy can you help me, sorry to bother you
I am missing 1 number, because it's suppose to be 32 not 31
I'm not very good with geometric stuff. :( For 5. a) I did the same thing you did: I drew out a circle and connected all the possible chords. Are you sure it's supposed to be 32? I came up with 30. For example: See the center of our circle, the 31. It shouldn't be there. All the lines should intersect in the middle.
see I am writing the numbers on the circles when I connect the chords, so I don't forget
But you didn't draw your lines correctly. See how they're all wobbly? :) lol That tiny 31 shouldn't exist D: Hmm maybe I missed a line somewhere, I better go check.
this is too hard for me. @Julian101
I agree with zepdrix. It looks like there ought to be 30 regions instead of 32. In any case, I only could find 31 on yours.
I think there are only 31
OK, for 5 c and d, I tried this question. I think that if you just create a column for number of points on the circle, another column for number of different chords, a third column for the number of regions, and a fourth column listing the number of line intersections inside the interior of the circle, then I would try to find some pattern based on those compiled numbers. I think that should be sufficient, based on the wording of those questions.
See, something changes when you go from 5 points on the circle to 6. It goes 2, 4, 8, 16, then hits 6 points and then goes to thirty regions rather than 32 (as we would expect from the previous pattern). When there's 5 points on the perimeter of the circle, there's a region in the center, but when there's 6 points there's a point in the center. So I think that's a factor as the number of points and chords increase. You're allowed to answer them in words, so that might be an approach to take. It looks like a lot of messing around to get an algebraic solution.
5c should be a table or something and what about 5d
What should I do to 5c and the same for 5d so I know
Well I think 5d might be something along the lines of my last post. You start getting a rapid increase in the number of interior intersections once you get to 5 points on the circle (5 intersections). Then when you have 6 points, you have 15 intersections. So something clearly changes when you go from 4 points (1 intersection in the center), 5 points (5 ints.) to 6 points (15ints.) Maybe, number of regions equals chords + intersections, and add one region if the number of points is an odd number (?), as you get a central region instead of a central point.
what do you think about 5C
I think 5c could be handled sufficiently by drawing up the table I mentioned . It says "describe what you would do to further investigate the pattern in the number of regions". I think that's a reasonable approach, because you're compiling all your information in order to look for a pattern in it.
How many rows and columns?
Four columns: Number of points, Number of different chords, Number of regions, Number of interior intersections. And then everything would be read across from your first column, which would just list the values 1 through 6.
work out the first 2 for me, so I get it
OK row 1, column 1:number of points = 1, column2: number of chords= 0, column 3: number of regions = 1, column 4: number of intersections = 0 Row 2, column1: number of points= 2, column 2: number of chords = 1, column 3: number of regions = 2, column 4: number of intersections = 0 points chords regions intersections 1 0 1 0 2 1 2 0 3 3 4 0 4 6 8 1 5 10 16 5 6 15 30 13
Thank you so much, so the table pretty much explain 5c
5A. Is 30? 5B. Is No?