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anonymous
 2 years ago
What's a formula to uncover a way to divide a line segment into three equal parts. What would the formula look like?
anonymous
 2 years ago
What's a formula to uncover a way to divide a line segment into three equal parts. What would the formula look like?

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anonymous
 2 years ago
Best ResponseYou've already chosen the best response.0@Luigi0210 lol sorry to bother you! /.\

anonymous
 2 years ago
Best ResponseYou've already chosen the best response.0oh its fine I can try asking someone else:)

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1do you mean find the length of each piece? or actually trisect the segment through a geometric construction?

anonymous
 2 years ago
Best ResponseYou've already chosen the best response.0I think to find the length of each piece. The exact questions says: Now that you know how to find the midpoint from two endpoints, tweak your understanding of the formula to uncover a way to divide a line segment in to three equal parts. What would the formula look like?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1One way to do it is to divide the horizontal component of the length by 3 this will give you how far to space the points out in a horizontal sense you must do the same for the vertical component as well

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1so say you had this segment dw:1378786046754:dw

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1draw in the horizontal and vertical components dw:1378786083004:dw

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1then cut those lengths into 3 congruent pieces dw:1378786121773:dw

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1then use these cuts to figure out where the 1/3 and 2/3 markers go on the original line segment dw:1378786176000:dw

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1378786217033:dw

anonymous
 2 years ago
Best ResponseYou've already chosen the best response.0yeah, i get what your saying, but there isn't any specific formula where you have to plug in the numbers?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1well this distance here dw:1378786360035:dw is the difference in the x coordinates

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1this distance is the difference in the y coordinates dw:1378786383951:dw

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1so you're subtracting the coordinates, then dividing by 3 to get those markers on the horizontal/vertical components and you're using those markers to get the 1/3 and 2/3 markers

anonymous
 2 years ago
Best ResponseYou've already chosen the best response.0but the question is asking me for a formula?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1I know, I'm trying to get you to think of what that formula would be based on what I'm giving you

anonymous
 2 years ago
Best ResponseYou've already chosen the best response.0how about a+b+c=? divide by 3

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1remember you're taking the differences in the corresponding coordinates, then dividing by 3

anonymous
 2 years ago
Best ResponseYou've already chosen the best response.0oh so then instead of adding them, im subtracting them?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1let m = x2  x1 this is the horizontal component length and let n = y2  y1 this is the vertical component length

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1cut these distances into 3rds: m > m/3 n > n/3 so if you have the segment with the endpoints (x1,y1) and (x2,y2), then you're adding on m/3 to the coordinates to get these points 1/3 marker: (x1 + 1*m/3, y1 + 1*n/3) 2/3 marker: (x1 + 2*m/3, y1 + 2*n/3) you could avoid using m and n and just use the distances above, but that notation gets even uglier

anonymous
 2 years ago
Best ResponseYou've already chosen the best response.0yeah, this looks really complicated lol:p

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1it's not too bad once you get used to it

anonymous
 2 years ago
Best ResponseYou've already chosen the best response.0thanks for helping me tough. i hope the teacher goes over this tommorow because right now i just want to know out!

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1do you see how I defined m and n?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1so if you cut m into 3 then you basically get this distance here dw:1378787464289:dw

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1and if you divide n by 3, you get this length here dw:1378787503944:dw

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1with me so far?

anonymous
 2 years ago
Best ResponseYou've already chosen the best response.0yes, with you so far:)

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1so that's why if you start with (x1,y1) dw:1378787643610:dw

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1and you move m/3 units along the x axis and n/3 units along the y axis, then you'll land at the 1/3 marker dw:1378787687368:dw

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1that explains why the coordinate of the 1/3 marker is (x1 + m/3, y1 + n/3) and you can write it as (x1 + 1*m/3, y1 + 1*n/3)

anonymous
 2 years ago
Best ResponseYou've already chosen the best response.0thank you so much i appreciate it:)

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1you're welcome, the 2/3 mark is found in much the same way, you add on another m/3 to the x coordinate and another n/3 to the y coordinate to get 2/3 marker: (x1 + m/3+m/3, y1 + n/3+n/3) which turns into 2/3 marker: (x1 + 2*m/3, y1 + 2*n/3)

dan815
 2 years ago
Best ResponseYou've already chosen the best response.0jims way is the nicest way though
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