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Mathematics 22 Online
OpenStudy (anonymous):

Guys kinda dumb in math... Practicing but need help! The endpoints of a line segment are at the coordinates (6, 3, 4) and (4, 1, 2). What is the midpoint of the segment? A) (10, 2, 2) B) (5, 1, 1) C) (2, 2, 6) D) (1, 1, 3)

OpenStudy (anonymous):

You guys will be so awesome if you can help!

jimthompson5910 (jim_thompson5910):

to find the midpoint, you just add up the corresponding coordinates then you cut each sum in half

jimthompson5910 (jim_thompson5910):

so for example, the x coordinates are: 6 and 4 add them: 6+4 = 10 cut that sum in half: 10/2 = 5 So the x coordinate of the midpoint is x = 5

jimthompson5910 (jim_thompson5910):

repeat this for the other coordinates

OpenStudy (anonymous):

Wait so which one would that be? Little confused

jimthompson5910 (jim_thompson5910):

(6, 3, 4) and (4, 1, 2) are two points the x coordinates of each point (in the same order) are: 6 and 4 agreed?

OpenStudy (anonymous):

Yes!

jimthompson5910 (jim_thompson5910):

ok just add them up, and divide by 2

jimthompson5910 (jim_thompson5910):

(x1+x2)/2 (6+4)/2 10/2 5

jimthompson5910 (jim_thompson5910):

so the midpoint will be some point where the x coordinate (of the midpoint) is x = 5

OpenStudy (anonymous):

so add 6, 3, 4) and 4 ,1 2 and then dvide it by 2?

jimthompson5910 (jim_thompson5910):

so it will look like (5, ??, ??) where you will replace the ?? with actual numbers (once you find them)

jimthompson5910 (jim_thompson5910):

you could think of it like that

OpenStudy (skullpatrol):

(x, y, z)

jimthompson5910 (jim_thompson5910):

but it's not quite the same as addition, but it's close enough

OpenStudy (anonymous):

So -5, -1, 1

jimthompson5910 (jim_thompson5910):

how did you get -5?

OpenStudy (anonymous):

Well you said 5 first then the rest and its in the choices!

jimthompson5910 (jim_thompson5910):

the y coordinates of the two points are 3 and 1 add them, then divide by 2 (y1+y2)/2 (3+1)/2 4/2 2 So the y coordinate of the midpoint is y = 2

jimthompson5910 (jim_thompson5910):

So far, we found x = 5 y = 2

OpenStudy (anonymous):

Ok.. Um i am in 6th grade and trying to learn quick but can you just tell me this answer.

jimthompson5910 (jim_thompson5910):

two problems: 1) I cannot just give out the answer 2) the correct answer isn't even one of the choices (even if I wanted to give you the answer)

jimthompson5910 (jim_thompson5910):

btw this is pretty advanced stuff for a sixth grader, I'm impressed

OpenStudy (anonymous):

but out of the choices and i meant to put for the second one (5, -1, 1)

jimthompson5910 (jim_thompson5910):

can you post a screenshot

OpenStudy (anonymous):

Yeah i am in SEM

OpenStudy (anonymous):

jimthompson5910 (jim_thompson5910):

ok can you post the actual problem please

jimthompson5910 (jim_thompson5910):

the screenshot of the actual problem

OpenStudy (anonymous):

yeah hold on!

jimthompson5910 (jim_thompson5910):

ok

OpenStudy (anonymous):

jimthompson5910 (jim_thompson5910):

ok thought so, there are negatives in here that didn't show up earlier

OpenStudy (anonymous):

Oh sorry!

jimthompson5910 (jim_thompson5910):

the x coordinates of the two points are -6 and 4 add them and divide by 2 (x1+x2)/2 (-6+4)/2 -2/2 -1

jimthompson5910 (jim_thompson5910):

that's fine, that's what screenshots are for the x coordinate of the midpoint is -1

OpenStudy (anonymous):

so its either -1, 1, 3 or -5, -1, 1

OpenStudy (anonymous):

Would it be the second one then!

jimthompson5910 (jim_thompson5910):

can't be (-5, -1, 1) since the x coordinate is NOT -1

jimthompson5910 (jim_thompson5910):

so it's gotta be (-1, 1, 3)

jimthompson5910 (jim_thompson5910):

you could go through the rest of the coordinates, but they should all work

OpenStudy (anonymous):

Oh got it!

jimthompson5910 (jim_thompson5910):

ok that's great

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