A point Q on a segment with endpoints A(2, −1) and C(4, 2) partitions the segment in a 3:1 ratio. Find Q. You must show all work to receive credit.

- anonymous

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- schrodinger

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- anonymous

@Peaches15

- anonymous

@Vocaloid

- anonymous

@Peaches15

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- anonymous

@lucaz can u help me

- anonymous

ill give medal fot answer

- lucaz

https://cobbk12.blackboard.com/bbcswebdav/pid-946980-dt-content-rid-3326366_4/institution/eHigh%20School/Courses/CCVA%20CCGPS%20Coordinate%20Algebra/Curriculum/Unit%206/U6_PartitionLineSegmentAreaPerimeter/U6_PartitionLineSegmentAreaPerimeter.html

- lucaz

take a look

- anonymous

i still need help

- jdoe0001

hmmm so... the point Q partitions the segment AC in a 3:1 ratio
hmm what does the 3:1 ratio mean?

- jdoe0001

|dw:1439509455735:dw|

- anonymous

in the middle of a and c

- jdoe0001

hmm what does 3:1 mean?

- anonymous

i think 3/4

- jdoe0001

hmm what do you mean 3/4?

- anonymous

tbh idkwat 3:1 mean

- anonymous

do u know

- anonymous

@LynFran

- anonymous

- anonymous

can you help me with this ^^^^^^

- jdoe0001

well hmmm
if you have 1 tomato, and you sister has 2 tomatoes
and for every tomato I give you, I give your sister 2 tomatoes
so you have 2, she gets 4
you have 3, she gets 6
you have 4, she gets 8
and so on
so... what do you think is the "ratio" of her tomatoes to yours?

- anonymous

hers 2:1

- anonymous

@jdoe0001

- jdoe0001

yeap.... 2:1 two to 1, for every one for you, she gets 2
thus
3:1 means, for every 3 for one side, the other side gets 1
so, there are really 4 sides then
and point Q is closer to one of the endpoints by 1/4 and 3/4 away from the other

- anonymous

ookay is that the answer

- jdoe0001

so that means the segment AC gets split in 4 parts then, to get a 3:1 ratio
now is it from A to C or C to A
well, judging from the wording
I'd think is from A to C
so the segment AC gets partition in 4 parts, and from A to C is on a 3:1 ratio

- jdoe0001

|dw:1439510115855:dw| notice, 4 parts
AQ takes 3
QC takes 1
3 to 1, from A to C
or 3:1 ratio

- jdoe0001

|dw:1439510186061:dw| so there's where Q is at
now... what's that point
well....

- anonymous

so what the answer @jdoe0001

- jdoe0001

hmm nope

- anonymous

its 5,3

- jdoe0001

|dw:1439510294580:dw| so, keeping that in mind
hmm 5,3? how did you get it anyway?

- anonymous

i saw C was 4,2 so i thought 5,3

- jdoe0001

hmm well... keeping the above in mind
gimme a sec

- anonymous

ok

- anonymous

are u trying solve it

- jdoe0001

actually, should be 2,-1|dw:1439510546667:dw|
yes, gimme one sec

- jdoe0001

hmmm hold the mayo.. for a sec.. I think I got the points... backwards

- jdoe0001

shoot

- anonymous

3:1 means 3/4 and 1/4 of the total length. To go 3/4 from A to C: find the difference in x and go 3/4 toward C (3/4)(4-2) = 1.5, so use x'=2+1.5 = 3.5 find the difference in y and go 3/4 toward C. you do this one. y' = ??? point will then be (x', y')

- anonymous

ok

- jdoe0001

|dw:1439510738835:dw| anyhow, gimme one sec

- anonymous

what the answer

- anonymous

i only have 2 min to turn it in

- jdoe0001

hmmm is this a test..... I assume you've read the CoC

- jdoe0001

if not, you may want to do so

- anonymous

no it homework

- anonymous

but i have to turn it in

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