Question

medal and fan for the answer!

Answer 1

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.

Answer 2

it needs to be in full sentences :\

Answer 3

You can use the midpoint formula twice (for lazies)

Answer 4

@SolomonZelman wait how would you use it? sorry im confused :\

Answer 5

\(\Large\color{blue}{ \Huge{(}\frac{\LARGE {x_1-x_2}}{2} , \frac{\LARGE {y_1-y_2}}{2} \Huge{)} }\)

Answer 6

Once, and then the other time. You can get 2 ways to divide it.

Answer 7

but the midpoint formula just tells you the points that are in the middle... im sorry im really confused haha

Answer 8

yes, but then you can use it again, and the middle of the half segment, would be the partition of 3:1.

Answer 9

oh! that makes sense! thank you so much @SolomonZelman

Answer 10

would the answer be (3.5, 1.5) or (3.5, 3.5) @SolomonZelman

Answer 11

My bad, I put - instead of plus in x1+x2 and y1+y2

Answer 12

I see you figured though...

Answer 13

\(\LARGE\color{blue}{ (2, −1) ~~~~~~ (4, 2) }\)

\(\LARGE\color{blue}{ \Huge{(} \frac{2+4}{2}, \frac{(-1)+2}{2} \Huge{)} }\)

Answer 14

So the middle is, ` ( 3 , 0.5 ) `

Answer 15

And then, MIDPOINT of `(2,-1) (3,0.5) ` or MIDPOINT of `(4,2) (3,0.5) `

Answer 16

(2.5 , -0.25) or (3.5 , 1.25)

Answer 17

so it would be 3.5, 1.25 as the answer? thank you so much by the way!

Answer 18

Yes, or (2.5 , -0.25)