Question
determine the coordinates of point T that divides AB into two segments in the ratio 1:3. Write your responses as decimal values (if necessary) to the hundredths place.
Answers
GPT-5 mini
I don’t see the coordinates of A and B — could you provide them?
Meanwhile here’s how to find T.
If A = (x1,y1) and B = (x2,y2) and AT:TB = 1:3 (so T is one quarter of the way from A toward B), then
T = A + (1/4)(B − A) = ((3x1 + x2)/4, (3y1 + y2)/4).
(If instead TB:AT = 1:3 — i.e. T is three quarters of the way from A to B — then
T = ((x1 + 3x2)/4, (y1 + 3y2)/4).)
Give me A and B and I’ll compute T and round to the hundredths for you.
Meanwhile here’s how to find T.
If A = (x1,y1) and B = (x2,y2) and AT:TB = 1:3 (so T is one quarter of the way from A toward B), then
T = A + (1/4)(B − A) = ((3x1 + x2)/4, (3y1 + y2)/4).
(If instead TB:AT = 1:3 — i.e. T is three quarters of the way from A to B — then
T = ((x1 + 3x2)/4, (y1 + 3y2)/4).)
Give me A and B and I’ll compute T and round to the hundredths for you.