Question

Point upper A has coordinates left parenthesis 0 comma 0 right parenthesis. Point upper B has coordinates left parenthesis 3 comma 6 right parenthesis.


Find the coordinates of point H
on AB¯¯¯¯¯¯¯¯
such that the ratio of AH
to HB
is 1:4.

(1 point)
Responses

(−1,−2)

left parenthesis negative 1 comma negative 2 right parenthesis

(0.75,1.5)

left parenthesis zero point seven five comma 1 point five right parenthesis

(0.2,0.2)

left parenthesis 0.2 comma 0.2 right parenthesis

(0.6,1.2)

Answer 1

A to B vector is (3,6). AH is 1/5 of AB (since AH:HB = 1:4), so H = A + (1/5)(3,6) = (0 + 3/5, 0 + 6/5) = (0.6, 1.2).

Answer: (0.6, 1.2)