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

(0.75,1.5)

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

(0.6,1.2)

left parenthesis 0.6 comma 1.2 right parenthesis

(−1,−2)

left parenthesis negative 1 comma negative 2 right parenthesis

(0.2,0.2)

Answer 1

H divides AB so AH = (1/5)AB. From A(0,0) toward B(3,6):

x = 0 + (1/5)(3) = 3/5 = 0.6
y = 0 + (1/5)(6) = 6/5 = 1.2

So H = (0.6, 1.2).