At noon, ship a is 100km
100
km
west of ship b. ship a is sailing south at 45km/h
45
km/h
and ship b is sailing north at 25km/h.
25
km/h
.
how fast is the distance between the ships changing at 4: 00pm.

the formula of a midpoint between a abd b:

answer: the correct option is d.

explanation:

it is given that the triangle j'k'l' shown on the grid below is a dilation of triangle jkl using the origin as the center of dilation.

from the given graph it is noticed that k(4,8) and k'(2,4). let origin is defined by o and scale factor is defined by k, then

    (1)

distance formula,

put these values in equation (1).

therefore scale factor is     and option d is correct.