George has a triangle-shaped garden in his backyard. he drew a model of this garden on a coordinate grid with vertices a(4, 2), b(2, 4), and c(6, 4). he wants to create another, similar-shaped garden, a′b′c′, by dilating triangle abc by a scale factor of 0.5. what are the coordinates of triangle a′b′c′?
a.
a′(2, 2), b′(1, 2), c′(3, 2)
b.
a′(2, 1), b′(1, 2), c′(3, 2)
c.
a′(8, 4), b′(4, 8), c′(12, 8)
d.
a′(2, 1), b′(1, 2), c′(6, 4)

Is there a direction u in which the rate of change of f(x,y)equals=x squared minus 3 xy plus 4 y squaredx2−3xy+4y2 at p(1,2) equals 14? give reasons for your answer. choose the correct answer below. a. no. the given rate of change is smaller than the minimum rate of change. b. no. the given rate of change is larger than the maximum rate of change. c. yes. the given rate of change is larger than the minimum rate of change and smaller than the maximum rate of change.