The blueprints for a new house are scaled so that 1/4 inches equals 1 foot. the blueprint is the preimage and the house is the dilated image. the blueprints are plotted on a coordinates plane. what is the scale factor in terms of inches to inches?

The answer to this question is 48. The work is shown below:

1 ft = 12 in     1/4 in on blueprints = 12 in

12 x 4 = 48

answer:

c) the x-coordinate of the center of the circle increases by 3

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb