The distace between the center of dilation and point a is diven by:

The distance between the center of dilation and point a' is given by:

It can be seen that the distance from the center of dilation to the image is 1/4 times the distance from the centre of dilation to the preimage.
Therefore, the scale factor is 1/4.
Answer:
{-2, 1, 2}
Step-by-step explanation:
F(x) = x³ - x² - 4x + 4 is factorable as follows:
F(x) = x²(x - 1) - 4(x - 1). (x - 1) is a common factor. Factor it out:
F(x) = (x - 1)(x² - 4)
x² - 4 can be factored further:
F(x) = (x - 1)(x - 2)(x + 2)
The possible roots of F(x) are {-2, 1, 2}.
For this case the distance will be given by:
d ^ 2 = (12 * 1.5) ^ 2 + (8 * 1.5) ^ 2
Rewriting we have:
d ^ 2 = (18) ^ 2 + (12) ^ 2
d ^ 2 = 324 + 144
d ^ 2 = 468
d = root (468)
d = 21.63 Km
Answer:
1) She did not find the full distance each traveled in 1.5 hours.
2) She should have used 12 km for Joseph's distance and 18 km for Isabelle's distance.
Answer:
23.16 your welcome
Step-by-step explanation: