A dilation represents a transformation

, centered at point O with a scale factor of k, which cannot be zero. This transformation keeps O fixed while transforming any other point P into its image P'. Points O, P, and P' are collinear.
In a dilation of

, the scale factor

maps the original figure to its transformed image in such a way that the distances from O to points of the image are half the distances from O to the original figure. Consequently, the image's size is also half that of the original figure.
Thus, <span>If

represents the dilation of △ABC, then the properties of the image △A'B'C'</span> are:
<span>AB is parallel to A'B'.

The distance from A' to the origin is half that from A to the origin.</span>
The cabinet appointments can occur in 121,080,960 different configurations. This is a permutations problem since the order of selection matters; swapping candidates results in a new arrangement. This leads us to utilize the permutation formula. Given there are 14 viable candidates for 8 spots, we need to compute the permutations of 8 from a set of 14, concluding that the cabinet can indeed be arranged in 121,080,960 distinct ways.
s(x)=1.03x−1
so be sure to place parentheses around (x-1)
This indicates that her investment is increasing by 3% each time period as defined by the bank (e.g., monthly, annually...).
They are parallel due to their identical slopes.
The student ought to fix the vehicle, as that would be more economical.