Response:
first option
Detailed explanation:
The equation expressing a proportional relationship is
y = kx ← with k as the proportional constant
Here k takes the value of 0.7, hence
y = 0.7x ← represents the required equation
Given
= 
(cross-multiply)
10y = 7x (dividing both sides by 10)
y = x = 0.7 x ← emerges as the needed equation
Answer: 6000 steps Step-by-step explanation: 1/15 +1/10+1/2=2/30+3/30+15/30=20/30=2/3. Therefore, 2/3 equals 12000 steps, meaning 1/3 is 6000 steps. Overall, she should tally 18000 steps, and she has recorded 12000 steps, hence 18000-12000=6000 steps.
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>
