A similarity transformation is one or more rigid transformations (reflection, rotation, translation) followed by a dilation. When a figure is transformed by a similarity transformation, an image is created that is similar to the original figure. In other words, two figures are similar if a similarity transformation will carry the first figure to the second figure.
Answer:
The coordinate of the rest stop is: 
The distance between the hotel and the stadium is 32 miles
Step-by-step explanation:
Given
--- Team hotel
--- Stadium
Solving (a): The coordinates of the rest stop
The rest stop is at half way;
So, the coordinate is:

This gives:


Open bracket

Solving (b): Distance between the hotel and the stadium
We have:
--- Team hotel
--- Stadium
The distance (d) is:

So, we have:





From the question, we have:

So:


Answer:
k = -3
Step-by-step explanation:
1) Simplify
5+20k+7k=28k+8
2) Combine the k's
5+27k=28k+8
3) Subtract 27k on both sides
5=k+8
4) Subtract 8 on both sides
-3=k or k= -3
The vertical number line in a Cartesian coordinate system is called the vertical axis.
Good luck :)