the solution is here,
the coordinate of centre of circle A is (3,2)
and the coordinate of centre of circle B is (3,0).
so the translation point from A to B is (3-0,0-2)=(3,-2).
Now the translation rule is given by (x+h,y+k)
where h is the tranalation anlong the x-axis and k is the translation along the y-axis.
For this problem, translation ruleis (x+3,y-2).
Then, radius of circle A(r1)=2 units
radius of circle B (r2)= 3 units
as the circle A is translated to B, the scale factor is
r2/r1=3/2=1.5
In conclusion, the translation rule for given circles is (x+3,y-2) and its scale factor is 1.5
21 and 1 because both numbers are odd
Answer: 2405970 ways
Step-by-step explanation:
When the order of selecting r individuals out of n individual , we use permutations.
The number of permutations of r things taking out of n things is given by :-

Given : There are 135 people and three door prizes .
i.e. n= 135 , r= 3
Then, the total number of ways = 

Hence, there are 2405970 ways to distribute door prizes of $7,500, $750 and $75 .
Answer:
A. strategic analysis - guiding principles - strategic objectives - flow-down objectives.
Step-by-step explanation:
Strategic planning is a process that helps organisations to better implement their strategic plans.
Strategic analysis involves internal and external analysis of an organisation's environment to identify it's strengths, weaknesses, opportunities and threats.
Guiding principles guide an organization throughout all circumstances, they ensure the survival of an organisation's long term values irrespective of changes in its goals, strategies or type of work.
Strategic objectives are the critical goals an organisation is trying to achieve over a period of time. They are a realization of goals that translates to more specific plans and projects.
Flow-down objectives ensure that the appropriate goals for an organisation are established.
Answer: $5645.85
Step-by-step explanation: a loan fee of $54.15 was deducted