The point R has coordinates (-5,-5) and the image point R' has coordinates (2,-7).
If
- -5+a=2, then a=2-(-5)=2+5=7;
- -5+b=-7, then b=-7-(-5)=-7+5=-2.
Thus, the translation rule is
(x,y)→(x+7,y-2)
or 
If point U has coordinates (-5,1), then its image U' has coordinates (-5+7,1-2) that is (2,-1).
Answer: correct choice is B
Consider a geometric sequence

let

and the common ratio be r, then the sequence is constructed as follows:

we can observe that each term of the sequence is its previous term * r.
In the given sequence, to find the common ratio we divide 6,561 by −2,187 and get -3. This means that

Let the first term

,
then the eighth term is

Answer: -3
The probability of drawing a red face card from a deck of cards is 3/26
Explanation:
In a deck of cards, there are 6 red-faced cards.
Probability = No. of favourable events / Total no. of events
So, the probability of drawing a red-faced card is 6 out of 52 cards.
Thus, the probability of drawing a red face card from a deck of cards is 6/52 = 3/26.
Remember if straight line total is 180 degree
They make 21 machine parts each hour because 756/36=21