Answer 1:
It is given that the positive 2 digit number is 'x' with tens digit 't' and units digit 'u'.
So the two digit number x is expressed as,


The two digit number 'y' is obtained by reversing the digits of x.
So, 

Now, the value of x-y is expressed as:




So,
is equivalent to (x-y).
Answer 2:
It is given that the sum of infinite geometric series with first term 'a' and common ratio r<1 = 
Since, the sum of the given infinite geometric series = 200
Therefore,
Since, r=0.15 (given)



a=170
The nth term of geometric series is given by
.
So, second term of the series =
= ar
Second term = 
= 25.5
So, the second term of the geometric series is 25.5
Step-by-step explanation:
Answer:
D. (4,3)
Step-by-step explanation:
(-3,4)
Reflection in the y-axis:
Same y, -ve x
(3,4)
Reflection in y = x
(x,y) goes to (y,x)
(3,4) goes to (4,3)
4/26 can be simplified by 2. So, this is not the answer.
8/21 cannot be simplified. So, it is one of the answers.
6/19 cannot be simplified. So, it is one of the answers.
9/10 cannot be simplified. So, it is one of the answers.
10/22 can be simplified by 2. So, this is not the answer.
So, the fractions in simplest forms are 8/21, 6/19, and 9/10.