Answer:
x=7
Step-by-step explanation:
−9(x + 6) + 60 = 13 − 10x
Distribute
−9x -54 + 60 = 13 − 10x
Combine like terms
-9x +6 = 13 -10x
Add 10x to each side
-9x+10x +6 = 13-10x+10x
x +6 = 13
Subtract 6 from each side
x+6-6=13-6
x = 7
No solution since both variables cancel
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:

Step-by-sep explanation:
Given:
Diameter of circle = 20 units
Center of circle = (-1, 7)
Standard form of the equation of a circle is expressed in the center-radius form as:
,
Where,
h = -1
k = 7
r = ½ of diameter = ½(20) = 10 units
Plug in the values into the equation


