Answer: a. 55
Step-by-step explanation:
The formula to find the geometeric mean between two numbers a and b is given by :-
The given numbers are : 275 and 11
The geometric mean of 275 and 11 is given by :-
Hence, the geometric mean of 275 and 11 is 55.
So , the correct option is a. 55 .
The answer for the question is 20.25
Answer:
The two lines are not parallel.
Step-by-step explanation:
Every linear equation follows this structure:
y = mx + b
y is the y value
x is the x value
m is the gradient/slope of the line
b (or sometimes c) is the y-intercept of the line
Firstly, we have to get the y term on one side by itself.
6x + y = -1
-6x -6x
y = -6x - 1
-2x -5y = 1
+2x +2x
-5y = 2x + 1
Secondly, we make it so the y term is just the y value.
The first equation is already like this, so we don't need to do anything to that.
-5y = 2x + 1
÷ -5 ÷ -5
y = (2x + 1) / -5
This can be expanded and simplified to:
y = -2/5x - 1/5
Thirdly, we have to compare the slopes and y-intercepts.
y = -6x - 1
y = 2/5x - 1/5
If the slopes are the same and the y-intercepts are different, they are parallel. However, the slopes are different, therefore they are not parallel.
Let Benny's salary = $ K
But kenny earns 142% of Benny's Salary
So, Kenny's salary = 142%of K
Kenny's salary =K 
Kenny's salary = 1.42K
Kenny's income exceeds Benny's by =1.42K - K =$0.42 K
% by which Kenny's salary exceeds by Benny's =
% by which Kenny's salary exceeds by Benny's = 42%
In order to make b the subject of this equation, we must isolate it on the left side. We can do this by following these steps:
Subtract b from both sides
Subtract P from both sides
Now, we have isolated b, but it is negative. We can fix this by multiplying both sides of the equation by -1.
Which is your final answer.
.
Hope that helped! =)
