Answer:
The difference of two numbers using identity 
is 4.
Step-by-step explanation:
Given: The sum of the numbers is 12 and the difference of the squares of the numbers is 48.
To find the difference of two numbers using identity
Let the two numbers be a and b, then
Given that the sum of the numbers is 12
that is a + b = 12 .........(1)
Also, given the difference of the squares of the numbers is 48.
that is 
..........(2)
Using given identity
We have 
Substitute the known values, we have,
Divide both side 12 , we have,
Thus, the difference of two numbers using identity is 4.
Answer:
I just took the test and the correct answer is -6 is not in the domain of f g
Step-by-step explanation:
Okay so for the first one, letter A, it is a pentagon because it has 5 sides. It doesn't need to be all equal sides because it's not a equilateral pentagon.
For letter B, it does not because that shape does not have all equal sides (If it does then it will have the line marks.
For letter C, it is not a equilateral pentagon with at least one right angle because it isn't even a equilateral pentagon in the first place and a right angle is 90 degrees. I hope this helps!
Answer:
f(8) = 21
Step-by-step explanation:
First, identify the equation of the line using the form: f(x) =mx + c, where m is the gradient and c is the y-intercept (the constant)
To find gradient, use the rise over run formula: (y2 - y1)/(x2 - x1)
You can use any points but I am going to use (2,3) and (3,6)
(6 - 3)/(3 - 2)
3/1 = 3 (gradient of the graph is 3)
Hence the equation is simplified to: f(x) = 3x + c
Now we need to find the value for c. To do this, you sub in any point, and I am going to use (3,6)
6 = 3*(3) + c (rearrange it to make c on its own)
6 - 9 = c
c = -3
Hence the equation of the line is: f(x) = 3x - 3
So we are trying to figure out what f(8) equals. That means we sub in the value 8 where x is.
3*(8) - 3 = 21
f(8) = 21
