Answer:
(x +4)^2 -45
Step-by-step explanation:
The square of a binomial has the form ...
(x +a)^2 = x^2 +2ax +a^2
That is, the constant term (a^2) is the square of half the coefficient of the linear term: (2a/2)^2 = a^2.
To "complete the square", you add 0 in the form of the desired constant added to its opposite. Here, we want the constant for the square to be (8/2)^2 = 16. So, we can add 0 = 16 -16 to the expression:
x^2 +8x +16 -29 -16
(x^2 +8x +16) -45 . . . . group the terms that make the square
(x +4)^2 -45 . . . . rewritten after completing the square
Perimeter = sum of all sides
32 = 2(x+2) + 2(7)
32 = 2x+4 + 14
32 = 2x+18
14 = 2x
/2 /2
7 = x
(10n-5)/(5)= 2n-1
just divide
10/5 = 2 and -5/5 =-1
and you get the answer
2n-1= 2n-1
Answer:
N = 10
Step-by-step explanation:
Normally the coordinate system goes:
x axis (horizontal)
y axis (vertical)
Here, we have:
Horizontal axis as "M", and
Vertical axis as "N"
We want to know what N will be when M equals 50.
So, we look at the x-axis and go to M equals 50.
Then we move up until the "trend line". The intersection.
If we move directly left to vertical axis (N variable), we see that it is at the point:
N = 10
So,
When M = 50, N = 10
