Answer:
Step-by-step explanation:
To simplify recall exponent rules:
1. An exponent is only a short cut for multiplication. It simplifies how we write the expression.
2. When we multiply terms with the same bases, we add exponents.
3. When we divide terms with the same bases, we subtract exponents.
4. When we have a base to the exponent of 0, it is 1.
5. A negative exponent creates a fraction.
6. When we raise an exponent to an exponent, we multiply exponents.
7. When we have exponents with parenthesis, we apply it to everything in the parenthesis.
We will use these rules to simplify.
Use rule #3 to simplify inside the parenthesis first.
Now simplify the exponent of 4 using rule 6.
Answer is x = 4
Explanation :-
As B is midpoint of SR :- SB = BR and if. SR = 6x then SB = 3x
AC parallel SR ( MID POINT THEOREM )
Hence AC parallel SB
Similarly , AB parallel CS (MID POINT THEOREM)
So ABCS is a parallelogram
And we know that in parallelogram opposite sides are equal so AC = SB
So now we have AC = 5x - 8 and SB = 3x
So, 5x - 8 = 3x
5x - 3x = 8
2x = 8
x = 4
Side GF^2 = 144 -100
Side GF^2 = 44
Side GF = 2*sqrt(11)
Side GF = 6.6332
Perimeter = 6.6 + 10 + 12
Perimeter = 28.6
Answer is 29 units
Use long division.
y - 1
-------------------------------
y³+1 | y⁴ - y³ + 2y² + y - 1
y⁴ + y
-------------------------------
- y³ + 2y² - 1
- y³ - 1
---------------------------
2y²
Answer: y - 1 + 2y2 ÷ y³+1
Note:
The correct answer should be written with parenthesis, as y - 1 + y²/(y³+1) in order to avoid ambiguity.