Zohar is using scissors to cut a rectangle with a length of 5x – 2 and a width of 3x + 1 out of a larger piece of paper. Which e
2 answers:
Answer:
at
Step-by-step explanation:
Given: The length of the rectangle is and width of the rectangle is
To find: An expression that can be used to find the perimeter of the rectangle, and the perimeter when x is 4.
Solution:
Here, Length is given as
width of the rectangle is
Let P represents the perimeter of the rectangle
We know that perimeter of a rectangle is
So, we have
Therefore, the expression to find the perimeter is
Now, we need to find the perimeter at
On substituting in
we have,
Hence, the perimeter is 62 units when x is 4.
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Given:
The expression is:
It leaves the same remainder when divided by x -2 or by x+1.
To prove:
Solution:
Remainder theorem: If a polynomial P(x) is divided by (x-c), thent he remainder is P(c).
Let the given polynomial is:
It leaves the same remainder when divided by x -2 or by x+1. By using remainder theorem, we can say that
...(i)
Substituting in the given polynomial.
Substituting in the given polynomial.
Now, substitute the values of P(2) and P(-1) in (i), we get
Divide both sides by 3.
Hence proved.