The closure property under subtraction is shown when the correct
result from the subtraction of polynomials is also a polynomial.
Response:
- The option that shows that polynomials are closed under subtraction is; <u>3·x² - 2·x + 5 will be a polynomial</u>.
<h3>How is the option that shows the closure property found?</h3>
The closure property under subtraction for the polynomials is condition
in which the result of the difference between two polynomials is also a
polynomial.
The given polynomials being subtracted is presented as follows;
(5·x² + 3·x + 4) - (2·x² + 5·x - 1)
Which gives;
(5·x² + 3·x + 4) - (2·x² + 5·x - 1) = 3·x² - 2·x + 5
Given that the result of the subtraction, 3·x² - 2·x + 5, is also a
polynomial, we have, that the option that shows that polynomials are
closed under subtraction is; <u>3·x² - 2·x + 5 will (always) be a polynomial</u>.
Learn more about closure property here:
brainly.com/question/4334406
Answer:
(a) 12.96 ft²
(b) 21.5 in²
Step-by-step explanation:
(a) For the first diagram
Area of the shaded region (A) = Area of Tripezium- area of circle
A = [1/2(a+b)h]-[πr²]............... Equation 1
Where a and b are the parallel side of the tripezium respectively, h = height of the tripezium, r = radius of the circle.
From the diagram,
Given: a = 15 ft, b = 6 ft, h = 12 ft, r = h/2 = 12/2 = 6 ft.
Constant: π = 3.14
Substitute these values into equation 1
A = [12(15+6)/2]-(3.14×6²)
A = 126-113.04
A = 12.96 ft²
(b) For the second diagram,
Area of the shaded region (A') = Area of square- area of circle
A' = (L²)-(πr²)............. Equation 2
Where L = lenght of one side of the square, r = radius of the circle
From the diagram,
Given: L = 2r = (2×5) = 10 in, r = 5 in
Substitute these values into equation 2
A' = (10²)-(3.14×5²)
A' = 100-78.5
A = 21.5 in²
Answer:
25.15
Step-by-step explanation:
Answer:
commutative property
Explanation:
This is known as the commutative property of addition (and multiplication).
An easy way to remember the property is that the two elements commute, or exchange places, or that one element commutes from one side of the operation to the other, like a commuter (passenger) on a commuter train.
a + b = b + a
