A rectangle has sides measuring (4x + 5) units and (3x + 10) units.

Part A: What is the expression that represents the area of the rectangle? Show your work.

Part B: What are the degree and classification of the expression obtained in Part A?

Part C: How does Part A demonstrate the closure property for polynomials?

The lengths of two sides of a triangle are shown

Side 1: 3x2 - 4x - 1

Side 2: 4x - x7 + 5

The perimeter of the triangle is 5x3 - 2x2 + 3x - 8.

Part A: What is the total length of the two sides, 1 and 2, of the triangle? Show your work.

Part B: What is the length of the third side of the triangle? Show your work.

Part C: Do the answers for Part A and Part B show that the polynomials are closed under addition and subtraction?

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The lengths of the two sides of a triangle are shown

Slide 1: 3x^2 -4x -1

Slide 2: 4x - x^2 + 5

Part A: What is the length of two sides, 1 and 2, of the triangle? Show your Work

PART A :

AREA OF RECTANGLE = LENGTH × BREADTH

A = (4x + 5) (3x + 10)

PART B: The above is a trinomial with the second degree. Trinomial because it has 3 terms and second degreen because the variable(x) is squared.

PART C : Closure under addition and multiplication. Look at the signs.

a)

And replacing we got:

And simplifying we got:

b) For this case since the coeficient for the higher degree is 2 then the polynomial is of second degree.

c) We need to remember that the closed property for polynomials tell to us that if we apply any operation between two polynomials we need to obtain and other polynomial. For this special case the property is the sum and after multiply we have another polynomial with a higher degree and then the closed property is satisfied.

Step-by-step explanation:

We know a  rectangle has sides measuring (4x + 5) units and (3x + 10) units

Part a

For this case we can find the area like this:

And replacing we got:

And simplifying we got:

Part b

For this case since the coeficient for the higher degree is 2 then the polynomial is of second degree.

Part c

We need to remember that the closed property for polynomials tell to us that if we apply any operation between two polynomials we need to obtain and other polynomial. For this special case the property is the sum and after multiply we have another polynomial with a higher degree and then the closed property is satisfied.

a)

And replacing we got:

And simplifying we got:

b) For this case since the coeficient for the higher degree is 2 then the polynomial is of second degree.

c) We need to remember that the closed property for polynomials tell to us that if we apply any operation between two polynomials we need to obtain and other polynomial. For this special case the property is the sum and after multiply we have another polynomial with a higher degree and then the closed property is satisfied.

Step-by-step explanation:

We know a  rectangle has sides measuring (4x + 5) units and (3x + 10) units

Part a

For this case we can find the area like this:

And replacing we got:

And simplifying we got:

Part b

For this case since the coeficient for the higher degree is 2 then the polynomial is of second degree.

Part c

We need to remember that the closed property for polynomials tell to us that if we apply any operation between two polynomials we need to obtain and other polynomial. For this special case the property is the sum and after multiply we have another polynomial with a higher degree and then the closed property is satisfied.

Part B the degree of the expression is the highest power which is in 12x^2

so its degree 2

5 years ago

So that answer is for part a?

12x^2+55x+50?

Step-by-step explanation:

The answer is in the image 

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

The answer is in the image 

The answer is in the image