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Free_Kalibri [48]
3 years ago
13

A rectangle has sides measuring (2x + 7) units and (5x + 9) units. Part A: What is the expression that represents the area of th

e rectangle? Show your work. (4 points) Part B: What are the degree and classification of the expression obtained in Part A? (3 points) Part C: How does Part A demonstrate the closure property for polynomials? (3 points)
Mathematics
1 answer:
andrey2020 [161]3 years ago
3 0

Answer:

Part A:  

(2x+7)(5x+9)

=(2x+7)(5x+9)

=(2x)(5x)+(2x)(9)+(7)(5x)+(7)(9)

=10x2+18x+35x+63

=10x2+53x+63

A)

The formula for determining the area of a rectangle is given as

Area = length × width

Given that the length and width are (2x + 6) units and (5x + 3) units, the expression for the area is

(2x + 6)(5x + 3) = 10x² + 6x + 30x + 18

Area = 10x² + 36x + 18

B)

The degree is 2 because the highest power of the terms is 2. It is classified as a trinomial because it has 3 terms.

C) it is closed under multiplication. the exponents in the polynomials are whole numbers(2 and 1). The whole numbers are closed under addition, which means that the new exponents formed are also whole numbers. The exponents were whole numbers before multiplication and doesn't change after multiplication.

Step-by-step explanation:

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What is 2log4 x + 6 log4 y
Ivanshal [37]
= log4 x^2 + log4 y^6

= log4 x^2y^6
6 0
3 years ago
Is x a solution to 80<-9x+8
saveliy_v [14]

Answers: x

1. Switch sides

-9x+8>80

2. Subtract by 8 from both sides of equation.

-9x+8-8>80-8

3. Simplify.

-9x>72

4. Multiply by -1 from both sides of equation. (it's should be the reverse inequality).

(-9x)(-1)

5. Simplify.

9x

6. Then you had to divide by 9 from both sides of equation.

\frac{9x}{9}< \frac{-72}{9}

7. Simplify.

\frac{9x}{9}=x

8. Divide by the numbers.

\frac{9}{9}=1

=x

\frac{-72}{9}=-8

9. Divide by the numbers.

\frac{72}{9}=8

=-8

x

____________________________________________________________

Hope this helps!

Thank you for posting your question at here on brainly.

Have a great day!

________________________________________________________

3 0
3 years ago
In the equation y = kx, what does the variable k represent?
anyanavicka [17]

Answer:

I think it B but I really don't know cause need like an example

8 0
2 years ago
Kbhhkb,hbj,bhjbj,bj,bh
trasher [3.6K]

Answer:

ahahhajajsiajaklaoaoa

4 0
3 years ago
Pedro is building a playground in the shape of a right triangle he wants to know the area of the playground to help him decide h
shusha [124]

Answer:

Amount of sand=Area of triangle(ABC)=1/2*AB*BC

Dimension of rectangle as  length=BC and breadth=AB

Step-by-step explanation:

Given:

Pedro building a playground in shape of right angled triangle.

To Find:

How much sand he need to buy

And if playground changed to rectangle what will be the dimensions.

Solution:

<em>Consider a ΔABC be the play ground vertex of playground,</em>

<em>And AB and BC be the sides making right angle.</em>

The sand required to fill ground will be the amount of are covered by the ABC triangle.

So,

Area Of triangle(ABC)=1/2* base* height

Here base will be BC and height =AB

Therefore Area of Triangle(ABC)=1/2*BC*AB

Depending on the lengths of base and height amount of sand will be decided.

Now,

<em>For Rectangle dimensions,</em>

<em>We know that if same sized triangles composes each other forms a rectangle</em>.

It requires two triangle to form one rectangle as follows

(Refer the attachment)

Same sized Triangle ACD is imposed on it  to from rectangle ABCD.

So dimension for rectangle will be same as the triangle

Dimension=length and breadth

i.e. length=base of triangle=BC

Breadth=Height of triangle=AB

i.e Breadth =AB.

5 0
3 years ago
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