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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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Step-by-step explanation:

Trapezoid

Solve for area

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a Base  

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b Base  

17

h Height  

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3 years ago
Several members of a running club would like to survey the rest of the members to determine which 5K races the club should enter
telo118 [61]

Answer:

01–78

Step-by-step explanation:

Edge 2020/2021

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3 years ago
A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as ed
Lady_Fox [76]

Answer:

for 3644 produced books the costs will be the same.

Step-by-step explanation:

x = number of books

f(x) = production method 1 costs

g(x) = production method 2 costs

f(x) = 11.75x + 57077

g(x) = 21.25x + 22459

for what number of books (x) will that be the same ?

11.75x + 57077 = 21.25x + 22459

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4 0
3 years ago
Show that 6^3-1 is divisible by 5 using our identities
Doss [256]

Answer:

Step-by-step explanation:

a³-b³=(a-b)(a²+ab+b²)

6³-1=6³-1³=(6-1)(6²+6*1+1²)=5×43

so 6³-1 is divisible by 5.

8 0
3 years ago
Read 2 more answers
20 POINT!!!!!!!11PLEASE HELP!!!!!
Vera_Pavlovna [14]

Answer:

14 millimeters

Step-by-step explanation:

V=(4/3)πr³

1372π(1/3)=(4/3)πr³

1372=4r³        <em>(cancel out the pi and multiply both sides by 3)</em>

r³=343

r=7

Diameter is twice the radius = 2(7) = 14

8 0
3 years ago
Read 2 more answers
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