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Maurinko [17]
3 years ago
13

A piece of cloth is folded into a square with a side length measuring x inches. When it is unfolded, it has an area of x2 + 27x

+ 162 square inches.
Which could be the dimensions of the rectangular piece of cloth when it is unfolded? Remember, the area of a rectangle can be determined using the formula A = lw.

length = (x + 9) inches and width = (x + 3) inches
length = (x − 3) inches and width = (x − 9) inches
length = (x + 18) inches and width = (x + 9) inches
length = (x − 9) inches and width = (x − 18) inches

Mathematics
2 answers:
Anuta_ua [19.1K]3 years ago
8 0
Hello,

(x+9)(x+3=x²+21+27 No
(x-3)(x-9)=x²-12x+27 No

(x+18)(x+9)=x²+27x+162 Yes
(x-9)(x-18)=x²-27x+162 No

Answer C



marusya05 [52]3 years ago
4 0

we have

x^{2} + 27x + 162

Using a graph tool------> to resolve the second order equation

the solution is

x=-18\\ x=-9

so

x^{2} + 27x + 162=(x+18)*(x+9)

therefore

the answer is the option

length = (x + 18) inches and width = (x + 9) inches

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Integrate x<br><img src="https://tex.z-dn.net/?f=x4" id="TexFormula1" title="x4" alt="x4" align="absmiddle" class="latex-formula
Dmitrij [34]

Answer:

The result of the integration is \frac{x^5}{5}

Step-by-step explanation:

Integration of a power of x:

The integration of a power of x is:

\int x^{n} dx = \frac{x^{n+1}}{n+1}

In this question:

n = 4. So

\int x^{4} dx = \frac{x^{4+1}}{4+1} = \frac{x^5}{5}

The result of the integration is \frac{x^5}{5}

4 0
2 years ago
Drag each expression to show whether it is equivalent to 36x + 9, 9(4x – 1), or (4 • 9x) + (4 • 2).
lora16 [44]
In order to find out what 36x + 9 is equivalent to,, we must factor out 9 from the expression. Once we do this you will find that this expression is equivalent to 9(4x + 1),, or option E.
Next we will look at the expression 9(4x -1). In order for us to find out the equivalent to this expression,, we must first multiply each term in the parenthesis by 9. 
9 × 4x - 9
Now calculate the product
36x - 9
This means that the equivalent for this expression is 36x - 9,, or option A.
Lastly,, we will look at the final expression given which is 4(9x + 2). The first step for finding the equivalent of this expression is to multiply the numbers in the first parenthesis together.
(36x) + (4 × 2)
Now multiply the numbers in the second parenthesis together.
(36x) + 8
Remove the parenthesis
36x + 8
Now factor out 4 from the expression to get your final answer.
4(9x + 2)
This means that the last expression is equivalent to 4(9x + 2),, or option C.
Let me know if you have any further questions
:)
3 0
3 years ago
A group of 12 students goes on a school field trip, 6 are in third grade. which fraction is equivalent to 6 12
Elis [28]

The fraction which is equivalent to 6/12 is 1/2

What does a fraction mean?

In the first place, fraction is a numerical quantity or relationship where one number is expressed in terms of another.

In order to determine the equivalence of 6/12 in fraction , we need reduce 6/12 to the lowest term, since 6 is common to 6 and 12 and that 6 divided by gives 1 and 12/6 gives 2, which means that we are left 1/2

The correct fraction which is equivalent to 6/12 is 1/2

Find out more about fraction on:brainly.com/question/5243429

#SPJ1

Full question:

A group of 12 students goes on a school field trip, 6 are in third grade. which fraction is equivalent to 6/12?

(A) 1/3

(B)1/4

(C) 1/6

(D) 1/2

5 0
2 years ago
What are the slope and the y-intercept of the linear function that is represented by the table?
vlabodo [156]

Answer:

y=-2+12

Step-by-step explanation:

2ed row shows y int, suing x-x/y-y slope is -2

3 0
3 years ago
The members of a health spa pay annual membership dues of $300 plus a charge of $2 for each visit to the spa. Let Y denote the d
Ganezh [65]

Answer:

Y = 300 + 2X

Y( in dollars)

It is a functional relationship because a change in the value of X results in a corresponding change in the value of Y. And does not involve any uncertainty.

Step-by-step explanation:

Given:

Annual fixed due = $300

Variable cost = $2 per visit

X = number of visits in a year

Y = total yearly cost.

Y = annual cost + variable cost

Y = $300 + $2×X

Y = 300 + 2X

Y( in dollars)

It is a functional relationship because a change in the value of X results in a corresponding change in the value of Y. And does not involve any uncertainty.

8 0
3 years ago
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