The rectangle below has an area of x^2-6x-7 sq meters and a width of x-7 meters.


What expression represents the length of the rectangle?


Length=______ meters

Answers

Answer 1

Answer:

Length = ( x - 1 ) ( m)

Step-by-step explanation:

Area of rectangle is:

A(r) = l*w ( in m² )    where l is the length in m   and w is the width in m

If we have:  A(r)  =  x² - 6*x  - 7 (m²), as an area of a rectangle, then we can factoring the equation, and get the rectangle dimensions, then:

x²  - 6*x  -  7  =  ( x  - 1 ) * ( x - 7 ) = area of the rectangle in m²

As problem statement establishes that ( x - 7 ) ( m)  is the width, then

( x - 1 ) ( m) is the length


Related Questions

what makes this statement true?
-1/8 ? -3/8

Answers

Answer:

-1/8>-3/8

Step-by-step explanation:

You can write it as a decimal.

-0.125 ? -0.375

what does eight 3s mean?

Answers

Answer:

8 + 8 + 8 =

Step-by-step explanation:

Thirds are when your timing a number three times.

The eight 3s means that the number 3 is repeated eight times.


What is a number system?

A set of symbols and guidelines used to represent and work with numbers is known as a number system. The decimal system, which bases itself on the value of 10, is the most widely used number system.

It employs the symbols 0 through 9 to represent numbers. But, there are a lot more number systems that have been created over time and are still employed in a variety of mathematics, computer science, and engineering sectors.

Eight 3s typically means the number 3 is repeated eight times. In mathematical notation, it is often represented as:

33333333

Therefore, the eight 3s means that the number 3 is repeated eight times.

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Can you please help me
:(

Can you please help me :(

Answers

Answer:

Step-by-step explanation:

3 divided by 1/3 is 9 there are 3/3 in one hour, so split it in threes

the other awnsers are correct

the number of groups, they askd for how many shifts, not how many people are working each shift.

Matthew has an investment that is now worth $21 537.82. Find the original amount
he invested if he has had the money invested at 2.5% per month for 3 years.

Answers

The answer would be $179.48183

if a distribution of scores is shown in a bar graph, you know that the scores were measured on a(n) _________ scale of measurement.

Answers

If a distribution of scores is shown in a bar graph, it suggests that the scores were measured on an ordinal scale of measurement.

An ordinal scale is a type of measurement scale that categorizes and orders variables or data points based on their relative ranking or position. In this case, the bar graph represents the frequencies or counts of different categories or ranges of scores, indicating an ordered arrangement of the data. However, the bar graph alone does not provide information about the exact numerical differences between the scores or their precise magnitudes.

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Here are the ages (in years) of 12 professors at a college.
51, 34, 56, 48, 37, 39, 59, 53, 52, 45, 3367
What is the percentage of these professors who are younger than 50?

=__%

Answers

Answer:

50%

Step-by-step explanation:

6 professors younger than 50 years = 6/12 = 50

Answer:

%50

Step-by-step explanation:

If you count the number of proffessors that are under 50, there are six. If there are 12 proffessors then it would be 1/2. One half in percentage is %50.

Pls give Brainliest!

What is the value of x in:
3x + 2(x + 1) = 12?
A.12
B.6
C.10
D.2​

Answers

Answer:

D

Step-by-step explanation:

3x + 2(x + 1) = 12 ← distribute and simplify left side

3x + 2x + 2 = 12

5x + 2 = 12 ( subtract 2 from both sides )

5x = 10 ( divide both sides by 5 )

x = 2 → D

d .2

d will be the answer

by simplify

Please answer question now what the answer

Please answer question now what the answer

Answers

Answer:

100 degrees

Step-by-step explanation:

360-260=100

Answer:

x=100

Step-by-step explanation:

130+130+x=360

260+x=360

x=100

Have a great and magnificent day

2/3, 0.67, 3.1, 3 1/3, 2/5
least to greatest

Answers

The numbers are written in an ordered list according to their values when they are arranged from least to greatest. The smallest number should be written on the left, followed immediately by the next smallest number.

What is the order from least to greatest?

Ascending order refers to the arrangement of numbers in which the smallest number comes before the largest. The numbers are listed in this fashion in ascending order. It is ideal for the first number to be less than the second. Descending order refers to arranging the integers from largest to least value.

When two fractions have the identical denominators, they are ranked according to the size of their numerators, with the smaller fraction being the smallest. The largest fraction is the one with the largest numerator. Both ascending and descending orders of fractions are possible.

Hence, when we arrange least to greatest the order will be

2/5,2/3,0.67,3.1,31/3

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When we arrange least to greatest the order will be 2/5,2/3,0.67,3.1,31/3

What is the order from least to greatest?Ascending order refers to the arrangement of numbers in which the smallest number comes before the largest. The numbers are listed in this fashion in ascending order. It is ideal for the first number to be less than the second. Descending order refers to arranging the integers from largest to least value.When two fractions have the identical denominators, they are ranked according to the size of their numerators, with the smaller fraction being the smallest. The largest fraction is the one with the largest numerator. Both ascending and descending orders of fractions are possible.

Hence, when we arrange least to greatest the order will be

2/5,2/3,0.67,3.1,31/3

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Factor each expression into its simplest form
2x+8

Answers

Answer:

2(x+4)

Step-by-step explanation:

common denominator is 2

Answer:

2(x+4)

Step-by-step explanation:

..............

it is not possible to use a relational operator and math operators in the same expression.

Answers

It is possible to use a relational operator and math operators in the same expression.

In programming, you can use relational operators (e.g., <, >, ==, !=) and math operators (e.g., +, -, *, /) together in the same expression. This is often used in conditional statements or loops to compare calculated values.

For example, consider the following expression:

`if (2 * 3) > (4 + 1)`

In this expression, we have math operators (*) and (+) and a relational operator (>). The math operations are evaluated first, resulting in:

`if (6) > (5)`

Then, the relational operator (>) is evaluated, and the expression becomes:

`if True`

The expression is true because 6 is greater than 5.

It is possible to use both relational operators and math operators in the same expression, which can be useful in various programming situations such as conditional statements or loops.

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M<7=100 find measure of <11

Answers

Answer:i think its 115 degres

Step-by-step explanation:

A baseball player hits a triple and ends up on third base. each side of length 25.740650945432 m, with home plate and the three bases on the four corners. what is the magnitude of his displacement?

Answers

The magnitude of his displacement is 77.221952836296 m

In this question,

A baseball player hits a triple and ends up on third base.

A baseball "diamond" is a square, each side of length 25.740650945432 m, with home plate and the three bases on the four corners.

We need find the the magnitude of his displacement.

The magnitude of his displacement is the distance from home plate to the third base.

the distance from home plate to the third base is

= 3 × 25.740650945432

= 77.221952836296 m

Therefore, the magnitude of his displacement is 77.221952836296 m

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fn = n2022 / en determine whtehr the sequence converges pr diverges if the sequence converges, find its limit

Answers

The limit of the sequence fn is 0 found using the  limit.

The sequence converges.

To find the limit of the sequence, we first need to obtain the value of e and then we can plug it into the formula to get the limit.

Let's consider the given sequence fn = n²⁰²² / eⁿ

To determine whether the sequence converges or diverges, we can use the ratio test. In the ratio test, we compute the ratio of consecutive terms of the sequence as follows:

lim{n→∞} | fn₊₁ / fn |

If this limit is less than 1, the sequence converges, and if it is greater than 1, the sequence diverges.

If the limit is equal to 1, then the ratio test is inconclusive and another test needs to be applied.

So let's calculate the limit. This gives:

lim{n→∞} | (n+1)²⁰²² / eⁿ⁺¹ * eⁿ / n²⁰²² | = lim{n→∞} | (n+1) / e |

Since e is a constant, and the limit of n+1 / n as n approaches infinity is 1, the limit of (n+1)/e is also 1.

Thus the ratio test shows that the sequence converges.

Now, to find the limit of the sequence, we need to evaluate:

lim{n→∞} fn= lim{n→∞} n²⁰²² / eⁿ

We can see that the denominator e^n in the sequence becomes very large as n becomes large.

Therefore, the sequence fn approaches zero as n approaches infinity. Thus, the limit of the sequence is zero.

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What is the Prime Factorization

Answers

Answer:

for example the PF of 32 is 2*2*2*2*2 or 2^5

Step-by-step explanation:

Answer:

It means the decomposition of a composite number into a product of smaller integers. If these factors are further restricted to prime numbers, the process is called prime factorization.

Simplify the expression -|2|

Answers

Answer:

-2

Step-by-step explanation:

The absolute value turns any number, whether it’s negative or positive, to a positive. Thus, it becomes -2 after deleting the absolute values.

the answer is 0 because






I need Help Quick!!!

I need Help Quick!!!

Answers

Answer:

150-200

Step-by-step explanation:

PLEASE SOMEONE DO THIS QUESTION FOR ME ASAP!! GIVING BRAINLIEST

PLEASE SOMEONE DO THIS QUESTION FOR ME ASAP!! GIVING BRAINLIEST

Answers

Answer:

5:15

Step-by-step explanation:

my phone is cracked and i can’t see the question, sorry!

Can someone help me please, with the step by step explanation ???

Can someone help me please, with the step by step explanation ???

Answers

Answer:

a=2

Step-by-step explanation:

8a +9=3a +19

Subtract 9 from both sides

-9=      -9

8a=3a +10

Subtract -3a from both sides

5a=10

5a=10

5a divided by both sides

5/5

10/5=2

a=2

HELP ME PLZ
Which is the constant of variation for the quadratic variation?
15y = 10x^2

a.2/3

B.3/2

C.10

D.15

Answers

B this is because 15y is 10 a

Constant of variation for given quadratic equation is 2/3

Correct option is a.

What is variation?

The ratio between two variables in a direct variation or the product of two variables in an inverse variation.

In the direct variation equations = k and y = k x,

and the inverse variation equations x y = k and

k is the constant of variation.

Given,

quadratic equation,

15y = 10x²

y = (10/15)x²

y = (2/3)x²

Comparing it with general form y = kx²

k = 2/3

Hence, 2/3 is constant of variation for the quadratic equation.

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The bike shop rents bikes for 10$ plus 4$ per hour. You paid 30$ to rent a bike. For how many hours did you rent the bike?

Answers

paid 10 in advance so that's 30-10 which is 20.

As it's 4 dollars per hour, 20 will be divided by 4.

20/4 = 5

So 5 hours.

prove that:
tan80°=2tan 70°+ tan10°​

Answers

tan80=5.67
2tan70+tan10=5.67

So tan80=2tan70+tan10

Answer:

kunjal brother answer is correct hope it's help you have a good day ☺☺ keep smiling be happy stay safe ☺☺

A cone has a surface area of 200 pi square inches. If the radius of the
cone is 10 inches, find the length of the slant height.

Answers

Answer:

\(20\:\mathrm{in}\)

Step-by-step explanation:

The lateral surface area of a cone is given by \(A=\pi r\ell\), where \(r\) is the radius of the base of the cone and \(\ell\) is the cone's slant height.

Solving for \(\ell\):

\(200\pi=10\pi\ell,\\\ell=\frac{200\pi}{100\pi}=\boxed{20\:\mathrm{in}}\)

*Note: It is implied that the surface area of 200 pi square inches is lateral surface area and not total surface area, because it is impossible to obtain a total surface area of 200 pi with a radius of 10 inches.

Combine the like terms to create an equivalent expression:

−5j+(−2j)+3

Answers

Answer:

3 - 7j is the answer

Step-by-step explanation:

-5j + -2j + 3

|_______|

-7j + 3 [or vice versa, like in the above answer]

Answer: −7 j + 3  I hope I helped!!!

static reports differ from dynamic reports in that __________.

Answers

"Static-Reports" differ from "dynamic-reports" in that static-reports are fixed.

The "Static-Reports" differ from dynamic reports in that static reports are fixed and do not change once generated, while dynamic reports are capable of updating and adapting in real-time or based on user interactions.

Static reports are pre-generated and provide a snapshot of information at the time of creation. They are static in nature and do not reflect any changes which may occur after their generation. Static reports are commonly in formats like PDF or printed documents.

The dynamic reports are designed to be interactive and responsive. They can be connected to live databases, which allows for real-time updates and dynamic visualizations.

Dynamic reports can be customized, filtered, and adjusted by users to explore data from different angles.

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The main difference between static and dynamic reports is that static reports are fixed documents that do not change or update automatically, while dynamic reports can update and change in real-time.

In the field of business, reports play a crucial role in presenting and analyzing data. Two types of reports commonly used are static reports and dynamic reports. The main difference between static and dynamic reports lies in their nature and functionality.

Static reports are fixed documents that present information at a specific point in time. They do not change or update automatically. These reports are typically created using tools like Microsoft Word or Excel. Static reports are often used for presenting historical data or summarizing information. For example, a static report may be used to present sales figures for a specific quarter or to summarize the financial performance of a company for a particular year.

Dynamic reports, on the other hand, are capable of updating and changing in real-time. They are usually generated using specialized software or programming languages. Dynamic reports can pull data from various sources and provide up-to-date information. These reports are commonly used for monitoring and analyzing real-time data. For instance, a dynamic report may be used to track website traffic in real-time or to monitor stock prices as they fluctuate throughout the day.

In summary, static reports are fixed documents that do not change or update automatically, while dynamic reports can update and change in real-time.

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I'd really appreciate some help on this. Find JL.

I'd really appreciate some help on this. Find JL.

Answers

Answer:

Dude

the twice of ML is equal to JL....

Now u may ask how can I say this the reason is I used "THE MIDPOINT FORMULAE" do search this concept on utube........

2(5x-16) = 4x+34

So here x is 11

Put the value of it in JL.... so JL is 4*11+34 = 78 units......

The area is 21in^2. Write an equation and use it to find the value of D.

The area is 21in^2. Write an equation and use it to find the value of D.

Answers

Given figure is a rectangle.

The rectangle is of length d in and width 3 in.

Therefore, its area is 3d square inches.

Accordingly,

\(\begin{gathered} 3d=21 \\ d=7 \end{gathered}\)

Hence, the value of d is 7.

Your cell phone plan costs ​$24..99 per month plus ​$0.17 for each text message you send or receive. You have at most ​$29 to spend on your cell phone bill. What is the maximum number of text messages that you can send or receive next​ month?​

Answers

Answer:

The maximum number of text messages you can send per month would be 23.

Step-by-step explanation:

1. First, you want to create an inequality from the word problem.  You know that $24.99 is a constant, so we won't put any variables next to it.  You also know that each text message is $0.17, so that would need a variable since it can change each month.  You also know that you can spend $29 maximum each month, so that goes on the other side of the inequality.  Your inequality will look like this:  0.17x+24.99≤29 (x is the number of text messages).

2. Second, you want to solve for x.  To do this, subtract 24.99 from each side.  After this, the equation is 0.17x≤4.01

3. Now, divide each side by 0.17.  Now your inequality is x≤23.59.  This represents how many text messages you can send per month without going over 29.

4. Finally, you have to realize that is impossible to send exactly 23.59 text messages.  So, you have to round down to 23 to get an even number of text messages, and that's your answer!

Hope this helps!  Feel free to ask any questions :)

4. Triangle RST below will be dilated with the
origin as the center of dilation and a scale
factor of 4. What will be the coordinates of
the vertices of the dilated image, AR'ST?
12
11
10
C.
9
8
7
RTS
0123456789101112
A. R'(4, 12), S'(12, 12), T'(8,4)
B. R'(4, 12), S'(9, 9), T'(8, 1)
R' (2, 6), S'(12, 12), T'(4, 2)
fallby
D. art
R(1, 2), S (1,1). T(1, 2)

4. Triangle RST below will be dilated with theorigin as the center of dilation and a scalefactor of 4.

Answers

The coordinates of the vertices of the dilated image, ΔR'S'T' include the following: A. R' (4, 12), S' (12, 12), T' (8, 4).

What is a dilation?

In Mathematics and Geometry, a dilation simply refers to a type of transformation which typically changes the size of a geometric object, but not its shape.

This ultimately implies that, the size of the geometric shape would be increased (stretched or enlarged) or decreased (compressed or reduced) based on the scale factor applied.

Next, we would apply a dilation to the coordinates of the pre-image by using a scale factor of 4 centered at the origin as follows:

Ordered pair R (1, 3) → Ordered pair R' (1 × 4, 3 × 4) = R' (4, 12).

Ordered pair S (3, 3) → Ordered pair S' (3 × 4, 3 × 4) = S' (12, 12).

Ordered pair T (2, 1) → Ordered pair T' (2 × 4, 1 × 4) = T' (8, 4).

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After 6 matches a volley ball team has an average score of 2.5 goals.How many goals has the team scored

Answers

Answer:

15 goals

Step-by-step explanation:

We are given that

Total number of matches, n=6

Average score of team=2.5 goals

We have to find total number of goals scored by team.

We know that

Average value=Sum of data/total number of data

Using the formula

2.5=Total goals/6

Total goals\(=2.5\times 6\)

Total number of goals scored by team=15

Hence, the team has scored 15 goals in 6 matches.

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