The area of a rectangle is x²-4x-21
Write down an expression for the width and the length of
the rectangle.​

Answers

Answer 1

Answer:

Step-by-step explanation:

Area of rectangle= Length x Width

and the given Area is a quadratic expression

A=[tex]x^{2} -4x-21[/tex]

We use the factorization method so,

we need 2 numbers that when multiplied we get -21 and when we add/subtract we get -4 so,

A=[tex]x^{2} -7x+3x-21[/tex]

now we simplify,

A=[tex]x(x-7)+3(x-7)[/tex]

A=[tex](x-7)(x+3)[/tex]

This looks familiar doesn't it, when we write the formula for the area of rectangle its

A= Length x Width and the equation here shows that

A= [tex](x-7)(x+3)[/tex]

So the expression for the length is x-7 and

the expression for the width is x+3 i think u have missed maybe some information on the question as such that the perimeter might be missing because length could be either x-7 or even x+3 same goes for width maybe someone can correct me if im wrong


Related Questions

Based on the lesson, identify the first operation needed to solve the following equation. x/11 - 2 = 3 multiplication subtraction addition division

Answers

The number 2 should be added to both sides of the given linear

equation to enable the variable x be made the subject of the equation.

Response:

The first operation that needed to solve the equation is; Addition

Which sequence of steps are needed to solve the given equation?

The given equation is presented as follows;

[tex]\mathbf{\dfrac{x}{11} - 2} = 3[/tex]

The solution of the above equation van be found by making x the

subject of the equation.

Removing the 2 from the left hand side of the equation will isolate the [tex]\dfrac{x}{11}[/tex]

, from which the value of x can be found by multiplying by 11.

First operation;

To remove the 2, we have;

2 - 2 = -2 + 2 = 0, adding 2 to both sides of the equation gives;

[tex]\dfrac{x}{11} - 2 \mathbf{+ 2 }= 3 + 2[/tex]

[tex]\dfrac{x}{11} + 0 = 3 + 2 = 5[/tex]

[tex]\dfrac{x}{11} = 5[/tex]

Second operation;

[tex]\dfrac{x}{11} \times 11 = 5 \times 11 = 55[/tex]

x = 55

The first operation that needs to be needed to solve the given equation

is therefore;

Addition

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Answer: It would be addition

Mark as brainliest <3

The hypotenuse of a right triangle is 5inches long. The shorter leg is 1 inch shorter than the longer leg. Find the side lengths of the triangle.

Length of the shorter leg:

Length of the longer leg:
Length of the hypotenuse:

Answers

Answer:

Hypotenuse = 5 in

Longer leg = 4 in

Shorter leg = 3 in

Step-by-step explanation

The longer leg = x

The shorter leg = x - 1

Now through Pythagoras theorem:

hyp^2 = leg1^2 + leg2^2

5^2 = x^2 + (x - 1)^2

25 = x^2 + x^2 - 2 x + 1^2

25 = 2 x^2 - 2 x + 1

2 x^2 - 2 x - 24 = 0

2 ( x^2 - x - 12) = 0

2 (x - 4) (x + 3) =0

then x = 4  or x = - 3

We use the positive answer since we are looking for a length

then longer leg is 4 inches long,

and therefore the shorter one is one inch shorter than 4 in . That is:

shorter leg = 3 inches

(5,9), (5-3)
what is the slope?

Answers

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

When you want to find out what the slope is, you have to remember what the formula is first....

[tex]m=\frac{y}{x} =\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

so in this case -3 would be the [tex]y_{2}[/tex] because it's the y in the ordered pair and it's the second one. Then one of the 5's would be [tex]x_{2}[/tex] and 9 would be [tex]y_{1}[/tex] and then the other 5 would be [tex]x_{1}[/tex].

now if we plug it in

[tex]\frac{-3-9}{5-5} =\frac{-12}{0}[/tex]

now we can tell that we can't divide by zero so the slope would be unidentified and that's it.

please solve need help ASAP :)

Answers

Answer:

p^m+n

Rember than please

<3

Red

Estimate . Then find sum 25,211 plus 9,517

Answers

Answer: 34,728

Step-by-step explanation:

All your going to want to do here is add both numbers, and you will get your answer of 34,728. Hope this helps!

Solve the equation because I really need help

Answers

Answer:

No Solution

Step-by-step explanation:

P.E.M.D.A.S

4(x+5) = 21 + 4x

4x+20 = 21+4x

we would subtract 4 on both sides to isolate 4 by it self.

subtract 4x on both sides but when we do we get 0 for x

4x-4x + 40 = 21 + 4x-4x

we get 40 = 21

So our answer is no Solution or unless your just tryning to find out that the total is with out x 40 = 21

high hopes ^^

Barry

solve D

6d-11/2=2d-13/2

Answers

Answer:

d = -1/4 or -0.25

now that i helped you can you go follow my twitch KayduxTV

Step-by-step explanation:

Answer:

d= -1/4

Step-by-step explanation:

First: subtract 2d from each side so you end up with 4d-11/2=-13/2

Second: next add 11/2 to both sides so you end up with 4d=-1

last: divide each by 4 to get d by itself

your final amswer is d=-1/4

the value of the 3 in 783.97 is blank the value as the 3 in 6.529.34

Answers

Answer:

the first 3 is 30 the second is 3/10

Step-by-step explanation:

Luci cuts a board that is 5/9 yard long into pieces that are 5/18 yard long. How many pieces does she cut?

Luci cuts ___ pieces

Answers

Answer:

2

Step-by-step explanation:

9x2=18

5x2=10

10/18=5/9

10/18 divided by 2 5/18

so its 2

Which fractions have a decimal equivalent that is a repeating decimal 13 65, 141-47, 11-12 or 19-3

Answers

Answer:

Step-by-step explanation:

If you convert 13/65 to a decimal its 0.2, thats not repeating, if u convert 141/47 to a decimal its 3, so thats not repeating. If you convert 11/12 to a dec. its repeating 0.9166666666667 so yes its repetitive and 19/3 converted to a decimal is 6.333333333 its repetitive. 11/2 and 19/3 are the answers. Woohoo

Fractions 11 / 12 and 19 / 3 have the decimal equivalent which is a repeating decimal.

Given that,
Fraction, 13 / 65, 141 / 47, 11 / 12 or 19 / 3 are given.
We have to determine that fractions have a decimal equivalent that is a repeating decimal.

What is a recurring decimal?

Recurring Decimal is defined as also named repeating decimal, is a decimal number that only consists of repeating digits after a certain interval after the decimal. For example, 94.642642642..., 213.569569... etc.

Here,

13/65 = 0.2
141 / 47 = 3
11/ 12 = 0.9166666666......
19/3 = 6.333333333
So, from the above calculation, 11 / 12 and 19 / 3 have the repeating decimal.

Thus, Fractions 11 / 12 and 19 / 3 have the decimal equivalent which is a repeating decimal.



More information about recurring decimal check it out here:

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10. Mark ran 3 miles everyday for 2 weeks. How far did mark run in all?​

Answers

14 days = 2 weeks so

14 times 3 = 42

Answer:

42 miles

Step-by-step explanation:

2 weeks= 14 days

3 miles everyday times 14

= 42 miles

PLS Answer these questions! I have a test!

Answers

Answer:

ZDM is not a name for the angle, 6 square units is the area, A the cylindar, 26 degrees

Step-by-step explanation:

Area of triangle is 1/2 base x height

116-90 = 26 degrees to angle ABC

116=29 degrees I just know

What is the square root of 16?
A.4
B.6
C.8
D.10

Answers

Answer:

4

Step-by-step explanation:

because i know how to do it

Answer:

A. 4

Step-by-step explanation:

Square root means " a number which produces a specified quantity when multiplied by itself."

When you multiply 4 and 4, you get 16.

What transformation occurs to the graph f (x) =2x + 3 if the 3 in the equation is changed to a 5?

Answers

The equation will shift up two points

PLEASE HELP ASAP!!!!

Find the volume of a right circular cone that has a height of 9.7 ft and a base with a
radius of 7.6 ft. Round your answer to the nearest tenth of a cubic foot.

Answers

Answer:

1/3*9.7*Pi*7.6^2 ft^3 and then round to nearest tenth

Step-by-step explanation:

The trick is knowing that the volume of the cone is exactly 1/3 of the volume of the cylinder with the same radius & height. This relation can be derived using integrals.

Answer:

586.7

Step-by-step explanation:

answers may vary to what teachers want but thats what i got according to delta math

I’ll mark brainliest!!!! What is the length of BC in the right triangle below?
A. 63
В. 3
С. 21
D. -/63
E. 15
Е 225

Answers

Answer:

E. 15

Step-by-step explanation:

Use the Pythagorean theorem: a²+b²=c²

9²+ 12²= c²  (This is the info we have so far.)

81 + 144 = c² (Simplify. 9² = 81 ; 12² = 144)

225 = c² (Added 81 + 144 = 225)

√225 = 15 (Square root of 225 is 15.)

Answer:

Step-by-step explanation:

15

Simplify 12x7y3 divided by 6x3y

Answers

Answer:

12x7y3

----------- = 6x4y3

 6x3y

Step-by-step explanation:

In dividing these numbers, you simply subtract 6x from 12x and subtract 3y from 7y because 6x and 3y are both in the denominator. 3 is left alone.

Please find angles s and k

Answers

Answer:

s-64 and k-116

Step-by-step explanation:

A landscaper needs to estimate the amount of material required for a project building a circular brick patio for a client. The diameter of the patio is 13m and one bundle of brick will cover 116ft^2. How many bundles does he need?

Answers

Answer:

13 bricks

Step-by-step explanation:

Given parameter:

Diameter of the patio = 13m

Area of one bundle of brick  = 116ft²

Unknown:

The number of bricks that will cover the patio = ?

Solution:

To solve this problem, we must find the area of the patio first.

     Area of the patio = π r²

r is the radius of the patio;

   Radius  = [tex]\frac{13}{2}[/tex]

 So area = π  x ( [tex]\frac{13}{2}[/tex]) ² = 132.75m²

Now, let us convert the Area of the brick from ft² to m²;

     1ft²  = 0.093m²

   116ft² = 0.093 x 116  = 10.79m²;

The number of bricks required to cover the patio = [tex]\frac{132.75}{10.79}[/tex]   = 12.3 bricks,

Realistically, about 13 bricks would be needed.

;))))))))))))))))))))))))))))))))))))))))))))))))))))))))

Answers

Answer:

;)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))

Outcome:

Reported

Reason:

Sorry, but this isn't a question. It violates the Community Guidelines, and it isn't the purpose of Brainly. The purpose of brainly is to help people with homework or questions they have and rewards people who help other people. This question is giving free points to people regardless if they were a help or not.

Maria played a game with her little sister for 2/5 hour and read her little sister a book for 5/8 hour.

What is the best estimate for the total time Maria spent with her little sister?

Drag and drop an answer into each box to correctly complete the sentences.

​2/5​ hour is closest to . 5/8​ hour is closest to . Therefore, the best estimate for the total time Maria was with her sister is close to .

Answers

Answer:

Step-by-step explanation: 60÷8=7.5x5=37. 5

60÷5=12x2=24

24+37.5=61.5

It was exactly 61 minutesand 50 seconds

Answer:

60÷8=7.5x5=37. 560÷5=12x2=2424+37.5=61.5It was exactly 61 minutes and 50 seconds

Step-by-step explanation:

In baseball, two statistics, the ERA (Earned Run Average) and the WHIP (Walks and Hits per Inning Pitched), are used to measure the quality of pitchers. For both measures, smaller values indicate higher quality. The following computer output gives the results from predicting ERA by using WHIP in a least-squares regression for the 2017 baseball season.

Answers

Answer:A

Step-by-step explanation:

The best interpretation of the value of 6.8 is shown in the output, ERA is predicted to increase by 6.8 units.

What are statistics?

Statistics is the study of the discipline that concerns the organization, collection, analysis, and presentation of data.

In baseball, two statistics, the ERA (Earned Run Average) and the WHIP (Walks and Hits per Inning Pitched), are used to measure the quality of pitchers.

For both measures, smaller values indicate higher quality.

Variable DF Estimate SE T

Intercept 1 −5.0 0.26 −19.3

WHIP 1 6.8 0.14 47.4

ERA is predicted to increase by 6.8 units for each 1 unit increase of WHIP.

Thus, the best interpretation of the value of 6.8 is shown in the output, ERA is predicted to increase by 6.8 units.

Learn more about statistics:

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What is the factored form of this expression? 4x^3 - 8x^2 - 9x + 18

A. (2x + 3)(2x - 3)(x - 2)

B. (2x + 3)(2x + 3)(x - 2)

C. (2x + 3)(2x - 3)(x + 2)

D. (2x - 3)(2x - 3)(x - 2)

Answers

Answer: D

Step-by-step explanation:

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

(2x + 3)(2x - 3)(x - 2) is the factor form of the expression (2x + 3)(2x - 3)(x - 2).

Option A is the correct answer.

(2x + 3)(2x - 3)(x - 2).

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

4x³ - 8x² - 9x + 18

We will check the expression in factor form:

A.

(2x + 3)(2x - 3)(x - 2)

(2x + 3) (2x² - 4x - 3x + 6)

4x³ - 8x² - 6x² + 12x + 6x² - 12x - 9x + 18

4x³ - 8x² - 9x + 18 ____(1)

B.

(2x + 3)(2x + 3)(x - 2)

(2x + 3) (2x² - 4x + 3x - 6)

4x³ - 8x² + 6x² - 12x + 6x² - 12x + 9x - 18

4x³ + 4x² - 15x - 18 ____(2)

C.

(2x + 3)(2x - 3)(x + 2)

(2x + 3) (2x² + 4x - 3x - 6)

4x³ + 8x² - 6x² - 12x + 6x² + 12x - 9x - 18

4x³ + 14x² + 3x - 18 ____(3)

D.

(2x - 3)(2x - 3)(x - 2)

(2x - 3) ( 2x² - 4x - 3x + 6)

4x³ - 8x² - 6x² + 12x - 6x² + 12x + 9x - 18

4x³- 20x² + 33x - 18 ____(4)

From (1), (2), (3), and (4) we see that,

(2x + 3)(2x - 3)(x - 2) is the factor form of the expression (2x + 3)(2x - 3)(x - 2).

Option A is the correct answer.

Learn more about expressions here:

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this week mr wooten spent $30 for hot dogs and supplies. he earned $18. did he make money or did he loose money this week

Answers

Answer:

lost 12

Step-by-step explanation:

A 16-cup carton of ice cream costs $26.72. What is the price per pint?

Answers

Answer:

$3.34

Step-by-step explanation:

3x - 15 = 7 - 8x how do you solve this​

Answers

Answer:

X=2

Step-by-step explanation:

3x-15=7-8x

3x+8x=7+15

11x=22

x=[tex]\frac{22}{11}[/tex]

x=2

Answer:

324

Step-by-step explanation:

3x3 = 9

9-15 = -6

8x8=64

7-64=-54

-54 x -6 = 324

PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((

Answers

The best estimate is point B

Find the ordered pair $(x,y)$ that satisfies the system of equations

Answers

Answer:

(9,6)

Step-by-step explanation:

9+6=15

9-6=3

Answer:

(9,6)

that's the answer

help much appreciated ):

Answers

Answer

Step-by-step explanation:

help much appreciated ):help much appreciated ):help much appreciated ):help much appreciated ):help much appreciated ):help much appreciated ):help much appreciated ):help much appreciated ):help much appreciated ):help much appreciated ):help much appreciated ):help much appreciated ):help much appreciated ):help much appreciated ):help much appreciated ):help much appreciated ):help much appreciated ):help much appreciated ):help much appreciated ):help much appreciated ):help much appreciated ):help much appreciated ):help much appreciated ):help much appreciated ):help much appreciated ):help much appreciated ):help much appreciated ):help much appreciated ):    hope this helps leave a heart c:

HELP NEEDED MATHS PLEASE!!!

Answers

Answer:

f(3)= 3+1

=4

gf(3) is attached.

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