A rectangle has area x3 + 3x2 - 18x in.2 and width x + 6 in. What is the length in inches?​

Answers

Answer 1

Answer:

HOPE THIS HELPS

Step-by-step explanation:

The area = length * Width.

We know the width = X+6 inches and Area = x^3+3x^2–18x.

This problem can be solved just by dividing the area by width and we get a quotient as X^2–3x.

So the length is x^2–3x inches.

Answer 2

The length of the rectangle is [tex]\rm x(x-3)[/tex].

Given

The area of the rectangle = [tex]\rm x^3+3x^2-18x[/tex] square inches

The width of the rectangle = x + 6 inches

Area of the rectangle

The area of the rectangle is equal to the product of length and width of the rectangle.

Let the length of the rectangle be L.

The area of the rectangle is given by;

[tex]\rm Area \ of \ the \ rectangle =Length \times Width\\\\[/tex]

Substitute all the values in the formula;

[tex]\rm Area \ of \ the \ rectangle =Length \times Width\\\\\rm x^3+3x^2-18x= L \times (x+6)\\\\L=\dfrac{ x^3+3x^2-18x}{x+6}\\\\L = \dfrac{ x(x+6)(x-3)}{x+6}\\\\ L = x (x-3)[/tex]

Hence, the length of the rectangle is [tex]\rm x(x-3)[/tex].

To know about rectangles click the link given below.

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Related Questions

HELP ME WITH ALGEBRA PLEASE! THANK YOU

Answers

Answer:

d=8

Step-by-step explanation:

Okay we've got 68/17 and d/2

68/17 = 4 meaning d/2 is also 4. Since 4 × 2 is 8, we know the answer is 8.

Which of the following is a true statement?
A. |5| < |–8|
B. |5| > |–8|
C. |–8| < |5|
D. |5| < |0|

Answers

Answer:

A. |5| < |–8| is the correct option.

Help!!! Bo and Erica are yoga instructors. Between the two of them, they teach 46 yoga classes each week. If Erica teaches 14 fewer than twice as many as Bo, how many classes does each instructor teach per week?
A.
22 Bo; 24 Erica
B.
24 Bo; 22 Erica
C.
17 Bo; 29 Erica
D.
20 Bo; 26 Erica

Answers

Answer: D

Step-by-step explanation:

2x - 14 + x= 46

3x = 60

x= 20

There are 568 apples in the kitchen ready to make apple pies, if 50% of them are green, how many are green?

Answers

Answer:

284 apples are green

Step-by-step explanation:

50 is half of one hundred so you divided 568 by 2

What is the equation in slope-intercept form of the line that passes through the points (-4, 2) and (12, 6)? ​

Answers

Answer:

Step-by-step explanation:

What are some fractions equivalent to -1/4

Answers

Answer:

-2/8, -4/16, -8/24

Step-by-step explanation:

Answer:

-2/8

-4/16

-8/32

-16/64

-25/100

The graph below shows the distance a car can travel, y, using x gallons of gasoline.

Part A
How many miles per gallon does the car get ?


Part B
How many miles can the car travel using 9 gallons of gasoline ?

Answers

Answer:

Part A= 25 miles    Part B= 225 miles

Step-by-step explanation:

The car uses 2 gallons to travel 50 miles so 1 gallon is equal to 25 miles.

a boy walks meter in 6 min. how many meter can he walk in 1 hour​

Answers

Answer:

mama mo blue

Step-by-step explanation:

Answer:

10 meters

Step-by-step explanation:

1hr(60min)

60÷6=10

Simplify the expression. Write your answer as a power.
k^13/k^5 * k^17/k^11

Answers

Answer:

k^14

Step-by-step explanation:

An expression is defined as a set of numbers, variables, and mathematical operations. The simplification of the given expression (k¹³/k⁵)×(k¹⁷/k¹¹) is k¹⁴.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The simplification of the given expression (k¹³/k⁵)×(k¹⁷/k¹¹) can be done as,

[tex]\dfrac{k^{13}}{k^5} \times \dfrac{k^{17}}{k^{11}}\\\\= k^{(13-5)} \times k^{(17-11)}\\\\= k^8 \times k^6\\\\= k^{(8+6)}\\\\=k^{14}[/tex]

Hence, The simplification of the given expression (k¹³/k⁵)×(k¹⁷/k¹¹) is k¹⁴.

Learn more about Expression:

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#SPJ2

Hurry please. Also thank you in advance

Answers

Answer:

The answer is C [tex]\sqrt{97}[/tex].

Step-by-step explanation:

Use the pythagorean theorem. [tex]a^{2} + b^{2} = c^{2}[/tex]. With a and b corresponding to the legs of the triangle.

Plzz help mehjDutch hchch h

Answers

Answer:

See below

Step-by-step explanation:

Given the data set of 15 where:

Mean = 7Median = 6Mode = 5The minimum is 1 and the maximum is 10

As per given we conclude

The set will have 7 numbers before 6 and 7 numbers afterSum of 15 numbers is 15*7 = 105The most used number is 5

a) Possible set is:

1, 5, 5, 5, 5, 5, 5, 6, 9, 9, 10, 10, 10, 10, 10

b) Add number 20, the set will be:

1, 5, 5, 5, 5, 5, 5, 6, 9, 9, 10, 10, 10, 10, 10, 20

The mean is different as we have now more numbers with different sum:

(105 + 20)/(15 + 1) = 125/16 = 7.8125

The median is different now and moves to the right as 20 added to the far right:

(6 + 9)/2 = 7.5

The mode stays same as still most used number is 5:

5

ANSWER ASAP PLEASE
look at the photo

Answers

Step-by-step explanation:

Area of trapezium = 1/2(a+b)h

= 1/2(10+24)12

= 1/2×34×12

= 204 square units

help please!
- Write a recursive formula for a an =12+(n−1)10.

Answers

Answer:

12/(n-1)=10/(n+3). 12n−1=10n+3 12 n - 1 = 10 n + 3

Step-by-step explanation:

You buy an electronic organizer that is on sale for 15% off
the original price of $20. What is the sale price?

Answers

Answer: The sell price is $3

Step-by-step explanation: If you multiply 20 x 15 = 300 divide by 100 equal 3

where do the equations y=5x+1 and y=2x-11 intersect

Answers

Answer:

They intersect at (-4, -19)

Step-by-step explanation:

Graph both of the equations and once you do that all you have to do is find the point where they intersect.

Hope this helped you!

⭐If this helped please consider giving me brainliest!⭐

Answer:

(-4,-19)

Step-by-step explanation:

What is the value of x in the figure shown?



19°

71°

81°

89°

Answers

Answer: 19

Step-by-step explanation:

Answer: it is 71,because 180-109=71

Step-by-step explanation:

What is the name of the little gates that control the airflow through the brass instrument? A. slides B. bend C. valves D. pick ( this is for music class)

Answers

The answer is c or valves

Answer:

valves

Step-by-step explanation:

solve for y.
5x + 4 = -4y​

Answers

Answer:

5x−4=y 5 x - 4 = y . Add 4 to both sides of the equation. Divide each term by 5 and simplify. Divide each term in 5x=y+4 5 x = y + 4 by 5 5 .

Here's the answer I hope this helps you

Step-by-step explanation:

What is f(-6)? Hint: plug (-6) in for the variable p.
Complete the table.

Answers

Step-by-step explanation:

f(-7)= (-7)^2 + 6×(-7)=49-42= 7

f(-6)=36-36= 0

f(-5)=25-30= -5

f(-4)=16-24= -8

Independent Practice


Use <, =, > to compare.


|| 19 || || − 19 ||


A.
|19 | = |–19|


B.
|19 | < |–19|


C.
|19 | > |–19|

Answers

Answer:

A.

|19 | = |–19|

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

What is the median for the following set of data? 2, 3, 6, 8, 9, 10, 11 7 8 10 11

Answers

8 :)

Step-by-step explanation:

What is the median of 23, 34, 35, 37, 41, 43, 43

Answers

Answer:

The Median is 37

Step-by-step explanation:

Answer:

the answer is thirty seven

37

it's the middle number

TE
6 (a - 2) + 8a - 2 + 3 (a + 1)

Answers

The answer is 17a-17

Answer:

6a - 12 + 8a - 2 + 3a + 3

17a - 11

Step-by-step explanation:

You first solve the brackets by multipling

And you add the sums that consists same letters



Prove that a triangle with coordinates

A(5, 6), B(8,5), and C(2, -3) is a right triangle.

Answers

Answer:

Because the side of the triangle forms pythagoras tripple

Line AB = √10

Line BC = 10

Line AC = √90

Step-by-step explanation:

From the question,

In the triangle,

Line AB = √[(8-5)²+(5-6)²]

Line AB = √(3²+-1²)

Line AB = √(9+1)

Line AB = √10

Also,

Line BC = √[(2-8)²+(-3-5)²]

Line BC = √(-6²+(-8)²)

Line BC = √(36+64)

Line BC = √100

Line BC = 10 unit.

Finally,

Line AC = √[(5-2)²+(6+3)²]

Line AC = √(3²+9²)

Line AC = √(9+81)

Line AC = √90.

From the above length of the line in the triangle,

Line AC, Line BC and Line AC are pythagoras triple.

I.e

10² = (√10)²+(√90)²

100 = 10+90

100 = 100.

Note only a a right angle triangle obeys pythagoras theorem.

HELP I WILL GIVE BRAINLIEST IF SOMEONE HELPS ME WITH THESE 2 PROBLEMS!!

Answers

Answer:

two 2.2 boxes, and one 1.6 box

Step-by-step explanation:

PLZZZZ GOVE BRAINLIEST!!!

(Relative frequency) Attachment. WILL MARK BRAINLIEST AND 5 STARS!

Answers

It is 32 percent.

Because the total number of students is 145 and the amount that enjoys the outdoors is 47. 47/145=32%

Find the circumference and area of the circle to the nearest hundredth. Use 3.14 for π. Round to the nearest hundredth if necessary.

56 is the cm.

Answers

Answer:

56÷2=28

Circumference=2×3.142×r

c= 2×3.142×28=175.952

hundredth =175.95cm

Area=3.142×r^2

A= 3.142×28^2=2463.328

hundredth =2463.33cm^2

Write an equivalent expression for -5(8-2x)

Answers

-40-10x (I think, sry if it’s wrong)

whoops sorry, no question here

Answers

Answer:

oooooooooook????

15,650 mm= _______ cm

what goes in the blank?
how do I show my work?
correct=brainliest

Answers

1,565 cm is the answer and belongs in the blank! :)
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