The length of a rectangle is (2x + 1). The width of the rectangle (x2+ 2x - 1). Which expression represents the area of the rectangle?

Answers

Answer 1

Answer:

Area = 2x³ + 5x² - 1

Step-by-step explanation:

Given the length of a rectangle, (2x + 1), and its width of (x² + 2x - 1):

The formula for solving the area of a rectangle is given by:

Area of a rectangle = Length × Width

In order to solve for the area of a rectangle, simply multiply the given length by the width.

length (L) = (2x + 1)

width (W) = (x² + 2x - 1)

A = L × W

A = (2x + 1)(x² + 2x - 1)

Distribute the binomial, (2x + 1), into the trinomial, (x² + 2x - 1):

A = 2x³ + 4x² - 2x + x² + 2x - 1

Combine like terms:

A = 2x³ + 5x² - 1

Therefore, the area of a rectangle is: 2x³ + 5x² - 1.


Related Questions

Filled up gas tank with 24 gallons. He used .06 gal every mile.

Answers

Answer:

are you asking how many miles he can go bc it would be .6 * 24 = 14.4 miles before he runs out

x2-8x+12=0


Someone help me

Answers

[tex]\large\boxed{\tt\:Question}[/tex]

x² - 8x + 12 = 0

Hello meremyj! Here's your answer with explanation.

[tex]\large\boxed{\tt\:Answer\:with\:Explanation}[/tex]

[tex]x ^ { 2 } - 8 x + 12[/tex]

Use the biquadratic formula =》 [tex]x=\frac{-b±\sqrt{\left(-b\right)^{2}-4 ac}}{2}[/tex]

Now,

   b = 8    c = 12    a =  1

Using the biquadratic formula & substituting the values....

[tex]x=\frac{-\left(-8\right)±\sqrt{\left(-8\right)^{2}-4\times 12}}{2} \\x=\frac{-\left(-8\right)±\sqrt{64-4\times 12}}{2} \\x=\frac{-\left(-8\right)±\sqrt{64-48}}{2} \\x=\frac{-\left(-8\right)±\sqrt{16}}{2} \\x=\frac{-\left(-8\right)±4}{2} \\\underline{\underline{x=\frac{8±4}{2}} }[/tex]

Now, solve when  [tex]x=\frac{8+4}{2}[/tex]

[tex]x=\frac{8+4}{2}\\x=\frac{12}{2} \\\boxed{\bf\:x=6 }[/tex]

Now, solve when [tex]x = \frac{8-4}{2}[/tex]

[tex]x = \frac{8-4}{2}\\x = \frac{4}{2}\\\boxed{\bf\:x=2}[/tex]

______________

The value of  x  can be 6 & 2.

______________

Hope it'll help you!

Lucäžž

Please help and provide work please
Complete the proof: ​

Answers

Explanation:

Statement . . . . Reason

1. AE ≅ CE, AB  CD, E is the midpoint of BD . . . . Given

2. BE ≅ DE . . . . definition of midpoint

3. ΔEAB ≅ ΔECD . . . . SSS congruence postulate

pls help!! will mark as brainliest​

Answers

Answers:

B:

1. 2

2. 3

3. 1

4. 4

5. 2

C (Leading term):

1. 3x

2. x^4

3. 7

4. x^2

5. 2x^2

C (Degress of the Polynomial):

1. 1

2. 4

3. 0

4. 2

5. 2

For f(x) = -5x-2, evaluate f(5)

Answers

Answer:

x=5

f(x)= -5x-2

f(5)= -5(5)-2

f(5)= -25-2

f(5) = -27

Answer:

See below:

Step-by-step explanation:

So we know that [tex]f(x)=-5x-2[/tex] therefore to find out what [tex]f(5)[/tex] is we can insert/replace [tex]x[/tex] with 5 due to it being a function, after we do that, we get this:

[tex]f(5)=-5(5)-2[/tex]

Using algebra, we an find out that [tex]f(5)=-27[/tex]

Cheers!

What is the value of x in the triangle?

Answers

[tex]cosec18°= \frac{perpendicular}{base} \\ cosec18°= \frac{25}{x} \\ \\ \ \: since: cosec18°=0.9511 \\ \\ 0.9511 = \frac{25}{x} \\ x = \frac{25}{0.9} = 26[/tex]

i need answers thank you

Answers

Answer:

A

Step-by-step explanation:

Two sides of a triangle are 6 cm and 8 cm long. What can be the length of its third side.(Write all the possible lengths)
explain.............................................................

Answers

Answer:

Let the. length of 3rd side of a ∆ be x.

x>(8–6) cms. and. x <(8+6) cms.

or. x > 2 cms. and. x < 14 cms

or. 2 cms < x < 14 cm

Step-by-step explanation:

find the answer here

What is the volume of this triangular prism?

Answers

Answer:

576 cm squared

Step-by-step explanation:

Lilly wants to buy a tablet that costs $88.00. Her dad said that he would pay 25% of the cost. How much money will her father contribute towards the tablet? What is the proportion?

Answers

Answer:

22 dollars

Step-by-step explanation

If you multiply 88* the percent you will get 22. That means that Lily's dad will contribute 22 dollars to buying her tablet.

Under her cell phone plan, Rajani pays a flat cost of $65 per month and $5 per gigabyte. She wants to keep her bill under $85 per month. Write and solve an inequality which can be used to determine gg, the number of gigabytes Rajani can use while staying within her budget. need help with this

Answers

Answer: $85 [tex]\leq[/tex] $65 + ($5)*gg

Step-by-step explanation:

$85 [tex]\leq[/tex] $65 + ($5)*gg

The values are in $/month, but we'll assume 1 month is all we need to answer the question of what it would take to remain below $85/month.  The fixed ciost, $65/month, is added to the gigabyte (gg) usage of $5/gg.  (I'd prefer gb for gigabyte, but I'll stick with gg).

Together, they should be [tex]\leq[/tex] $85/month, thus we get:

$85 [tex]\leq[/tex] $65 + ($5)*gg

Help will give brainiest as long as you explain and theres more than 2 people who answered.

Answers

Answer:

x = 117º

Step-by-step explanation:

Supplement to 117 is

180 - 117 = 63

The angle below line BC is marked as congruent to the 63º angle and is therefor also 63º

Therefor x is the supplement to 63º

180 - 63 = 117º

x = 117º

Hello kind people I will be handing A brain-list
The Chang family is on their way home from a cross-country road trip. Their starting destination is 2,280 miles from their home. The Chang family can expect to decrease the distance from their home by 60 miles per hour.

Part A: Based on the information provided, write the function d(t) that represents the family's distance (in miles), d, from home after t hours of driving.

Part B: If rate at which the Chang family travels home continues at the same rate, determine the value of d(15) and describe what it means in reference to the situation.

Answers

Answer: d is 15 hrs

Step-by-step explanation:

Just substitute 15 in for t in 2280-60t and evaluate to get D(15)

D(15) is how many miles left to drive to get home after 15 hours

I don't know if this is 100% correct but I tried

Twenty-five friends share equally the cost of buying a $200 gift. How much money does each person contribute?

Answers

Answer:

Each friend contributes 8 dollars

Step-by-step explanation:

200 ÷ 25 = 8 dollars

so each friend contributes 8 dollars

Answer:

Each person contributes $8

Step-by-step explanation:

200/25= 8

Which expression is equal to 13/14?
-13/14
-13-14
-14-13
-14/13

Answers

Answer:

13/ 14 the first one

Step-by-step explanation:

Graph the equation 3x-5y=15

Answers

Answer:

sorry don't know but thanks for the coins bro

Step-by-step explanation:

because im broke and need answers to man i going to use the coin for good thanks again find somebody else

Answer:

5y= 3x-15

This is the equation of the graph in slope intercept form: y=3/5x-3

Here is the graph for it:

Ahhhhhh please help me!!

Answers

Answer: chrome

Step-by-step explanation:

new tab then search it up

count the following atoms
NEED ANSWER ASAP​

Answers

Answer:

30

Step-by-step explanation:

There are 5 Zn atoms, 5 S atoms and 20 O atoms. In total, you have 30 atoms.

Answer:

30

Step-by-step explanation:

insane in the membrane​

Answers

hahaha hahaha crazy x

10 points to whoever can answer this!

Answers

Answer:

A

Step-by-step explanation:

The answer is A, because with absoulute value, the negative number will become positive. So positive 16 is obviously a bigger number than positive 4.

Have a great day friend! :D

the height of mont blanc is 4810 m correct to the nearest 10 meters. what is its least possible height

Answers

Subtraction is a mathematical operation that reflects the removal of things from a collection. The least possible height of the mont blanc is 4800 meters.

What is subtraction?

Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.

Given the height of mont blanc is 4810 m correct to the nearest 10 meters. Therefore, the least possible height of the mont blanc can be written as,

Least height = 4810m - 10m = 4,800 meters

Hence, the least possible height of the mont blanc is 4800 meters.

Learn more about Subtraction:

https://brainly.com/question/1927340

#SPJ1

Select the quadrilateral for which the diagonal is a line of symmetry.
A. parallelogram
B. square
C. trapezoid
D. isosceles trapezoid

Answers

Answer:

b

Step-by-step explanation:

cut it in half, boom equal

Answer:

b

Step-by-step explanation:

If , a = x + 2y and b = x - 2y , find ( 2a + b ) - ( a - 2b ) , in terms of x and y .

don't give unwanted ans to get the points ~
stay away if u don't know the ans ( no spams and plagiarism )
well explained ans needed ~

Thanks !! ~ ​

Answers

question ;

if , a = x + 2y and b = x - 2y , find ( 2a + b ) - ( a - 2b ) , in terms of x and y .

answer with explanation ;

by substituting the value of a and b

2a + b

= 2 ( x + 2y ) + ( x - 2y ) = 2x + 4y + 1x - 2y = 2x + 1x + 4y - 2y = 3x + 2y

a - 2b

= ( x + 2y ) - 2 ( x - 2y ) = x + 2y - 2x + 4y = -1 + 6y

i hope my answer helps !!

Answer:

4x - 4y

Step-by-step explanation:

Simplify the expression:

( 2a + b ) - ( a - 2b ) =2a + b - a + 2b = a + 3b

Substitute values:

a + 3b = x + 2y + 3(x - 2y) = x + 2y + 3x - 6y = 4x - 4y

solve pls brainliest

Answers

The first box is 3 and the last 2 are 4/9

help me with this please!

Answers

Answer is 4u + 36
Have a great day/night
your answer what would be 9+4u because distributive property is taking whatever is outside of parentheses and distributing it to each of the numbers inside of the parentheses so after you multiply 4×9 and 4xu then you get 9+4u as your answer

hope this helps:)))

A package of 4 pairs of insulated gloves costs $21.56. What is the unit price of the pairs of gloves?

Answers

Answer:

Your answer is $5.39.

Step-by-step explanation:

There are 4 pairs of gloves. The unit price is only for a single pair of gloves, so divide the total cost by the pairs of gloves to get your answer: 21.56 ÷ 4 = 5.39. (Also, since we are talking about money, there would be a dollar sign next to 5.39: $5.39)

Identify the sampling method used:

A random sample of 10 people from each of three different age categories were selected and asked how they would rate a new television show.

Answers

Using sampling concepts, it is found that a Stratified sample was used.

Samples are classified as:

Convenient: Drawn from a conveniently available pool.Random: All the options into a hat and drawn some of them.Systematic: Every kth element is taken.  Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.Stratified: Also divides the population into groups. However, only some elements of each group are surveyed.

In this problem, the population is divided into groups, according to the three different age categories, and then 10 people from each category is selected(that is, not all members), hence it is a stratified sample.

A similar problem is given at https://brainly.com/question/23106151

cual es el.producto 1/2 y 5/6​

Answers

Answer:

5/12

Step-by-step explanation:

1/2 × 5/6 = 5/12

Step-by-step explanation:

can you write it in english

Help it’s confusing please

Answers

Answer:

She had $150 in the beginning before she bought the swimming items.

Step-by-step explanation:

You have the right numbers for the equation but you also times the money she had in total.

The equation is x-3(44)=18

44 is the total for one daughter and you times that by three to get for three duaghters.

Then you multiply -3 and 44 which is -132.

Which would be x-132=18

Now you would move -132 to the other side which would be +132 →x=18+132

x=150

find the measure of angle Y

Answers

9514 1404 393

Answer:

  y = 40°

Step-by-step explanation:

The diagonal BD divides angle D into two equal parts:

  y = 40°

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