A rectangle has a height of x+ 9 and a width of x^2 + 2x
Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.
X^2
+
2x
X
+
9

Answers

Answer 1

Answer:

x³ + 11x² + 18x

Step-by-step explanation:

(x² + 2x)(x + 9)

Step 1: Distribute x²+2x into x + 9.

x³ + 2x² + 9x² + 18x

Step 2: Combine like terms.

x³ + 11x² + 18x

The area of this rectangle is x³ + 11x² + 18x.

Answer 2

Answer:

Area= height x width = (x + 9) (x^2 + 2x) = x^3 + 2x^2 + 9x^2 + 18x = x^3 + 11 x^2 + 18x

Step-by-step explanation:

The height is (x + 9) and the width is (x^2 + 2x) and the the area of the rectangle is equal to: Area= height x width = (x + 9) (x^2 + 2x) = x^3 + 2x^2 + 9x^2 + 18x = x^3 + 11 x^2 + 18x


Related Questions

help me pls, if p ll q, then what is the measure of ACB

Answers

It is equal to 151 degrees. The two equations given are equal due to the composite thingy. Then once you find x, you plug it back in to get 29 degrees. 180 - 29 = 151

Luisa is saving money to buy a new laptop computer that costs $460 . She started with $110 and every month she saves $25 . Her savings can be modeled by the function s (x) =25x+110

A : graph the equation below make sure you label each axis with the appropriate unit of measure

B. Write a statement using function notation that shows when Luisa will reach her goal

C: use words to describe the symbolic statement

Can you guys please help me I’ll mark you as a brainliest . Please help just this question please

Answers

Answer:

A: *Graph shown in image*

B: She will reach her goal when the x is 14 (14,460) with y being 460 (or the goal) giving you the equation [tex]y = \frac{50}{2} x + 110[/tex] going up 50 and going right 2 with x being 7 meaning you would have to go up 50 and right 2, seven times to reach 460.

Step-by-step explanation:

A: From your previous question you asked 14 hours ago with a screenshot, you did your graph wrong so for YOU make your graph look like the second image. (Plot the point 0,110 for the y intercept and plot -4.4,0 for the x line)

B: Lot's of explaining but you will get it once you add it to your own graph and go with the flow. Kind of like slope intercept form.

For C: you can answer in your own words since I gave you the priority answer(s)

In the given figure find out the value of x and y ?​

Answers

Given info:

all sides are equal in the given triangle

It is an equilateral triangle all angles are equal and each angle is equal to 60°

Given angles are 3y° and 2x°

→ 3y° = 2x° = 60°

→ 3y° = 60° and 2x° = 60°

→ y° = 60°/3 and x° = 60°/2

→ y° = 20° and x° = 30°

Therefore, x° = 30° and y° = 20°

Answer:-

The values of x = 30° and y = 20°

Key Knowledge:-

→ If all sides are equal in a triangle then it is an equilateral triangle

In an equilateral triangle,

→ all sides are equal.

→ all angles are equal.

→ all angles are equal to 60°

Hope this helps!!

A pipe can pump 1000 gallons of water in 4 hours.

How long would it take the pipe to fill a 2500 gallon pool?

Answers

10 hours

Step-by-step explanation:

4 hours 1000 gallon

4 hours 1000 gallon

2000 gallon

500 gallon 2 hours

Drew and Danielle are sightseeing for the day. Between the two of them they take 118 pictures. If Drew takes 14 more than three times as many pictures as Danielle, how many pictures for each friend take?

Answers

Answer:

Drew = 92 pictures, Danielle = 26 pictures

Step-by-step explanation:

Amount of pictures Drew has = x

Amount of pictures Danielle has = y

First make a system of equations:

x + y = 118

x = 3y + 14

Then solve with substitution:

(3y + 14) + y = 118

4y = 104

y = 26

x + 26 = 118

x = 92

What is the slope of the line in the graph? PLZ HELP ​

Answers

Answer:-3/4

Step-by-step explanation: Raises 3 units, goes to the left 4 units.

Answer:

-3/4

Step-by-step explanation:

Slope is rise over run. The line is negative as the line is falling, not rising. From one point to the next it falls 3, or rises -3. It runs 4, therefore the rise/run, or slope is -3/4.

5=9+w over negative 3

Answers

Answer:

-4

Step-by-step explanation:

Find the expression that is equivalent to:
x2 - 16x + 64

a (x – 8)(x + 8)
b (x + 8)(x + 8)
c (x + 8)^2
d (x – 8)^2

Answers

Answer:

D. (x – 8)^2

Step-by-Step Explanation:

x2 - 16x + 64:

Step 1: Use the sum-product pattern.

[tex]x^{2} -16x+64\\x^{2} -8x-8x+64[/tex]

Step 2: Common factor from the two pairs.

[tex]x^{2} -8x-8x+64\\x(x-8)-8(x-8)[/tex]

Step 3: Rewrite in factored form.

[tex]x(x-8)-8(x-8)\\(x-8)(x-8)[/tex]

Step 4: Combine to a square.

[tex](x-8)(x-8)\\(x-8)^{2}[/tex]

Triangle XYZ has points X = (–4,4), Y = (0,1), and Z = (4,4). Triangle X'Y'Z' has points X ’= (–5,–4), Y’ = (–1,–1), Z’ = (3,–4). What is the transformation of XYZ to X'Y'Z'?

Answers

so they moved down one and reflected over the y axis

a whole pizza is cut into twelfiths. if dexter eats 1/2 of the pizza and landry eats 1/3 of the pizza then what fraction of the pizza remains

Answers

Answer:

1/6

Step-by-step explanation:

Start be rewriting your fractions with a common denominator

Multiply [tex]\frac{1}{2}[/tex] by [tex]\frac{6}{6}[/tex] to get [tex]\frac{6}{12}[/tex]

Multiply [tex]\frac{1}{3}[/tex] by [tex]\frac{4}{4}[/tex] to get [tex]\frac{4}{12}[/tex]

These are the fractions of the pizza eaten in twelfths like the pizza is cut into.

Now subtract from [tex]\frac{12}{12}[/tex] which is the whole pizza to find the pizza remaining

[tex]\frac{12}{12} -\frac{6}{12}-\frac{4}{12} =\frac{12-6-4}{12} =\frac{2}{12} =\frac{1}{6}[/tex]

It cost Irene $60 to fill her car’s gas tank with 15 gallons of gas. Select all the rates that are equivalent to Irene's cost of gas.

Answers

Answer:

Where are the cost?

Step-by-step explanation:

What is the probability that Zeke gets a sum of 7

Answers

Answer:  

17

%

Explanation:

A sum of 7 can be achieved the following ways.

5 and 2

2 and 5

4 and 3

3 and 4

6 and 1

1 and 6

There are

6/2

=

3/6

possible outcomes and 6 ways to obtain the sum of 7 so

6 3/6

17

%

Explain how you could buy the total number of points the team has all together

Answers

Answer:

Just count them

Step-by-step explanation:

Write 3 different factorizations of the number 16

Answers

Answer:

1x16

2x8

4x4

Step-by-step explanation:

Bus X travels 40 miles per hour for 2 hours; Bus Y travels 60 miles per hour for 1 1/2 hours. What is the difference, in miles, between the number of miles traveled by Bus X and the number of miles traveled by Bus Y?

Answers

Answer:

it should be 250m

Step-by-step explanation:

Bus X travels 40m for 2h which gives you 80m and Bus Y travels 60m for 11/2h which gives you 330m so the difference in miles is 250m

Find the missing side of each triangle.

A) 10 cm
C) 17.1 cm
E) 5.8 cm
B) 11.4 cm
D) 13.8 cm

Answers

Answer:

The choice B) 11.4

Step-by-step explanation:

[tex] {x}^{2} + {(5.5)}^{2} = {(12.7)}^{2} \\ {x}^{2} + 30.25 = 161.29 \\ {x}^{2} = 13104 \\ x = 11.4[/tex]

By using Pythagoras theorem :

[tex] {x}^{2} = (12.7) {}^{2} - (5.5)x {}^{2} [/tex]

[tex] {x}^{2} = 161.29 - 30.25[/tex]

[tex] {x}^{2} =131.04[/tex]

[tex]x = \sqrt{131.04} [/tex]

[tex]x = 11.4[/tex]

Correct choice is B

The slope of the line is 0. It passes through the point (-3,4). Identify two other points on the line. Justify you answer

Answers

Answer:

Two other points: (2, 4) (6, 4)

Step-by-step explanation:

A line with a slope = 0 is a horizontal line [with a y-intercept of (0, b)], given by the linear equation, y = 4.  This means that the y-coordinate will always equal to 4, regardless of its corresponding x-coordinate. Basically, we could choose any x-coordinate to pair with the y-coordinate of 4.

I chose the ordered pairs, (2, 4) and (6, 4).

Attached is a screenshot of the graphed linear equation, y = 4.        

solve for t:
t-3(4-t)=-24​

Answers

Answer:

t = -3

Steps:

4t - 12 = -24

4t - 12 + 12 = -24 + 12

4t = -12

4t/4 = -12/4

t = -3

find the perimeter of the shape below if x=3 and y=10

Answers

Answer:

the same time as a great day happy independence day

Donna bought 5 bags of dog treats for $10.90. What is the cost per bag of dog treats? A. $0.46 B. $2.73 C. $15.90 D. $2.18

Answers

Answer: $2.18

Step-by-step explanation:

 You are trying to solve for the cost of one bag or unit cost. Take

  the amount of money spent and divide it by the number of bags

  purchased.

  10.90 ÷ 5 = 2.18

What is M less than A

Answers

I think you mean to ask what is the measure of angle A.

You can find the third angle of the bottom triangle by 180 - 43 - 35 = 102

The vertical angle above it is also 102.

Then, to find the measure of angle A, you do 180 - 102 - 18 = 60

So, the measure of angle A is 60 degrees.

Answer:

60°

Step-by-step explanation:

Since Angle E is same for both triangles, as vertical angles, the sum of the other two interior angles should be same.

Then we have:

m∠A + m∠B = mC + m∠Dm∠A + 18 = 43 + 35m∠A + 18 = 78m∠A = 78 - 18m∠A = 60

i don't understand this question can someone help me with this please, please explain!!

Answers

Answer:

13.5%

Step-by-step explanation:

could someone please help answer this, no spam please, will give brainliest thank you!, (homework help)

Answers

Answer:

The answer would be B < - 1

sarah is taking out a $24,400, 4 year new car loan with an apr of 2.88%. what is the finance charge for this loan? round to the nearest $100

Answers

$700

this isn’t factual tho
i took 24,400 and multiplied it by 2.88% and got 702.72 and rounded up to 700

The finance charge for the car loan Sarah took rounded to the nearest 100 dollars is 700 dollars.

What is the percentage?

A percentage is a value per hundredth. Percentages can be converted in decimals by dividing the percentage value by 100 it can also be simplified to keep it in a fraction form.

Given Sarah is taking a loan of 24,400 dollars for a new car.

Also given is the finance charge for this car loan is 2.88%.

We know 2.88% of 24400 dollars is,

= (2.88/100)×24400 dollars.

= 0.0288×24400 dollars.

= 702.72 dollars.

Which rounded to the nearest 100 dollars is 700 dollars.

learn more about percentage here :

https://brainly.com/question/24159063

#SPJ2

Isosceles triangles may be obtuse or acute but never right.
A. True
B. False

Answers

This is false, as ther could be a triangle with angles 62, 59 and 59. All angles are acute and it is an isosceles triangle.

(3√81)/(3√24)rationalize the dominator and simplify

Answers

The answer is 3 times squared root of 6 divided by 4

Answer:

3√6/4 or 1.84

Step-by-step explanation:

4/1 = 12/y ​what does y= its on khan academy

Answers

Answer:

3

Step-by-step explanation:

12÷4= 3

1×3=3

4/1=12/3

what is the answer to 1/10 + 1/6

Answers

1/10 + 1/6 = 4/15
4/15 is the answer

Answer:

4/15

which simplifies to :  

0.267

Step-by-step explanation:

Hope this helps :)

pls mark as brainliest :p

And have an amazing day <3

Which of the following is true?

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The Correct choice is :

RT is an altitude of Triangle QRS

Hi I’m suppose to write an equation and solve for it. I can’t figure out what I’m doing, it’s a straight angle. Thank you if you figure this out!

Answers

Answer:

Equation: 4x+28= 180

x= 38

Step-by-step explanation:

To solve, you should start by trying to find "x". To do this you can use the expression "4x+28= 180"

TO solve 4x+28= 180, first subtract 28 from both sides:

4x= 152

Then divide by 4;

x= 38

Check your work:

M<1= 38+10 -------> 48

M<2= 114+18 -------> 132

132+48= 180

Hope this helps!

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