Carlos is building a game room adjacent to his living room so that both rooms will have the same width. he created the model shown below. (x+4) (2x+6) (x-4)Part A: write an expression for the total area of both rooms Part B: if the length of the game room is 12 feet, what is the total square footage of the two rooms??

 Carlos Is Building A Game Room Adjacent To His Living Room So That Both Rooms Will Have The Same Width.

Answers

Answer 1

Answer:

1,000 sq ft

Step-by-step explanation:

Part A:

To find the total area of both rooms (length x width):

(x+4)(2x+6+x-4)

(x+4)(2x+2+x)

2x²+2x+x²+8x+8+4x

= 3x²+14x+8

Part B:

If the length of the game room = 12 ft, we can solve for x:

Game room = (x-4)=12; therefore x=16

Plug 16 in for x in the equation from Part A:

3x²+14x+8 becomes 3(16)²+14(16)+8

= 1,000 sq ft


Related Questions

A bakery sells 3 muffins for every 5 pizza pies.The bakery sold a total of 24 muffins and pizzas pies together.how many of each kind did the bakery sell?

Answers

Number of muffins sold=9

and number of pizza pies sold=15

What is 5^-2=5^x+4 and what is this equation and the answer because I am desperate because I need help

Answers

Answer:

-6

Step-by-step explanation:

5^-2=5^x+4

-2=x+4

-2-4=x

-6=x

Zoey is 362 meters below sea level while visiting a part of Israel. She descends 71 meters to visit the Dead Sea. Which integer represents the elevation, in meters, of the Dead Sea? –433 –391 –311 –291

Answers

Answer:  -443

Step-by-step explanation:

If she is 362  meters below see level it means she is already down which means the  he is -362 . Then she descends 71 meters which means it is also -71 because descending is going down.

Add the two numbers to find her elevation

-362 + (-71) = -433

Answer:-433

Step-by-step explanation:

x + y = 8 and y = -x - 1

Answers

Answer:

It is given to us that

y =-x-1

put this value in the given equation we will get ouelr answer

x + y =8

x + -x -1 =8

sorry mate we doesn't get our answer because x will be cancelled here

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Answers

the solutions would be x=8 and x=2

As part of a social experiment, Joey sent an email to 2 friends. The email asks the person reading it to forward it to 3 people. The table shows the distribution of the email, assuming that everyone who recelves the email forwards it to 3 new people. Number of iterations Number of People Recelving the Email.​

Answers

Answer:

I can not see the table, so i will answer this in a general way.

Ok, let's see a rough image of what is happening.

First, Joey sends the email to 2 friends.

So first, 2 people have the email

Then each friend sends the email to 3 new people.

So now the number of people that has the email is:

2 + 2*3 = 2 + 6.

Now, the 6 new people that received the email send it to other 3 new people each, so now the number of people that got the email is:

2 + 6 + 6*3

and so on.

We already can see the pattern here, we can write this as:

∑aₙ

Where aₙ = 3*aₙ₋₁

and a₀ = 2.

So with that information, we can find the number of iterations, n, for a given number of people that received the email A.

A = ∑aₙ = (a₀ + a₁ + a₂ + ....) = (2 + 2*3 + 2*3*3 + ...)

Answer: The answer is C

What was New Harmony, Indiana?

a successful factory town
a community of escaped enslaved persons
a model utopian community
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Answers

Answer:

C

a model utopian community

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

edge 2022

What is the value of x in this expression:
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Answers

Answer: x=12

Step-by-step explanation: its hard to explain, sry, but x=12 is the CORRECT answer

Write the equation of the absolute value function.
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Answers

Answer:

two is two units away from zero

Step-by-step explanation:

well if its not explanatory enough you can just ask to explain it to ya more.

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Answers

Answer:

n = 4 - [tex]\frac{5}{19}[/tex]t

Step-by-step explanation:

n determines the amount of water in the bucket, it's basically the total, so that's why it's there. 4 is the number of gallons of water that you started with and 5/19 is the number of gallons that are draining per minute.  t is the amount of time or minutes that have gone by. So, that's why the equation is   n = 4 -[tex]\frac{5}{19}[/tex]t

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Answers

1. It’s the max at -2,4
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IS 0.32 x 102 WRITTEN IN SCIENTIFIC NOTATION? JUSTIFY YOUR ANSWER.

Answers

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Throughout this activity, the scale factor n has been a positive value however a scale factor for dilutions can also be negative when I set of coordinates on a pre-image is multiplied by -n instead of n the coordinates of the image rotate about the center of dilation by 180° consider all the potential intervals of an end table enter information in the table to indicate whether the scale factor produces an in large meant I will touching or no size church also indicate whether the image rotors 180° about the center of dilation the first one has been done for you

Answers

Answer:

This is the sample answer given after you complete the question on edmentum

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Answers

Answer:

x = {- 8, 2}

Step-by-step explanation:

Since, B is between line AC.

[tex]\therefore AB + BC = AC\\

\therefore x^2 - 3x + 9x = 16\\

\therefore x^2 - 3x + 9x - 16=0\\

\therefore x^2 + 6x - 16=0\\

\therefore x^2 + 8x - 2x- 16=0\\

\therefore x(x +8) - 2(x + 8)=0\\

\therefore (x+8)(x-2)=0\\

\therefore x + 8 = 0\: or \: x-2=0\\

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\huge \orange {\boxed {\therefore x = \{-8,\: 2\}}} [/tex]

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Answers

Answer:

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Step-by-step explanation:

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Answers

i this will help you

Answer:

Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

Definitions:

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Ex: 4x

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation:

Answer:

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Answers

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Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

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Answers

Answer:

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Answers

Answer:

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Step-by-step explanation:

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