Para ampliar uma sala quadrada, foram acrescentados 4 metros em seu comprimento e 2 metros em sua largura, conforme a figura. Qual polinômio apresenta a área dessa sala após a ampliação? *


a) x² + 4x + 8
b) x² + 6x + 8
c) x² + 2x + 8
d) x² + 8
e) 2x + 6

Answers

Answer 1

Answer:

b) [tex]x^2 + 6x + 8[/tex]

Step-by-step explanation:

Para ampliar la habitación cuadrada, se agregaron 4 metros de largo y 2 metros de ancho, como se muestra en la figura.

Deje que la longitud y el ancho de la habitación antes de la expansión sean x.

La nueva longitud de la sala es (x + 4).

El nuevo ancho de la sala es (x + 2).

La nueva área de la sala será:

[tex](x + 4)(x + 2)\\x^2 + 2x + 4x + 8\\x^2 + 6x + 8\\\\[/tex]

Esa es la nueva área de la habitación.


Related Questions

This probability distribution shows the typical distribution of pitches thrown to a batter in a given at bat in a baseball game. Find the probability that the pitcher will throw fewer than 3 pitches to a batter.

Answers

Answer:

0.35

Step-by-step explanation:

This probability distribution is shown below:

Pitch                   1            2        3          4         5

Frequency         15         20      40        15        10

Probability         0.15     0.2      0.4      0.15      0.1

The probability that the pitcher will throw fewer than 3 pitches to a batter = P(X < 3)

X  is the number of pitches thrown. Therefore:

P(X < 3) = P(X = 1) or P(X = 2)

The additive rule pf probability states that if two events X and Y are dependent events, the probability of X or Y occurring is the sum of their individual probability.

P(X < 3) = P(X = 1) or P(X = 2) = P(X = 1) + P(X = 2) = 0.15 + 0.2 = 0.35

The probability that the pitcher will throw fewer than 3 pitches to a batter = 0.35

Answer:

.35

Step-by-step explanation:

Work out m and c for the line: y = 9 − x

Answers

Answer:

m = -1

c = 9

Step-by-step explanation:

m is slope, which is the coefficient of x

c is the y-int, which is the constant

What is the length of segment GH?

Answers

Answer:

4√5

Step-by-step explanation:

Distance formula: [tex]d = \sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]

Coordinates given:

H(8, 1)

G(0, -3)

d = [tex]\sqrt{(8-0)^2 + (1+3)^2}[/tex] = 4√5

Answer:

StartRoot 80 EndRoot

80 square root is the answer

Step-by-step explanation:

|GH|² = (8 - 0)² + (1 - (-3))²

|GH|² = 64 + 16

|GH|² = 80

GH = sqrt(80)

pls mark as brainliest

What is f(x) + f(x) + f(x)?

Answers

Answer:

3fx

Step-by-step explanation:

f(x)+f(x)+f(x)

remove parenthesis: (a)=a

add similar elements: fx+fx+fx

=3fx

Answer: for edge

3f(x)

3x2

12

HELP ME ASAP! PLS!!!!
Which triangle’s unknown side length measures StartRoot 53 EndRoot units?

(A)A right triangle with side length of 6 and hypotenuse of StartRoot 91 EndRoot.
(B)A right triangle with side length of StartRoot 47 EndRoot and hypotenuse of 10.
(C)A right triangle with side length of StartRoot 19 EndRoot and hypotenuse of StartRoot 34 EndRoot.
(D)A right triangle with side length StartRoot 73 EndRoot and hypotenuse 20.

Answers

Answer:

(B) A right triangle with side length of StartRoot 47 EndRoot and hypotenuse of 10

Step-by-step explanation:

I just took the quiz on edge

Answer:

B

Step-by-step explanation:

What is the point-slope form of a line that has a slope of One-half and passes through point (–7, 2)? PLS HELP

Answers

Answer:

y -2= 1/2(x+7)

Step-by-step explanation:

The point slope form of a line is

y-y1 = m(x-x1)

where m is the slope and (x1,y1) is a point on the line

y - 2 = 1/2(x - -7)

y -2= 1/2(x+7)

Answer:

D)  y - 2 = 1/2(x - (-7))

Step-by-step explanation:

I just took the quiz on edge

Need help with this didn’t understand it

Answers

Answer:

Ok, the solution to the first one. See below.

Step-by-step explanation:

[tex]1>3-d\\\\\mathrm{Add\:}d\mathrm{\:to\:both\:sides}\\\\1+d>3-d+d\\\\\mathrm{Simplify:}\\\\1+d>3\\\\\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\\\1+d-1>3-1\\\\\mathrm{Simplify:}\\\\d>2[/tex]

See attachment below.

Best Regards!

help asap. is this b or d. im not really sure so i put d. ​

Answers

Answer:

I'm not 100% sure but I'm pretty sure its 'D'

Answer:

the answer is b

Step-by-step explanation:

What is the y intercept of y=-3x-2? Step by step explanation please help me

Answers

Answer:

Step-by-step explanation:

The slope is 3 and the y-intercept is 2 or (0, 2)

Answer:

The y-intercept of the equation is -2.

Step-by-step explanation:

This equation is in slope-intercept form (y = mx + b). b represents the y-intercept, and m represents the slope.

Read the following statement: x + 6 = 6 + x. This statement demonstrates:

Answers

Answer:

See below.

Step-by-step explanation:

This statement demonstrates the commutative property (of addition). This is because even though the order is switched, the result will remain unchanged and they are equal to each other.

Answer:

Commutative Property of addition

Step-by-step explanation:

This statement demonstrates the commutative property (of addition). means that no. After the order of your calculation, the end result will always be the same.

This is only applicable to addition and multiplication.

Hope this helps

find the area of the triangle that has a base of 5 inches in a height of 3 3/4 inches

Answers

Answer: 75/8= 9 3/8

Step-by-step explanation: Area = 1/2 X b X h

1/2 X 5 X 15/4 =

75/8=9 3/8

le
The graph shows two ratios from the table.
ty
9
Celery (x)
2
4
6
8
7
6
Carrots (y)
3
6
?
Carrots
5
4
3
Predict how many carrots you will need for the recipe if
you use 6 stalks of celery.
2
carrots
1
2 3
4 5 6 7 8 9 10
Celery

Answers

Answer:

9 carrots

Explanation:

There are different ways to solve these.

The first one is identify the pattern of the graph. You can see that the slope has 3 rises up and 2 runs to the right. So follow that point and you can see that the next coordinate is (6,9).

The second way is identify the pattern of the table. As you can see, the pattern goes like this: [tex]\frac{2}{3} ,\frac{4}{6} ,\frac{6}{y}[/tex]

2/3 = 2/3

4/6 = 2/3

6/y = 2/3

Solve the last one algebraically (cross-multiply first):

6/y = 2/3

2y = 18

y = 18 ÷ 2

y = 9

6/9 = 2/3 (correct)

Answer:

9 carrots

Step-by-step

Who want 20 points answer and it gotta be right

Answers

3 to the power of 14

Step-by-step explanation:

you need to add the exponents together. When you multiply exponents you actually add them.

so [tex]3^{14}[/tex] is your answer.

or 4783969 if you solve the whole thing

i hope this helps

Answer:

3 to the power of 14

Step-by-step explanation:

what is the area of this title ?

Answers

Answer:

12 in^2

Step-by-step explanation:

A = l*w

   = 2in * 6 in

  = 12 in^2

Answer:

Area = 12 in.²

Step-by-step explanation:

Area = length × width

Where w = 2 and L = 6

So,

Area = 2 × 6

Area = 12 in.²

In the diagram, angle OLM is twice as large as angle PON.
What is the size of angle OLM?

Answers

Answer:

112°

Step-by-step explanation:

∠OLM= 2x, ∠PON= x

∠LOK= x

∠OKL= 180-124= 56

∠OLM= ∠OKL+∠LOK

x+56°= 2x

x= 56°

2x= 112°

Don wants to buy 5 baseballs. He has $20. What is the most each baseball can cost?

Answers

Answer:

4 dollars is the highest

Answer:4 Is the highest each baseball can cost

Step-by-step explanation: He has $20 and wants to buy 5 baseballs. This leads the equation to be 20/5. Which, after solving the equation makes the highest cost of each ball $4

Work out m and c for the line: y = 8 x

Answers

Answer:

m = 8 and c = 0

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 8x ← is in slope- intercept form, that is y = 8x + 0

with m = 8 and c = 0

5 > 2p + 1
The first answer is p=2 what is the other answer?

Answers

Answer:

Let's solve the inequality.

5 > 2p + 1

4 > 2p

2 > p

Some answers are p = 1, p = 0, p = -1, etc.

If f(x) = 2x, then f -1(x) =
0-2x
O 12x
OX-2

Answers

Answer:

What am I supposed to do

Step-by-step explanation:

-2x
f(x)=2x
f-1(x)=2x*-1=-2x

Q6) Renee buys 5kg of sweets to sell. She pays £10 for the sweets. Renee puts all the sweets into bags. She puts 250g of sweets into each bag. She sells each bag of sweets for 65p. Renee sells all the bags of sweets. Work out her percentage profit.

Answers

Answer:

30% percent profit

Step-by-step explanation:

100 pence in a pound.

1000 grams in a kilogram.

She bought 5000g of sweets.

She pays 10×100=1000 pence.

She put them into 5000÷250=20 bags.

She sells the bags for 65 pence each.

She sells them all for 20×65=1300 pence.

She gets a profit of 300 pence or 3 pounds.

She gets a percent profit of 30%.

PLEASE HELP AS SOON AS POSSIBLE !!

Answers

Answer:

D

Step-by-step explanation:

(160x243)^1/5=8.27

D also equivalates to 8.27

Answer:

so the answer for that is D.

Step-by-step explanation:

160 X 243= 38880

38880^.2 (or 1/5) = 8.27

D. 5 carrot thing 5= 1.379..x 6= 8.27

12. Find the product: (88a + 80)(8a + 8) ( 1 ) 13. Find the product: (40y + zy)(4y + zy) ( 1 )

Answers

Answer:

(88a+80)(8a+8)

88a(8a+8)+80(8a+8)

704a²+704a+640a+640

704a²+1344a+640

(40y+zy)(4y+zy)

40y(4y+zy)+zy(4y+zy)

160y²+40zy²+4zy²+z²y²

160y²+44zy²+z²y²

Step-by-step explanation:

i hope this will help you

Plz answer this question and I will mark you as brainliest

Answers

Answer: 3/8

Step-by-step explanation:

When you subtract fractions, you want them to have a common denominator.

[tex]\frac{36}{24}-\frac{27}{24} =\frac{9}{24}[/tex]

This answer is correct, but it is not in the simplest term. To get the simplest term, you want to divide the numerator and denominator by the same number.

[tex]\frac{9}{24} =\frac{3}{8}[/tex]

Triangle ABE is similar to triangle ACD. AED and ABC are straight lines. EB and DC are parallel. AE = 5 cm, BC = 4.5 cm, BE = 4 cm, CD = 9 cm The area of quadrilateral BCDE is x cm2 The area of triangle ABE is y cm2 Find an expression for y in terms of x . Give your answer as simply as possible. (3 marks)

Answers

Answer:

y = 16x/65

Step-by-step explanation:

Given:

Triangle ABE is similar to triangle ACD. AED and ABC are straight lines

EB and DC are parallel

The area of quadrilateral BCDE = xcm²

The area of triangle ABE = ycm²

Find attached the diagram from the above information.

In similar triangles, the ratio of their corresponding angles are equal.

Also, the ratio of the area of the two triangles = square of ratio of the corresponding sides of the two triangles.

Area ∆ACD/area of ∆ABE = (DC/EB)²

Area ∆ACD/area of ∆ABE = [(area of quadrilateral BCDE +

area of ∆ABE)]/(area of ∆ABE)

(x+y)/y = (DC/EB)²

(x+y)/y = (9/4)²

x+y = (81/16)y

x = (81/16)y - y

x = (81y - 16y)/16

x = 65y/16

Making y subject of formula

16x = 65y

y = 16x/65

An expression for y in terms of x:

y = 16x/65

An expression for y in terms of x is :

y = 16x/65

Given:

Triangle ABE is similar to triangle ACD. AED and ABC are straight lines . EB and DC are parallel The area of quadrilateral BCDE = xcm² The area of triangle ABE = ycm²

Consider, the image attached:

In similar triangles, the ratio of their corresponding angles are equal.

Also, the ratio of the area of the two triangles = square of ratio of the corresponding sides of the two triangles.

Thus,

Area ∆ACD/area of ∆ABE = (DC/EB)²

Area ∆ACD/area of ∆ABE =

[(area of quadrilateral BCDE + area of ∆ABE)]/(area of ∆ABE)

On substituting the given values:

(x+y)/y = (DC/EB)²

(x+y)/y = (9/4)²

x+y = (81/16)y

x = (81/16)y - y

x = (81y - 16y)/16

x = 65y/16

In terms of y:

16x = 65y  

y = 16x/65

Therefore,  an expression for y in terms of x:  y = 16x/65

Learn more:

brainly.com/question/16654393

The laundry has been sorted into dark clothes and light clothes. The number of dark clothes is three more than twice the number of light clothes. The laundry is 60% dark clothes. Choose the equation that best represents this scenario. x over quantity 2x plus 3 equals 40 over 60 x over quantity 2x plus 3 equals 60 over 40 x over quantity 2x plus 3 equals 40 over 100 x over quantity 2x plus 3 equals 60 over 100

Answers

Answer:

x over quantity 2x plus 3 equals 40 over 60

Step-by-step explanation:

Let light clothes=x

Number of dark clothes = 2x + 3,

Dark clothes are 60% of total clothes

Light clothes=100%-60%

=40%

Light clothes / dark clothes = percentage of light clothes / percentage of dark clothes

x / 2x+3 = 40 / 60

x over quantity 2x plus 3 equals 40 over 60

    Expression for this situation will be [tex]\frac{x}{2x+3}=\frac{60}{40}[/tex].

Let the number of dark cloths = y

And the number of light cloths = x

"The number of dark cloths is three more than twice the number of light cloths".

Therefore, equation will be,

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

"The laundry is 60% dark cloths"

Equation for this statement will be,

y = [tex]\frac{60}{100}(x+y)[/tex]

y = 0.6x + 0.6y

y - 0.6y = 0.6x

0.4y = 0.6x

[tex]\frac{y}{60}=\frac{x}{40}[/tex]

Now substitute the value of y from equation (1),

[tex]\frac{2x+3}{40}=\frac{x}{60}[/tex]

[tex]\frac{2x+3}{x}=\frac{40}{60}[/tex]

[tex]\frac{x}{2x+3}=\frac{60}{40}[/tex]

  Therefore, expression for this situation will be [tex]\frac{x}{2x+3}=\frac{60}{40}[/tex].

Learn more,

https://brainly.com/question/11495

If x varies inversely as p and x=2 when p=4 find the formula connecting them​

Answers

Answer:

x = [tex]\frac{p}{2}[/tex]

Step-by-step explanation:

x ∝ p

x = kp -------(1)

Where k is the constant of proportionality.

Now, x = 2 when p = 4

Putting in the above formula

2 = k(4)

Dividing both sides by 4

k = [tex]\frac{2}{4}[/tex]

=> k = [tex]\frac{1}{2}[/tex]

Putting k in (1)

x = [tex]\frac{p}{2}[/tex]

Now this is the required equation connecting both.

Alejandra has $600 in her checking account she wants to spend part of this money on a computer she wants to have at least 250 left in her checking account after buying the computer that in quantity shownCan be used to find t The amount of money in dollars the Alexandra can spend on her computer find the value of t

Answers

Answer:

350$

Step-by-step explanation:

600 = total in checking account.

250 = left in checking account after transaction.

600-250 = 350

meaning the most she can spend on a computer is 350$.

Answer:

t ≤ 350

Step-by-step explanation:

Which inequality represents all possible values of t ?

According to 3 sources I found online this should be correct! Let me know if anything else is needed asap!

4x + 16 less than or equal to 18

Answers

4x+16 = 18
4x = 18-16
x =2/4
x = 1/2

Answer:

x≤1/2

Step-by-step explanation:

4x+16 ≤18

Subtract 16 from each side

4x+16-16 ≤18-16

4x≤2

Divide by 4

4x/4 ≤2/4

x≤1/2

PLZZ ANSWER QUICK TIMED a submarine is positioned –1525 feet in relation to sea level. The submarine needs to be –1865 feet below sea level in 20 minutes. Which best represents the rate at which the submarine needs to travel? –169.5 ft/min –17 ft/min 17 ft/min 169.5 ft/min

Answers

Answer:

17ft/min

Step-by-step explanation:

1865-1525 =  340

multiply the rest by 20 and see which gets 340 ft. so the only correct one is 17ft/min

PLEASE HELP, SOLVE THIS PROBLEM AND GIVE ME THE ANSWER!!!

Answers

Answer:

answer B. -5

Step-by-step explanation:

hello

fg(-4)=f(-4)*g(-4)=(-4-1)(5*16-19*4-3)=-5*(80-76-3)=-5*(1)=-5

hope this helps

Answer: It is B. -5

Other Questions
Find the equation of a line perpendicular to 4x 4y = -4 that contains the point (-5, -2). Purely resistive loads of 24kW, 18kW and 12kW are connected between the neutral and the red, yellow and the blue respectively of 3 phase, four-wire system. The line voltage is 415. What is the current in each line conductor ? Edmund makes a cube using eight small cubes.Samuel uses cubes of the same size as the small cubes to make a cuboid twice as long, three times as wide and four times as high as Edmunds cube IT IS EXTREAMLY URGENT!!! I WILL GIVE BRANLIEST!!!!AT LEAST TAKE A LOOK!!!!!! HELPPPPPPPPPFind the value of x in the figure below. (Round your answer to the nearest whole number)A) 5 inchesB) 7 inchesC) 6 inchesD) 8 inchesYOU HAVE TO CLICK THE TRIANGLE TO EE IT BETTER, JUST IN CASE ON THE TOP LEFT SIDE IT IS 8IN AND THE BOTTOM OF THE TRIANGLE IS 10 IN How many lbs. of weight gain should a patient be instructed to report if the prescription is to notify the healthcare provider of a 3 kg weight gain in a week? In an accident with farm machinery, Mr. Roque had his left arm severed just below the elbow. Mrs. Roque stopped the bleeding, called for an ambulance, and packed the severed arm in ice for the EMTs to take to the hospital. Will Mr. Roque ever be able to move the fingers of his left hand again? What structures must be reattached, and what has to happen? Please answer this correctly "Fire distinguishes are generally colored redThis statement contains what aspect of language, speakers are asked to avoid? Which expressions are equivalent to 9(2/3x+1)? Check all that apply. The first line of this contains a to help readers locate this section A 50-cm-long spring is suspended from the ceiling. A 410 g mass is connected to the end and held at rest with the spring unstretched. The mass is released and falls, stretching the spring by 16 cm before coming to rest at its lowest point. It then continues to oscillate vertically. Part A What is the spring constant please help me whats the answer for jim has 100 cards there is a whole number from 1 to 100 on each card no cards have the same number jim puts a star on every card has a multiple of 3 on it he puts a circle on every card that has a multiple of 7 on it what number are on the cards that have both a star and a circle on them the final line on your answer must list only these numbers Did you see the green car race down the street?A greenB youC raceD seeCan somebody help me find the adjective I would appreciate it hi:) I tried using the sine rule but I couldnt get the ans :( anyone able to help? Thank you:)!! What is the value of x when y=31 2 Consider the sequence of keys (5,16,22,45,2,10,18,30,50,12,1). Draw the result of inserting entries with these keys (in the given order) into a. An initially empty (2,4) tree. b. An initially empty red-black tree. What step did China take during the Ming dynasty to isolate itself from the rest of the world? write a story ( 200) words --- one upon a time they lived a man who was rich but i had no children 5. What if the U.S. Constitution banned slavery? Do you think that the southern delegateswould have walked out of the convention? What ramifications would that have had for ourcountry?I The sequence of the differences, 2, 4, 8, 16, 32, is a geometric sequence with: