After one side of a square was enlarged by 2 inches and the other side was enlarged
by 3 inches, the area of the shape was doubled.
What was the side of the square?

Answers

Answer 1

Answer:

6 inches

Step-by-step explanation:

basically, first write an equation

2x^2 = x^2 + 5x + 6

then simplify this into

x^2 = 5x + 6

then use sum-product pattern and factor

(x - 6)(x + 1) = 0

then split into two equations

x - 6 = 0, x + 1 = 0

so, you have x = 6 and x = -1

because it can't be negative, 6 is your answer


Related Questions

A mafia hideout was just raided and two large groups of criminals escaped. One group filled 8 cars and 8 vans with a total of 240 people. The second group filled 4 cars and 1 van with a total of 54 people.

Answers

Answer:

Number of people in each car = x = 8

Number of people in each van = y = 22

Step-by-step explanation:

Let

Number of people in each car = x

Number of people in each van = y

8x + 8y = 240 (1)

4x + y = 54 (2)

From (2)

4x + y = 54 (2)

y = 54 - 4x

Substitute y = 54 - 4x into (1)

8x + 8y = 240 (1)

8x + 8(54 - 4x) = 240

8x + 432 - 32x = 240

8x - 32x = 240 - 432

-24x = -192

x = -192/-24

x = 8

Substitute x = 8 into (2)

4x + y = 54 (2)

4(8) + y = 54

32 + y = 54

y = 54 - 32

y = 22

Number of people in each car = x = 8

Number of people in each van = y = 22

Copy the shape and fill in the missing angle. Sow the work. Thanks.

Answers

Answer:

x = -11

Step-by-step explanation:

Hello There!

create an equation

x + 51 + 60 + 80 = 180

combine like terms

51 + 60 + 80 = 191

x + 191 = 180

subtract 191 from each side

180 - 191 = -11

we're left with

x = -11

A case of 24 tennis balls weigh 3 pounds.How much would a shipment of 2560 tennis balls weigh

Answers

it would weigh 320 pounds

each set of points are connected to form a line segment. What is the length of each?

A = (3, 5 ) and B = ( 3, 6 )

ty to anyone who helps!! :)

Answers

DONT PRESS THE LINK PLS ITS A VIRUS

A coach is buying snacks for 22 players at a soccer match. She pays a total of $77 to buy each player a bottle of water and an energy bar. The price of one energy bar is $2. Which quantity is unknown? The price of a bottle of water. Let w equal the price of a bottle of water. Write an equation that represents the situation.

Answers

77*22=    1694                     2*22=44

Step-by-step explanation:

22w + 44 = 77 is the equation which represents the situation and the price of a bottle of water is $1.5.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Let w be the price of a bottle of water.

The coach is buying 22 bottles of water and 22 energy bars, which cost a total of $77.

The cost of 22 energy bars is $2 x 22 = $44.

So the total cost of 22 bottles of water and 22 energy bars is:

22w + 44 = 77

We can simplify this equation by first subtracting 44 from both sides:

22w = 33

Then, we can solve for w by dividing both sides by 22:

w = 1.5

Therefore, 22w + 44 = 77 is the equation which represents the situation and the price of a bottle of water is $1.5.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ3

the sum of two numbers is 15 and their difference is 3 find the numbers​

Answers

Answer:

6+9 is the two numbers

Step-by-step explanation:

Answer:

6 and 9

Step-by-step explanation:

We can write out all possible numbers

1 and 14 (difference is 13, not 3) X

2 and 13 (difference is 11, not 3) X

3 and 12 (difference is 9, not 3) X

4 and 11 (difference is 7, not 3) X

5 and 10 (difference is 5, not 3) X

6 and 9 (difference is 3, checks out!) ✔

7 and 8 (difference is 1, not 3) X

Mr. Strand mowed 2 7 of his lawn. His son mowed 1 4 of it. Who mowed most of the lawn? How much of the lawn still needs to be mowed?

Answers

Answer:

66666666666

Step-by-step explanation:

6666666666677777hgfyyf6f5d5fygghyug

help me plzzzzzzzzzzzzzzzzzzz

Answers

Answer:

-5

Step-by-step explanation:

1*1=1

1-6= -5

Hope this helped!

What is the solution to the inequality below?

Answers

Answer:

B

Step-by-step explanation:

[tex] \sqrt{x} < \sqrt{16} [/tex]

=x<4

How do you solve an inequality, then verify the solution by subsituting 3 different numbers?

Answers

Answer and Step-by-step explanation:

To solve an inequality, you must solve for the variable. Let's look at an example:

4x + 2 > 10

We solve for x by subtracting 2 from both sides, then dividing 4 on both sides.

(Solve as if you were solving a regular equation)

4x > 8

x > 2

We get x > 2 as our inequality.

To plug in 3 values, simply plug in any number that is greater than 2. That would be the solution to the inequality.

If when solving the inequality and you have to divide by a negative, the sign will change. Ex:

-5x > 25

x < -5

To show that the sign should switch, let's solve it this way.

-5x > 25

0 > 25 + 5x       Add the 5x to both sides.

-25 > 5x            Subtract the 25 from both sides

-5 > x                Divide by 5 from both sides.

As we can see, the inequalities turn out to be the same, which is why you flip the sign when you divide.

#teamtrees #PAW (Plant And Water)

7. What are two possible solutions for x if: x + 1 > 8 *
10 points
6
9
5
15

Answers

Answer:

The answer ,

if x = 15

x +1 > 8

16 > 8

if x = 9

x +1> 9

The answer is 15 and 9

The expression (3 + 6i) + (5 - 10i) simplified is

Answers

Answer:

The answer is 8 - 4i

you collect the like terms

The answer is 8 - 4i

PLEASE HELP ME IN THIS I NEED HELP SO BAD!! IF YOU DINT KNOW THE ANSWER DONT TELL ME- PLEASE HURRY HELP ME (*꒦ິ⌓꒦ີ)

Answers

Answer:

18

Step-by-step explanation:

Take the 54. The cake reduces her size by 1/3 so you multiply 54*1/3 to get 18 inches or 1.5 feet tall. :)

Please help PLEASEEEEEEEEE ​

Answers

Answer:

15

Step-by-step explanation:

You know that it takes 3 mins for 45 sit-ups so then you wanna find how much for 1 minute. It shows 3 mins which is 3 times as much as 1 minute. There, 3/3 = 1. then you have to do it with the sit-ups too. so 45/3 = 15

is it right for people to get credit for an answer if they looked it up?

Answers

Yes.
Why?
They worked hard to get that answer by typing things and typing requires work.
Which means credit should be earned

Thank you for your time

Answer: I mean if you can summarize the answer and put it in your on answer then yeah.

Step-by-step explanation:

Pam has 9 bags of apples. Each bag contains
6 apples. There are 3 bags of red apples and
1 bag of green apples. The rest of the bags
contain yellow apples. How many more
yellow apples are there than red apples?

Answers

Answer

There are 12 more yellow apples than red.

Step-by-step explanation:

How exactly?

First find how many bags of YELLOW apples. 9 bags in total and there is 1 bag of green apples and 3 bags of red apples so 9-(3+1)= 5 bags of YELLOW apples.

So we know there is 1 bag of GREEN apples and since each bag holds/ contains 6 apples we also know that 1x6= 6 so  g or GREEN apples is 6.

Now lets find how many RED apples there are :D. There are 3 bags of RED apples each containing 6 apples so we know 6+6+6= so r or RED apples is 18.

So, now we find how many YELLOW apples there are. 6 apples in each bag and there are 5 bags remaining for YELLOW apples we do 6x5 which equals 30 apples ( WOW My girl PAM?! She looove her yellow apples)

Lastly we know there are 30 yellow apples and 18 red apples we also know the question asked " How many MORE yellow apples are there than red apples?" so this means we subtract. 30-18= 12 MORE YELLOW APPLES THAN RED APPLES

2. Given that set M = {Even numbers between 20 and 35), find n(m)​

Answers

Step-by-step explanation:

Set M = {20,22,24,26,28,30,32,34}

n(M) = no. of elements in set M

i.e.

n(M) = 8

Answer:

7

Step-by-step explanation:

Even numbers between 20 and 35 are 22, 24, 26, 28, 30, 32, 34.

M = { 22, 24, 26, 28, 30, 32, 34}

There are 7 elements in the set M.

Thus, n(M) = 7

In ΔBCD, the measure of ∠D=90°, the measure of ∠B=71°, and DB = 67 feet. Find the length of BC to the nearest tenth of a foot.

Answers

Answer:  Side BC would be 205.7ft

Step-by-step explanation:

Answer:

in triangle BCD

relationship between base and hypotenuse is given by cos angle

cos 71=b/h

cos71=BD/BC

cos71=67/x

x=67/cos71=205.8ft.

the length of BC to the nearest tenth of a foot is 206ft.

Theon took his wife and 2 children to a football game . Children 's ticket costs 1/3 the price of an adult ticket. Ticket Prices.Adult 's Ticket= ,Children =40.00. Theon received 10% discount on the total cost of 4 tickets. Calculate the amount of money Theom paid and how many adults ticket.​

Answers

Answer:

288

Step-by-step explanation:

If the price of a children's ticket is 1/3 of an adult's, and we know that the price of a children's ticket = 40, than we also can calculate that the price of an adult ticket is 40 * 3 = 120

So the question boils down to how many adults and children. Well, Theon has a wife and 2 kids so we can safely assume that there are two adults and two children total (Theon and wife are adults) (2 children are children)

120*2 + 40 * 2 = 320

However, we need to eliminate 10% of the value since they get a discount

320 - 0.10 * 320 = 320 - 32 = $288

Joy and Joey share a 18-ounce bucket of clay. By the end of the week, Joy has used
1
6
of the bucket, and Joey has used
2
3
of the bucket of clay. How many ounces are left in the bucket?

Answers

3 ounces
explanation: 1/6 of 18 is 3 so 18-3= 15 and 2/3 of 18 is 12 so 15-12=3 ounces

Maria tiene hielo en su refrigerador a 7c en cierto momento saco la cubeta del congelador y olvido guardarla nuevamente luego de dos horas encontro la cubeta con agua a 3c cual es la diferencia entre la temperatura final y la final

Answers

La pregunta requiere que calculemos la diferencia entre la temperatura final e inicial del agua.

Responder:

4 ° C

Explicación paso a paso:

Dado que:

Temperatura inicial del agua = 7 ° C

La temperatura del agua después de 2 horas = 3 ° C

La diferencia de temperatura del agua;

Temperatura inicial - temperatura final

7 ° c - 3 ° c = 4 ° c

La diferencia de temperatura del agua es de 4 ° C

Read Sanjay's schedule. Use transitions to complete the story about his week. "The week is so busy!" Sanjay told his mom. " I have band practice. I have to volunteer at the animal shelter, but I have piano lessons. By I will be exhausted."​

Answers

Answer:

"The

✔ upcoming

week is so busy!" Sanjay told his mom. "

✔ First,

I have band practice.

✔ Two days later,

I have to volunteer at the animal shelter, but

✔ before that

I have piano lessons. By

✔ the end of the week

I will be exhausted."

lol

Here are the score that Jenna has received on her seven quizzes 16 11 20 16 12 17 18 what is the lower quadrille

Answers

Answer:

12

Step-by-step explanation:

lower quartile is the median of 11, 12, and 16

11,12,16,16,17,18,20
median: 16
lower q: 12

find the value of given expression

[tex] \sqrt{230 - 5} [/tex]

Answers

Answer:

i think it is 345 but not sure

Step-by-step explanation:

A group of friends wants to go to the amusement park. They have no more
than $110 to spend on parking and admission. Parking is $16.50, and tickets
cost $11 per person, including tax. Write and solve an inequality which can be
used to determine X, the number of people who can go to the amusement
park.

Answers

Answer:

110-16.50=93.50

93.50÷11= 8.5

answer is 8 people

Answer:

Inequality: 11x+16.5\le11011x+16.5≤110

Answer: x \le 8.5x≤8.5

Step-by-step explanation:

Find the slope for the line with points (2,4) and (3,6)

Answers

Let m = slope

m = (6 - 4)/(3 - 2)

m = 2/1

m = 2

The slope is 2.

Answer:

-2/1 is the slope for the question

five less than three time a number is greater than two thrirds of that number

Answers

Answer:

3x - 5 > 2/3x

Step-by-step explanation:

beaded bracelets cost $2.25 each to make. how much would it cost to make 61 bracelets?​

Answers

Answer:

$137.25

Step-by-step explanation:

2.25 * 61 = 137.25

answer and explain pleaseee

Answers

Answer:

37³×51¹² is your answer ☺️☺️☺️. If I'm right so,

Please mark me as brainliest. thanks!!!

Person above is correct

Mark them brainliest

What is –36° converted to radians?

Answers

Answer:

- [tex]\frac{\pi }{5}[/tex] radians

Step-by-step explanation:

To convert from degrees to radians

radian measure = degree measure × [tex]\frac{\pi }{180}[/tex] , then

radian measure = - 36° × [tex]\frac{\pi }{180}[/tex] ( divide 36 and 180 by 36 )

                          = - [tex]\frac{\pi }{5}[/tex]

Answer:

aswers c on edge

Step-by-step explanation:

just took it

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