If the perimeter of a square is 28 inches and the area of the square is (x2 + 4x + 4) square inches, where x is a positive number, what is the value of x?

Answers

Answer 1

Answer:

If the perimeter of a square is 28 inches and the area of the square is (x2 + 4x + 4) square inches, and x is a both a real and a positive number, then the value of x must be 5.

Step-by-step explanation:

All sides of a square are equal length.

The area of a square is the side length squared.

perimeter p, side length s, area a, and variable x.

p = 28.   s = ?   a = x^2 + 4x + 4.   x = ?

p = 28

p = 4s.

28 = 4s.

7 = s.

a = s^2.

s = 7.

a = 7^2.

a = 49.

a = x^2 + 4x + 4.

a = 49.

x^2 + 4x + 4 = 49.

factor x^2 + 4x + 4.

(x+2)(x+2) = 49.

(x+2)^2 = 49.

√ ((x+2)^2) = √49.

take positive answer.

x+2 = 7

x = 5.


Related Questions

Jeff sells popcorn for $3 per bag. To make a profit each day, he needs to sell at least $120 worth of popcorn. He has sold $36 worth of popcorn today. Which inequality can be used to find the number of bags of popcorn, p, Jeff still needs to sell today to make a profit?
A- 3p - 36_>120
B- 3(p+36) _>120
C- 3p - 12_>120
D- 3p + 36 _> 120

PLEASE ANSWER QUICKLY! 10 POINTS!!!​

Answers

Answer: he needs to sell 28 more bags to sell 120 dollars of popcorn

Step-by-step explanation: I need one more brainliest for the next rank I’d appreciate it

Convert the rational number below to a decimal. Round to the nearest hundredth when
necessary
7/9
Please I’ll mark Brainliest

Answers

Answer:

0.63 is your answer.

Step-by-step explanation:

7/9

= 0.63

helppppppppppppppppppppppppppppp

Answers

Answer:

12000 cubic meters

Step-by-step explanation:

v=(1/3)(900)(40)

12000 cubic meterssssssssssss

A rectangular prism is 12 cm long, 6 cm wide and 5 cm high. What is the volume of the rectangular prism?

Answers

Answer:

360cm

Step-by-step explanation:

Volume=mass

volume

There 10 race. Medals are awarded for , 2nd and 3rd place. how many different ways can the medals be awarded?

Answers

there are 720 different possible ways the 3 prizes are awarded.

Answer:

20 ways

Step-by-step explanation:

Because You can get a 2nd place and 3rd place medal so thats 2 ways but there are 10 races so times 10 is 20 :)))))

please show your work

Answers

Answer:

B) 40

Step-by-step explanation:

Angle X and the missing angle inside the triangle are equal as the are opposite angles.

Therefore,

180 - 65 - 75 = 40

reduce 286/858 to simplest terms

Answers

286/858 to its simplest form is 1/3
the answer to 286/858 is 1/3

ill give brainliest to the correct answer

Answers

Answer:

7 x 4 = 28

28 x 1/2(dividing by 2) = 14, 14 x 2(two triangles) = 28

4 x 5 = 20(area of square in the middle)

5 x 8 = 40(area of square on one side), 40 x 2 = 80(area of squares on both sides)

Now lets add the given areas:

28 + 20 + 80 = 128 square is your answer.

Find the missing side of each triangle. Round your answers to the nearest tenth if necessary
Please explain a step by step

Answers

Answer:

2.8km

Step-by-step explanation:

a = sqrt(c^2-b^2)

a = sqrt(9.9^2 - 9.5^2)

a = sqrt(7.76)

a = 2.78567765544

Round that to 2.8 and there's your answer

it is 2.8 km because if you use the pythagorean theorem you can do 9.5^2+2.8^2=98.09. the square root of 98.09 is 9.9 which is the length of the hypotenuse.

Helppp pleasee!!!
MARK BRAINLIST
12 POINTS

Answers

Answer:

12.56

Step-by-step explanation:

use the circumference of a circle formula, C=2πr, to find the circumference

so C=2π(2)=12.56 the last one

The correct answer should be 12.56

Which exponential expression is equivalent to the one below?​

Answers

The answer is option A

A movie theater has 1000 seats. There are 424 adults and 339 children sitting in seats. How many of the seats are empty

Answers

Answer:

237 seats are empty

Step-by-step explanation:

Answer:

there are 237 seats that are empty

Step-by-step explanation:

Solve the proportion.

X/8=4/5


Can someone help me with this ASAP please I’m being timed

Answers

Answer:

x=32/5

Step-by-step explanation:

x/8=4/5

x=(4/5)×8

x=32/5

x/8 = 4/5

Times 8 both sides

x = 32/5

x = 6 2/5

A bag contains red and blue marbles, such that the probability of drawing a blue marble is 3/8. An experiment consists of drawing a marble, replacing it, and drawing another marble. The two draws are independent. A random variable assigns the number of blue marbles to each outcome. Complete the probability distribution table on your own paper. Answer the question in the text box below. / What is the probability of drawing exactly one blue marble? Write a simplified fraction.

Answers

Answer:

The probability of drawing exactly one blue marble is 15 over 32

Step-by-step explanation:

did test

PLEASE HELP ME WITH THIS BOTH A.S.A.P I WELL GIVE 20 POINTS AND A BRAINLIST FOR THE BEST EXPLANATION

Answers

Answer: yes they are

Step-by-step explanation: the way you know is because the angles on each shape are the same and the lines on the shapes are the same length. If one shape is bigger than another or if one has a different shape than the other, they are not congruent. I hope that helped you!

Express $90 as a decimal​

Answers

i think the answer to your question is 90.0

Ms Hart had 40 dollars to spend on costume boxes for the musical. If she bought 12 boxes and received 4 dollars in change, how much was each box?

Answers

Answer:each box cost =$3

Step-by-step explanation:

Amount of money Ms Hart has to spent on costume boxes=$40

Amount gotten as change after purchase=$4

Amount actually used up buying costume boxes =$40-$4=36

Since she bought 12 boxes , each box cost =$36/ 12=$3

Tom can paint a fence in 6 hours. Huck can paint a fence in 5 hours. If Tom takes a 30 minute break, how long will it take them to paint the fence together?

Answers

Answer:

4 1/11 hours

Step-by-step explanation:

Tom can paint 1/6 of the fence in an hour

Huck can paint 1/5 of the fence in an hour

Tom takes a half-hour break; we can create this equation:

1/6x - 1/2 + 1/5x = 1

use a denominator of 30:

5x/30 - 15/30 + 6x/30 = 30/30

11x/30 = 45/30

multiply each side by 30/11 to get:

x = 45/11 or 4 1/11

HELP! THIS IS DUE TODAY, and i will mark brainlest!

Answers

Answer:

Option 3

Step-by-step explanation:

y=3+x is a straight line that runs through y=3 and x=-3

So your 3rd option here is the one.

Answer:

I think it's the third option

What is the sum of the interior angles in this shape?

Answers

Answer:

720° :)

Step-by-step explanation:

You can find the total interior angle for any shape using the following (n being the number of sides):

S = ( n - 2 ) × 180 °

S = (6-2) * 180

S = 720

I believe 720 because every triangle is 180 so your can be made up of 4 triangles, so multiply 180 times 4

Are the following solutions correct ? Why or why not

Answers

Answer:

[tex]\theta = 0, \frac{\pi}{2}, \pi,...[/tex]

Step-by-step explanation:

[tex]sin\theta + cos \theta = 1 \\\\squaring both the sides\\\\sin^{2}\theta + cos^{2}\theta+2 sin\theta cos\theta = 1 \\\\2sin\theta cos\theta = 0 \\\\sin2\theta = 0\\\\2\theta = 0, \pi, 2 \pi,....\\\\\theta = 0, \frac{\pi}{2}, \pi,...[/tex]

This is the correct solution.

what is the value of 24,093 + 3?
A. 831

B. 8031

C. 8301

D. 8310

Answers

Answer:

B (8,031)

Step-by-step explanation:

None of these could be 24,093 + 3 so I'm gonna assume you meant ÷ instead of +

What is the messument of this angle?

Answers

Answer:

30º

Step-by-step explanation:

Which of the following points is a solution for this system of equations:
y = –2x – 11
y = x² – 2x – 36

A. (0,-36)
B. (-3,-5)
C. (0,-11)
D. (5,-21)

Answers

Answer:

D

Step-by-step explanation:

There you go mate, just writing this to be 20 words long so I can answer it

What is the m_ACB?
O 10°
B.
0 50°
(4x)
O 90°
O 180°
(7x-20)
С

Answers

Answer:

180

Step-by-step explanation:

90 + 4x + 7x - 20 equals to 180

Answer:

B. 50

Step-by-step explanation:

Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

No it's not compulsory.

Step-by-step explanation:

If the ratio of sides are given then that can also help you find angle. Not only that if the relationship between the perpendicular and base are given then you can find angle

E.g.

if the ratios of the sides is 5:4:3 then you can find the angle

I really need help no files or links brainly removes it

Finding a final amount in a word problem on exponential growth or decay

An amount of $41,000 is borrowed for 9 years at 6.25% interest, compounded annually. If the loan is paid in full at the end of that period, how much must be paid back?
Use the calculator provided and round your answer to the nearest dollar

Answers

Answer:

A = $70753

Step-by-step explanation:

[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]

P = $41000

r = 6.25% = 0.0625

n = 1

t = 9

[tex]A = 41000(1 + 0.0625)^9 = 70752.91[/tex]

[tex]A = \$70753[/tex]

Write the equation for a sine function with an amplitude of 6 and a period of n/4

Answers

Answer:

Y=Asin[B(x-c)] + D

B=2π/T

=2π/(n/4)

=8π/n

Y=6sin(8πx/n)

Determine the area of the shaded region.
А
6
B
8
A and B are midpoints.

Answers

i need a picture to answer this statement

Marshall is comparing different companies that rent sound systems The total cost, y , for each company includes a used rental fee plus an additional fee based on the number of hours, x , the sound system is rented. Which company had the lowest additional fee per hour for renting a sound system?

Answers

Answer:

Company B

Step-by-step explanation:

Given

See attachment for graph

Required

Company with the least additional fee

This means the y-intercept and it represents the flat fee

To get the y-intercept, we simply write out the point where [tex]x= 0[/tex]

From the graph of A, we have:

[tex](x,y) = (0,70)[/tex]

Additional Charges = 70

From the table of B, we have:

[tex](x,y) = (0,50)[/tex]

Additional Charges = 50

From the equation of C, we have:

[tex]y=10x+ 90[/tex]

[tex]y(0) = 10 * 0 + 90[/tex]

[tex]y(0) =0 + 90[/tex]

[tex]y(0) =90[/tex]

Additional Charges = 90

By comparison. company B has the least additional fee because: [tex]50 < 70 < 90[/tex]

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