the area of a square is 4x^2+12x+9. Write an expression to represent the length of the side of the square.

Answers

Answer 1

Answer:

An expression to represent the length of the side of the square with an area of 4x^2+12x+9 in terms of x is 2x + 3

Step-by-step explanation:

all sides of a square are equal in length.

area of a square is the side length squared.

area a, side s, variable x.

a = 4x^2 + 12x + 9.   s = ?   x = ?

a = s^2.

a = 4x^2 + 12x + 9.

4x^2 + 12x + 9 = s^2.

x^2 + 3x + 9/4 = (s^2)/4.

factor x^2 + 3x + 9/4 = (s^2)/4.

(x + 3/2)(x + 3/2) = (s^2)/4.

(x + 3/2)^2 = (s^2)/4.

√((x + 3/2)^2) = √((s^2)/4).

take positive root.

x + 3/2 = s/2

solve for side s.

s/2 = x + 3/2

s = 2x + 3


Related Questions

x^2 +14x +45=0 factorise​

Answers

Answer:

Step-by-step explanation:

x^2+14x+45=0

x^2+(9+5)x+45=0

x^2+9x+5x+45

x(x+9)+5(x+9)=0

(x+9)(x+5)=0

either x+9=0                           Or,x+5=0

x+9=0

x=0-9

x=-9

x+5=0

x=0-5

x=-5

therefore x=-9,-5

I think so the answer is x=-5

Một xe máy khởi hành a đến b cách nhau 160 km sau 1 giờ ô tô đi từ b đến a hai xe gặp nhau tại c cách b 72 km biết vận tốc ô tô hơn vận tốc xe máy là 20 km. Tính vận tốc mỗi xe

Answers

Answer:

74

Step-by-step explanation:

well, you see, потому что я плохая сука-ниггер, да бруддахол лмао

The cost of 12 shirts is 84 find the cost of 6 shirts

Answers

Answer:

ok so 6 is half of 12 so we have to find half or 84 which is

42

Hope This Helps!!!

Answer: The answer is 42.

84/2= 42. May I have the brainiest?

Please I have been waiting for an answer. somebody help me I give brainlist

What is the value of x in this figure?

Enter your answer in the box.

Answers

Answer:

x = 114

Step-by-step explanation:

114 and x are vertical angles, therefore they are congruent.

Answer:

Vertical Angles are equal so 114

Step-by-step explanation:

Calculate the circumference of a circle with a radius of 14 cm.

Answers

Answer:

Step-by-step explanation:

circumference of a circle=2πr

=2*3.14*14

=28*3.14

=87.92 cm

Darius is studying the relationship between mathematics and art. He asks friends to each draw a "typical” rectangle. He measures the length and width in centimeters of each rectangle and plots the points on a graph, where x represents the width and y represents the length. The points representing the rectangles are (6.1, 12.0), (5.0, 8.1), (9.1, 15.2), (6.5, 10.2), (7.4, 11.3), and (10.9, 17.5). Which equation could Darius use to determine the length, in centimeters, of a "typical” rectangle for a given width in centimeters?

y = 0.605x + 0.004
y = 0.959x + 0.041
y = 1.518x + 0.995
y = 1.967x + 0.984

Answers

Answer:

its the 4th one

Step-by-step explanation:

Answer:

the answer is C y=1.518x+0.995

Step-by-step explanation:

can someone help will mark brainliest​

Answers

Answer:

$60

Step-by-step explanation:

x - 15 = 45

x = 15 + 45

x = 60

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

45+15= 60

$60 is how much the original value was.

Hope this helped!

What is the value of x^2/y^1 when x=10 and y=5?

Answers

The value is 20. 10^2 = 100 and 5^1 = 5. 100/5=20

4+3x<=13 on a number line

Answers

Answer:

The question seems incomplete, but this statement would be true for all x below 3 (you can put any number less than 3 in it and get a true statement)

Hi, does anyone mind helping me with this pls?

Answers

Answer:

a and b

Step-by-step explanation:

they're both equal to 25%; 100 reduced by 75 is 25

Fill in the blanks below in order to justify whether or not the mapping shown represents a function

Answers

Answer:

not a function because -3 maps to two different values 5 and 6

Step-by-step explanation:

What is the diameter of a sphere with a volume of 72 in”, to the nearest tenth of an
inch?

Answers

The required diameter of the sphere where the volume is 72 inches is 5.2 inches respectively.

What is a sphere?

A sphere is a geometrical object that resembles a two-dimensional circle in three dimensions. In three-dimensional space, a sphere is a collection of points that are all located at the same distance from a single point.

The radius of the sphere is denoted by the letter r, and the specified point represents its center.

The sphere is a three-dimensional shape that is sometimes referred to as a circle's second cousin.

A sphere is a solid shape that is circular, without borders.

Balloons, toy balls, and even light bulbs are examples of objects with sphere shapes.

So, the volume of the sphere formula is:

4/3πr³

We know that the volume is 72 inches.

Then calculate as follows:

72 = 4/3πr³

r³ = 72*3/4π

r = 2.58 (Approx)

Rounding off: 2.6 inches

Then the diameter would be:
2.6 * 2 = 5.2 inches

Therefore, the required diameter of the sphere where the volume is 72 inches is 5.2 inches respectively.


Know more about a sphere here:

https://brainly.com/question/22807400

#SPJ1

Correct question:

What is the diameter of a sphere with a volume of 72 in”, to the nearest tenth of an inch?

How would you write one million as a power of 10?

Answers

Answer:

10 to the power of 6

Step-by-step explanation:

10 x 10 x 10 x 10 x 10 x 10 = 1,000,000

Answer:

[tex]10^{6}[/tex]

Step-by-step explanation:

10 multiplied by itself 6 times is 1,000,000

Find the volume of a pyramid with a square base, where the area of the base is 19.8 cm2 and the height of the pyramid is 13.9cm. Round your answer to the nearest tenth of a cubic centimeter

Answers

Answer:

91.7 cm^3

Step-by-step explanation:

[tex]Vol=\frac{1}{3} \times base area \times height=\frac{1}{3} \times 19.8 \times 13.9= 91.7 cm^{3}[/tex]

1 is 3 . 3 is 5 . 5 is 4 . 4 is 4 .
What is 7? Explain why.

Answers

Answer:

5

Step-by-step explanation:

seven has 5 letters

Consider the equation below
-2(bx -5 ) =16

Answers

Answer:

bx = - 3

Step-by-step explanation:

- 2(bx - 5) = 16

- 2bx + 10 = 16

- 2bx + 10 - 10 = 16 - 10

- 2bx = 6

- 2bx ÷ - 2 = 6 ÷ - 2

bx = - 3

Simplify. Express the answers using positive exponents:

Help me on this, Points are 2x than they usually are.

Answers

Answer:

[tex]\frac{-1}{2}ab^{12}[/tex]

[tex]\frac{w^{10}}{3y^4}[/tex]

Step-by-step explanation:

Given the expression;

[tex]\frac{-2a^2b^4}{4ab^{-8}}\\= \frac{-2}{4}*a^{2-1}b^{4-(-8)}\\= \frac{-1}{2}ab^{12}[/tex]

Similarly for the expression;

[tex]\frac{-5w^4y^{-2}}{-15w^{-6}y^2}\\= \frac{-5}{-15}*w^{4-(-6)}y^{-2-2}\\= \frac{1}{3}w^{10}y^{-4} \\= \frac{w^{10}}{3y^4}[/tex]

Please help me!!!!!!!!!

Answers

Answer:

14.4

Step-by-step explanation:

Which of the expressions will have a product with three decimal places? Check all that apply.
0.271
Х 5
1.975
56.8
II
4.2
x0.08
x 0.1
x 1.34

Answers

Answer: Its 4.2x 0.08 and 56.8x 1.34

Answer:

0.271 x 5

----

4.2 x 0.08

----

56.8 x 1.34

Step-by-step explanation:

There are 3 correct answers in total everyone.

How many teams haven't won a super bowl
A. 2
B. 12
C. None
D. 3

Answers

Answer:

B. 12

12 teams have never won a Super Bowl :))))

Belleview High School has 12 chaperones for 198 students on a field trip. Which of the following schools has the same ratio of chaperones to students?

Answers

Answer:

The ratio for this school is 12/186 which gives us 2/31. Just check which option has the same ratio and that will be your answer.

Step-by-step explanation:

Answer:

There is no other schools listed so I cant answer the question

Step-by-step explanation:

The product of x and 8 is not less than 16

Answers

Answer:

x ≥ 2

Step-by-step explanation:

The inequality would be: x * 8 ≥ 16

8x ≥ 16

x ≥ 16/8

x ≥ 2

Hope this helps!

Answer:

x*8 > 16

Step-by-step explanation:

product  means multiplaction and x and 8 are being multiplied so x*8 and the answer is not less than or at least 16

If the previous balance on your credit card account is $288.44, the periodic rate is 0.7%, you made a payment of $45, and you had new purchases of $120.33, then how much is the new balance this month?

Answers

Answer: $46,619

»» 288.44 / 0.7%

»› 41,205

»» 45 x 120.33

»» 5,414

A=41,205

A=5,414

A=46,619

[tex]\color{yellow}{}[/tex]

for the y= 2/3x , if the y coordinate is 14 what is the x coordinate? help asap

Answers

Answer:

21

Step-by-step explanation:

y= 2/3 x

so, x= 3/2y

when y= 14

x= 3/2×14 = 21

Answer:

21

Step-by-step explanation:

[tex]14=\frac{2}{3}x\\x=\frac{14*3}{2}\\x=7*3\\x=21[/tex]

You multiply both sides by [tex]\frac{3}{2}[/tex] to get x alone. Then you solve it out for x.

There are 4.5 litres of milk in a pot. The chef stirs in 2.5 g of salt and 1.2 litres of water. How much liquid is in the pot?

Answers

Answer:

5.7 litres

Step-by-step explanation:

The salt is not a liquid so you do not need to add it in.

4.5 litres + 1.2 litres = 5.7 litres

HELP PLEASE I WILL MARK BRAINLIEST

Answers

Answer:

A

Step-by-step explanation:

I just took This test


Write the equation of the circle:
center: (-9, 0), diameter: 10

Answers

Answer:

[tex](x+9)^2+y^{2}=25[/tex]

Step-by-step explanation:

The equation of a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex] where [tex](h,k)[/tex] is the center of the circle and [tex]r[/tex] is the radius of the circle.

Given the circle's diameter is [tex]d=10[/tex], then its radius is [tex]r=\frac{10}{2}=5[/tex].

Therefore, the equation of the circle is [tex](x+9)^2+y^{2}=25[/tex]

PLSS HELP ME ITS WORTH 20 POINTS!!

Answers

Answer:

suplementary

Step-by-step explanation:

Supplementary because the other one said

_____ is the use of your vehicle with others to share the expense of traveling to work.


A.
Hitchhiking


B.
Car sharing


C.
Carpooling


D.
Ride sharing

Answers

The answer is C carpooling

Using your vehicle with other people in order to share the expense of traveling to work, it is called: C. Carpooling.

What is Carpooling?

Carpooling can be described as when two or more people share a one vehicle together to travel to a destination, thereby reducing cost by sharing the cost of fuel, tools, and other expenses associated with driving.

Thus, if you are using your vehicle with other people in order to share the expense of traveling to work, it is called: C. Carpooling.

Learn more about carpooling on:

https://brainly.com/question/1060521

Subtract. Write your answer in simplest form. 2-1/4

Answers

2-1/4 is just 2. (-1/4)

And it is equals to -1/2

I think the answer should be 1.75 and here’s my work
Other Questions
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