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

[tex]\sqrt{x} 3^4+6^2[/tex]

Answers


= 9√x+36. I believe this is the answer !!!! :)

help finding the area

Answers

Answer:

The answer is 49 in^2.

Step-by-step explanation:

The area of the triangle is 1/2* perpendicular height * horizontal length.

The horizontal length is 14 in, while the perpendicular height is 7 in.

The area of the triangle is 1/2* 7 in * 14 in = 49 in^2

34°
Which expression is equivalent to sin (34º)?
A. cos (349)
B. tan (34°)
C. cos (569)
D. tan (569)

Answers

The answer to this question is D

What is the slope of the line that passes through the points (0, -2) and (9,-5)?

Answers

Answer:

-1/3

Step-by-step explanation:

y2 - y1 / x2 - x1

-5 - (-2) / 9 - 0

-3 / 9

-1/3

What is the product of 12 and 3?

Answers

The product of two numbers is the result you get when you multiply them together. Therefore,

12 × 3 = 36

Hope this helps! :D

I don’t know how to do this can someone help me please

Answers

Answer:

m∠1 = 147°

Step-by-step explanation:

(5x-2)° and ∠1 are supplementary to each other, which means they add up to 180°. However, we don't know the measure of ∠1. So, we need to solve for x to figure out angle (5x-2)°'s measure. Therefore:

(8x+1)°+(5x-2)°+90°=180°

8x+1+5x-2+90=180

13x+89=180

13x=91

x=7

This means the measure of angle (5x-2)° is 33°, making the measure of ∠1 equal to 147°.

Find the area of the circle with a circumference of 30(pie). Write your solution in terms of (pie)

Area in terms of(pie):_______



Answers

Answer:

option 3

Step-by-step explanation:

[tex]circumference = 2 \pi r\\30 \pi = 2 \pi r\\\\r = \frac{30 \pi }{2 \pi} =15mm\\\\Area = \pi r^2 = \pi 15^2 = 225 \pi \ mm^2[/tex]

Question 6 of 10
What is the length of DE?
A
D
27
15
130"
10
B F 10 E
O A. 10
d
B. 22
O
C. 18
O D. 12

Answers

Answer:

c=18

Step-by-step explanation:

The measure of the sides, of the square, is  3√2 units

What is Pythagoras theorem?

The Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.

Given is a square, with diagonal of 6 units we need to find the measure of the sides, of the square,

By the definition of the Pythagoras theorem,

s² + s² = 6²

2s² = 36

s² = 18

s = 3√2

Therefore, we get s = 3√2

Hence, the measure of the sides, of the square, is  3√2 units

Learn more about Pythagoras theorem, click;

https://brainly.com/question/21926466

#SPJ7

The complete question is attached

Which statement is true regarding the graphed functions ?

Answers

will u give me diamond dedo please let

Step-by-step explanation:

opbolte99 I am very sorry for what is ur id number on it n

the amount of rupees 1008 enumal rate 10% is rupees 1200 find the instrest

Answers

Answer:

Step-by-step explanation:

Amount=Principal + Interest

1200=1008 + interest

1200-1008=interest

rupees 192 = Interest

the answer to your question is 192 rupees

A soup can in the shape of a cylinder is 6 inches tall and has a label wrapped around it. The label does not cover the top and bottom of the can. If the radius of the can is 1.5 inches, how much paper was needed to make the label? Use 3.14 for Pi and round the answer to the nearest tenth.

Recall the formula L A = 2 pi r h.
70.7 square inches
56.5 square inches
37.7 square inches
28.3 square inches

Answers

Answer:

56.5 square inches

Step-by-step explanation:

Answer:

the person above me is right

Step-by-step explanation:

someone pls help I don't undertand

Determine whether the following sequence is arithmetic or geometric and then
calculate the 8

th and 10th terms

-25, -15, -5, 5, 10, ...

The sequence is arithmetic / geometric. (Circle one)

8
th term: 10th term:

2-4) Removed

Answers

The jump from -25 to -15 is +10

The jump from -15 to -5 is also +10

The jump from -5 to 5 is also +10

Unfortunately, this pattern doesn't hold up. The jump from 5 to 10 is +5

Because the gap isn't the same each time, this tells us the sequence is not arithmetic.

----------------

We can show the sequence isn't geometric either. Pick any term to divide it over its previous term

-15/(-25) = 0.6

-5/(-15) = 0.333 approximate

The result isn't the same, so we don't have a common ratio and that's why this sequence isn't geometric.

----------------

It seems like your teacher made a typo. Please double check with them to make sure that they typed the correct sequence. I have a feeling that 10 should be 15, but I'm not entirely sure.

Write an explicit formula for an, the nth term of the sequence 7, -28, 112, ....

Answers

t( 1 ) = 7

q = t( 2 ) ÷ t( 1 ) = - 28 ÷ 7 = - 4

____________________________

t( n ) = t( 1 ) × q^( n - 1 )

t( n ) = 7 × ( - 4 )^( n - 1 )

help me please? confused

Answers

Answer:

see below

Step-by-step explanation:

sqrt(32)

    32

4  *   8

2*2     2*4

         2  * 2*2

Taking pairs

2*2  2*2*2

2 * 2 with one 2 left over

2*2* sqrt(2)

4 sqrt(2)

Woodrow took a group of 3 instead of pairs when taking square roots

PLEASE HELP ASAP! THANK YOU

EXPLANATION = BRAINLIEST

The area of a right triangle is 270 square meters. The height of the right triangle is 15 meters.

The length of the hypotenuse of the right triangle is ___ meters.

Answers

Answer:

39 m.

Step-by-step explanation:

The area of a triangle is calculated by the expression given as:

Area = bh/2

where b is the base and h is the height.

We calculate as follows:

270 = b (15) / 2

b = 36

hypotenuse = sqrt ( 15^2 + 36^2 ) = 39

help please I need help​

Answers

Answer:

it should be A, but it depends on how you look at it

I need help on 11,12,13,14
plzzz help

Answers

Answer:

555758439878392837290987394108734293028978439423389744983972493875824933289739829379398938297643589328975393894829798398379483979459384987853958046799358079989358u97y8976859967809084709-087090

Step-by-step explanation:

686959589588497878398689840938075u6654545

If base of parellogram is 12 cm lenght is 8cm and prependecular diatance beetween two bases is 7cm find its area and perimeter

Answers

Answer:

84 cm^2

10 cm

Step-by-step explanation:

A parallelogram is  quadrilateral that has two pairs of parallel sides. The opposite sides  equal in length

Area = base x height

12 x 7 = 84 cm^2

Perimeter = 1/2 x ( base + length)

1/2 x (12 + 8) = 10 cm

What is the value of B?

Answers

Answer:

61°

Step-by-step explanation:

B = 180°-58°-61°

= 61°

i really need help, please​

Answers

here, base(b)=7, perpendicular(p)=8 and hypotenuse(h)=?(c)

by using pythagoras theorem.

h^2=p^2+b^2

or,h^2=8^2+7^2

or,h^2=113

or,h=

[tex] \sqrt{113} [/tex]

Factor: 6x^3+4x^2+3x+2

Answers

Answer:

Step-by-step explanation:

6x^3+4x^2+3x+2

6x^3+3x+4x^2+2

3x(2x^2+1)+2(2x^2+1)

(3x+2)(2x^2+1)

Hey! Can someone please help! I need to find the value of x.

Answers

Answer:

68° because it is parallel \ this sign

What is the slope of the line through the points (-2, -1) and (4, 3)?

Answers

Answer: [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Answer:

m=2/3

Step-by-step explanation:

Identify the coordinates (x₁,y₁) and (x₂,y₂) . ...

Input the values into the formula. (-2,-1) (4,3) the formula is (y1-y2)/(x1-x2)

Subtract the values in parentheses to get 4/6

Simplify the fraction to get the slope of  2/3

Find a, b, and n of the factored form of the binomial expansion.
16x^4 + 480x^3y + 5,400x2y^2 + 27,000xy^3 + 50,625y^4

Answers

Step-by-step explanation:

N is the power so the greatest power is 4 so n=4

Since n=4 therefore find the 4th root of the 1st and the last term as shown in the attached files

If you need more help you can ask me anytime

Answer:

a= 2x

b= 15y

n= 4

Step-by-step explanation:

7(4g) + 3(5h) + 2(−3g)

Answers

Answer:

22g+15h

Step-by-step explanation:

28g+3×5h+2×−3g

28g+15h+2×−3g

28g+15h−6g

(28g−6g)+15h

hope this helps!!

Determine the resulting polynomial:
f(x) = 10x + 4
g(x) = -4x2 + 6x – 9
Find: f(x) · g(x)

Answers

Answer:

-40x³ + 44x² - 66x - 36

Step-by-step explanation:

f(x) = 10x + 4

g(x) = -4x² + 6x – 9

Therefore:

f(x) · g(x) = (10x + 4) · (-4x² + 6x - 9) = -40x³ + 44x² - 66x - 36

Write one digit on each side of 73 to make a four digit multiple or 36. How many different solutions does this problem have? And what are they.

Answers

Answer:

73 u have to add any digit either at right or left therefore

73+11=

them multiply by 36

73×36

Addison and multiplication is t a e answer

Answer:

There are two solutions to the problem.

The numbers are 6732 and 2736.

Step-by-step explanation:

36 = 4*9

The four digit number must be divisible by 4 AND by 9.

The last two digits must be divisible by 4.  So only 2 and 6 are possible.

X732, X736.

X must be such that the four-digit number is divisible by 9.

7+3+2=12, so a 6 to make the sum of digits = 18, hence divisible by 9.  So 6732 is divisible by 36.

7+3+6 = 16, so a 2 to make 2736 whose sum of digits = 18, hence the four digit number is divisible by 9.  So 2736 is divisible by 36.

There are two solutions to the problem.

The numbers are 6732 and 2736.

Is this complementary, supplementary or neither? Pleasee helppp

Answers

supplementary angle

Graph this function: f(x) = x2 - 4x - 5

Step 1: Identify a and b.
a=
b =

Answers

Answer:

a=1

b=-4

The graph is a parabola with vertex in (2,-9), y-intercept (0,-5) and x-intercepts (+5,0) and (-1, 0)

Step-by-step explanation:

[tex]xv = \frac{ - b}{2a} [/tex]

[tex]yv = f(xv)[/tex]

y-intercept: P(0, c)

x-intercepts: find x1 and x2 with the quadratic formula, then P1(x1, 0) and P2(x2, 0)

Answer:

Answer: a= 1 b= -4

Step 2 find the vertex formula x = -b/2aX= 4/2(1)X= 2

Find the y-coordinate of the vertex: f(x)= 2^2-4(2)-53F(2)= -9

Step 3: plot the vertex(2,-9)

Step 4: factor the function to find the x- intercepts

X-intercepts are: (5,0) and (-1,0)

Step 5: plot x-interceptsStep

6: find y-interceptF(0)= -5

Step 7: plot -5

Done :)

Step-by-step explanation:

What is the measure of the missing angle?)

Please explain how u got the answer so I can learn

Answers

Step-by-step explanation:

let x be the another angle

so

x+40=90

x=90-40

x=50

The measure of missing angle is 50

hope it helps

THE MEASURE IS 50 I HOPE I HELPED GOOD LUCK
Other Questions
Connor is painting a superhero with this belt buckle shown. What is the area of the belt buckle in square Inches? 9 inches 2.5 inches A 4 inches 15 inches 5 inches 2.5 mches 25 nches The area in square inches is: Select the phrase that is most likely being described.Es una excelente manera para conocer a personas que viven en otros pases y tienen tus mismos intereses.A. un correo electrnicoB. un sitio C. una comunidad virtualD. una clase de cocina Let U(-7,5) and V(4, -3). What is the length of UV? Round your answer to the nearest 10th You are valuing an investment that will pay you $28,000 per year for the first 4 years, $43,000 per year for the next 12 years, $69,000 per year the next 18 years, and $61,000 per year for the following 10 years (all payments are at the end of each year). If the appropriate annual discount rate is 11.00%, what is the value of the investment to you today The distribution of income tax refunds follow an approximate normal distribution with a mean of $7010 and a standard deviation of $43. All of the income tax returns claiming the largest 0.15 % of refunds will be audited. Use the Empirical Rule to determine approximately above what dollar value must a refund be before it is audited. How many outcomes are there in the sample space for tossing 2 coins? Two similarcylinders havetotal Surface areas of45cm and 20cm. If thelarger has a mass of81g. Find the mass of the Smaller one What is the gain in gravitational potential energy of a body of weight 2000N as it rises from a height of 20m to a height of 25 m above the Earth's surface Ribbon and molecular surface renderings of just the enzyme in 4SKN (with and without the DNA substrate) indicate that ________ is bound in a deep active site, while a ________ loop stretches across the top of the active site and interacts with the DNA substrate. what is Art[tex]( - 5 \times - 7) \times 2[/tex] 3. In a neutral solution, the [H+] iszeroO 10-14MO equal to [OH-]O1 x 107M After the city was built... how do I make it independent complete the sentence Simplify. Remove all perfect squares from inside the square root. [tex] \sqrt{30b { }^{5} } [/tex] Rebecca is comparing two prices of peanutbutter. Peanut butter A has 12 ounces andcosts $6.00. Peanut butter B has 32 ounces andcosts $18.00. Which one is a better buy? Match each with the correct answer.1. Practice 4.2Match the CPU part to its definition.1. ________ arithmetic logic unit. (ALU)2. ________ bus unit.3. ________ cache.4. ________ control unit.5. ________ decode unit.6. ________ regular unit.-optionsA. Decodes instructions and data and transmits the data to other areas in an understandable format.B. Contains many separate, smaller storage units.C. Connects all the other major components together, accepts data, and sends data through the input and output bus sections. D. Control of the overall operations of the CPU.E. Performs mathematical functions on data stored in the register area.F. Small temporary memory area that separates and stores income data and instructions. What is an equation of the line that passes through the point (2;8) and has a slope of 3?A.y= 3x-2B.y= 3x-22C.y= 3x+ 2D.y= 3x+ 22 Preocupada com o aumento da tarifa na conta de luz, uma pessoa resolve economizar diminuindo o tempo de banho de 20 para 15 minutos. Seu chuveiro possui as seguintes especificaes: 4200 W e 220V. Sabendo que o kWh custa R$0,30, a economia feita em 10 dias foi de aproximadamente Which phrase best describes the biosphere? what are the effects of corruption is 2 f's and 4 c's a passing grade