The area of a square is (9x2 − 12x + 4) square units. Determine the length of each side of the square by factoring the area expression completely

Answers

Answer 1

Step-by-step explanation:

9x2 − 12x + 4 = 18 - 12x + 4 = 22 - 12x = 2(11 - 6x)

length of 1 side = ± sqrt 2(11-6x) (rej neg value)


Related Questions

solve 4/r = 5/20 will mark brainliest ​

Answers

Answer:

= 16

Step-by-step explanation:

Simplify  \frac{5}{20}

​20

​5

​​   to  \frac{1}{4}

​4

​1

​​ .

\frac{4}{r}=\frac{1}{4}

​r

​4

​​ =

​4

​1

​​

2 Multiply both sides by rr.

4=\frac{1}{4}r4=

​4

​1

​​ r

3 Simplify  \frac{1}{4}r

​4

​1

​​ r  to  \frac{r}{4}

​4

​r

​​ .

4=\frac{r}{4}4=

​4

​r

​​

4 Multiply both sides by 44.

4\times 4=r4×4=r

5 Simplify  4\times 44×4  to  1616.

16=r16=r

6 Switch sides.

r=16r=16

Decide whether Equation A or B would be used to solve the problem.
You had $1.65. After a friend returned the money you had loaned her, you
had $3.50. How much did she give you?
a. n + 1.65 = 3.50
b. n - 1.65 = 3.50

Answers

Answer:

The correct answer is B because you had less when the friend did not give you the money. Therefore before you had 3.50-1.65

Step-by-step explanation:

Meryl needs to add enough water to 11 gallons of an 18% detergent solution to make a 12% detergent solution. Which
equation can she use to find g, the number of gallons of water she should add?

Answers

Answer: 1.98/11+g = 12/100

Answer:

D [tex]\frac{1.98}{11+g} =\frac{12}{100}[/tex]

Step-by-step explanation:

edge

Destiny paid $9.60 for a dozen donuts. What is the unit cost for each donut?

Answers

Answer:

$0.8

Step-by-step explanation:

dozen=12

$3.60=12 donuts

$3.60/12= 0.8

$0.8

The Jefferson band is selling baked goods to raise money for their trip. Their goa; is to profit at least $500. Each baked good sells for 2 dollars but costs $0.50 to make. How many baked goods will they have to sell to reach the goal?

Answers

Answer:

Break-even point in units= 334

Step-by-step explanation:

Giving the following information:

Desired profit= $500

Selling price= $2

Unitary variable cost= $0.5

To calculate the number of units to be sold, we need to use the following formula:

Break-even point in units= (fixed costs + desired profit) / contribution margin per unit

Break-even point in units= (0 + 500) / (2 - 0.5)

Break-even point in units= 334

Para la reforestación de un terreno por parcela se compraron 150 arboles de cedro y 210 arboles de guayacán para sembrarlos de tal forma que en cada parcela quede la misma cantidad de arboles de cada tipo ¿Cuál es el mayor numero de parcelas? ¿Cuántos arboles de cedro y cuantos arboles de guayaca se sembrar en cada parcela?

Answers

Answer:

a) 30 parcelas

b) Para árboles de cedro: 5 por parcela

Para árboles de Guayacán: 7 por parcela

Step-by-step explanation:

a) ¿Cuál es el mayor número de parcelas?

De la pregunta tenemos:

150 árboles de cedro y 210 árboles de guayacán

Para encontrar la mayor cantidad de parcelas, resolvemos usando los métodos del mayor factor común.

Encontramos los factores de 150 y 210

Los factores de 150 son: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Los factores de 210 son: 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Entonces el máximo común divisor es 30.

Por lo tanto, la mayor cantidad de parcelas que podemos tener es de 30 parcelas.

b) ¿Cuántos árboles de cedro y de guayacán plantar en cada parcela?

Para cedros

Tenemos 150 árboles de cedro

Por lo tanto, la cantidad de árboles de cedro por parcela = 150 ÷ ​​30 = 5 árboles de cedro por lote

Para los árboles de Guayacán

Tenemos 210 árboles de Guayacán

Por lo tanto, el número de árboles de Guayacán por parcela = 210 ÷ 30 = 7 árboles de Guayacán por lote

What is the slope of the linear relationship shown in this table of values? x y -4 11 2 -1 5 -7

Answers

Answer:

2

Step-by-step explanation:

-1-11/-4-2 = -12/-6 = 2

The required slope for the linear relationship is -2.

Slope to be determine for table x = -4  2   5,  y = 1   -1  -7 showing linear relationship.

What is slope?

Slope of function is defined as the rate at which function is increasing.

Here, slope

[tex]=\frac{y_2-y_1}{x_2-x_1} \\=\frac{-1-11}{2+4}\\= -2[/tex]

Thus, the required slope for the linear relationship is -2.

Learn more about slope here:
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Use the inverse variation equation to fill in the table.

Answers

Answer: a= 0.1 b=20.775 c=0.02

Step-by-step explanation:

just got it right on edg

The cost of 5 pounds of boudin is $26.What is the constant of proportionality that relates the cost in dollars,y, to the number of pounds of boudin,x?

Answers

Given :

The cost of 5 pounds of boudin is $26.

To Find :

The constant of proportionality that relates the cost in dollars y, to the number of pounds of boudin x .

Solution :

Price per boudin in terms of x and y is :

[tex]P=\dfrac{y}{x}[/tex]

Price per boudin by given data :

[tex]P=\dfrac{26}{5}[/tex]

So,

[tex]\dfrac{y}{x}=\dfrac{26}{5}\\\\y = \dfrac{26}{5}x[/tex]

Therefore, the constant of proportionality is [tex]\dfrac{26}{5}[/tex].

Hence, this is the required solution.

Find the length of C using the Pythagorean theorem

Answers

Answer:

14^2+48^2=2500 sqrt2500= 50 c=50

Step-by-step explanation:

The length of c using the Pythagorean theorem is 50 units.

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

The given triangle is ABC which is right angle triangle

AB=c

BC=14 and AC=48

We have to find the value of c

By Pythagoras theorem, in a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides

AB²=AC²+BC²

c²=48²+14²

c²=2304+196

c²=2500

Take square root on both sides

c=√2500

c=50

Hence, the length of c using the Pythagorean theorem is 50 units.

To learn more on trigonometry click:

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y+4= 2/3 (x+3) written in standard form​

Answers

2x-3y=6 is correct:)

CAN ANYONE DO IT, IT IS EASY

Answers

Answer: 31

Step-by-step explanation:

180-20-35 = 125 (bottom triangle)

180 - 156 = 24

125 + 24 = 149

180-149 = your answer

Percentage rate of increase or decrease y = 3500(1.079)

Answers

Answer:

Increase

Step-by-step explanation:

If you multiply the numbers it increases!

Gray started the week with $150 in his checking account. The chart shows the credits and charges to his account during the week.
Credit Charge
$20 $52
$23 $16
$14 $28
How much money did Gray have in his account at the end of the week?
O $3
O $111
$189
$303

Answers

Answer:

111

Step-by-step explanation:

150 + 20 = 170

170 - 52 = 118

118 + 23 = 141

141 - 16 =  125

125 + 14 = 139

139 - 28 = 111

Type the correct answer in the box. Round your answer to the nearest hundredth.

A class consists of 55% boys and 45% girls. It is observed that 25% of the class are boys and scored an A on the test, and 35% of the class are girls and scored an A on the test. If a student is chosen at random and is found to be a girl, the probability that the student scored an A is ​

Answers

if you add 55% and 45% the total is 100% so 45/100 are girls.  35% of the girls scored and A  so 35/45  is the probability that it is a girl chosen or 7/9. the probability is 7 out of 9.

what is 20*5 yay plz help me anwer this

Answers

Answer: 100. Can I get a Brainlest.

100 is the answer

Multiply.....

God Bless

Solve: -6y+2(y-6)=12

Answers

answer: = -6 mark me brainly

Answer:

Step-by-step explanation:

distribute

=

6

When x=1, find the value of y

1) -3
2) -1
3)1
4)-4

Answers

Answer:

y = -3

Step-by-step explanation:

The equation of the line is y = -x -2

We plug in the given x value into the equation to find y.

y = -(1) - 2

Simplify.

y = -3

Michael averages 5 three-pointers in his first 4 basketball games. How many does he need to score at his 5th game in order to bring his average to 6 three-pointers per game?

Answers

Answer:

10

Step-by-step explanation:

The easiest way to understand this is not the shortest way.

Give Michael 4 fives and then add an x.

5 + 5 + 5 + 5 + x

Now divide by 5 and equate that to 6

(5 + 5 + 5 + 5 + x)/5 = 6              

Combine the left side

(20 + x)/5 = 6

Multiply by 5

(20 + x) = 6*5

20 + x = 30

Subtract 20 from both sides

x = 30 - 20

x = 10

He needs 10 three - pointers to average 6


Shelly's Boutique had a Labor Day sale featuring 25% off any item. Tammy wanted to buy a blouse that originally sold for $21.99. To the nearest cent,
how much will it cost her before tax to buy the blouse during the sale?

Answers

Answer:

it will cost $19.12

Step-by-step explanation:

Answer: $19.12

Step-by-step explanation:

What is the result of F (X) = - 3 × -3​

Answers

Hello There this is your answer

and hope you a GREAT Thanksgiving :)

F ( X ) = 9

Write and solve an inequality to represent the situation below.

When Chelsea babysits, she charges $5 for each hour, x, she works plus $2 for bus fare. Chelsea want to earn at least $33 for her next babysitting job. How many hours must she work?

Answers

6.2 hours
Every time Chelsea babysits she earns 2 + 5x
We want at that to amount to at least 33. *_> is great than or equal to*
33 _> 2+5x
Subtract 2 from both sides
31_>5x
Divide by 5 from both sides
6.2_>x
So Chelsea must work for at least 6.2 hours. She could work more but at least 6.2

A line passes through the points (-5, 2) and (10,-1). Which is the equation of the line?
o y=-3x+1
O y-zx=3
O y = -5x – 23
O y = 5x + 27
HURRY

Answers

The answer is A : y=-1/5x+1 ..... I checked on desmos

Calcula la relación entre los volúmenes de estos dos cilindros, si el radio de uno de ellos es el doble que del otro

Answers

Answer:

calfdmf mjd fmjs  wsmc wsjmc jesd jms

Step-by-step explanation:

I’m confused can someone help me please !

Answers

Step-by-step explanation:

= x + x -2+ 1 -2x

=2x-3- 2x

=3 ans

hope it help you.

Answer:

2+1=3-2x= -5+x+x =5x square

6. Camille is a first year accountant and a recent college graduate. She is paid a salary
of $40,000 per year, is expected to work 40 hours a week and is nonexempt because
this is her first year as a staff accountant. During tax season, thirteen weeks from
January 15 through April 15, she works 56 hours a week.
a. Does she receive overtime? Explain.
b. How much is her normal rate per hour?
c. What is her overtime rate per hour?
d. How much extra does Anne earn during tax busy season? (Jan to April)

Answers

jk ima awnser in one sec

He width of a rectangular postcard is 4 inches and the diagonal is 7.6 inches long. What is the length of the postcard? Round your answer to the nearest hundredth.

Answers

Answer:

Adjacent = x = length = 6.46 inches

Step-by-step explanation:

Given the width and diagonal of a rectangular postcard,

Find the length using Pythagoras theorem

Hypotenuse ² = opposite ² + adjacent ²

Hypotenuse = 7.6 inches

Opposite = 4 inches

Adjacent = x

Hypotenuse ² = opposite ² + adjacent ²

7.6² = 4² + x²

57.76 = 16 + x²

subtract 16 from both sides

57.76 - 16 = x²

41.76 = x²

Find the square root of both sides

x = √ 41.76

= 6.46

x = 6.46 inches

Adjacent = x = length = 6.46 inches

BRAINIEST TO CORRECT ANSWER
(2x^2 +7x)+ (−x^2+10x+3)

Answers

Answer: x2+17x+3

Step-by-step explanation:

2x2+7x−x2+10x+3

=2x2+7x+−x2+10x+3

Combine Like Terms:

=2x2+7x+−x2+10x+3

=(2x2+−x2)+(7x+10x)+(3)

=x2+17x+3

Complete the equation of the line through (3,-1) and (4,7)

Answers

Answer:

y=8x-25

Step-by-step explanation:

I put my work in the picture I attached

Answer:

y=8x-25

Step-by-step explanation:

1) You find the slope by doing y2-y1/x2-x1 (so 7-(-1)/4-3) then you get the slope of 8

2) then you plug in some points using the slope (I'll use the point (3,-1)) : -1=8(3)+b

3) to find "b", you solve: -1=24+b --> b=-1-24 --> b=-25

4) then you put everything together and you get y=8x-25

V5. Suppose you invest $5,000 at 9% interest, compounded annually, for 10 years. Determine the future value of your investment, using the compound interest formula.

Answers

Answer: $11836.8

Step-by-step explanation:

Given. That :

Amount invested = $5000

Interest rate = 9% = 0.09

Period = 10 years, compounded annually

Using the compound interest formula :

A = p(1 + r/n)^nt

A = final amount

P = principal or invested amount

r = rate of interest

n = number of times interest Is applied per period

t = period

A = 5000(1 + 0.09/1)^(1*10)

A = 5000(1.09)^10

A = 5000 * 2.36736367459211723401

A = 11836.81837296058617005

= $11836.8

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