Please give a step-by-step solution of 2x^2 +12x = 6 (by completing the square)

Answers

Answer 1

Answer:

x = - 3 ± 2[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Given

2x² + 12x = 6 ( divide through by 2 )

x² + 6x = 3

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(3)x + 9 = 3 + 9

(x + 3)² = 12 ( take the square root of both sides )

x + 3 = ± [tex]\sqrt{12}[/tex] = ± 2[tex]\sqrt{3}[/tex] ( subtract 3 from both sides )

x = - 3 ± 2[tex]\sqrt{3}[/tex] ← exact solutions


Related Questions

Daniela needed 3 feet of thread to finish a pillow that she was making. She has 24 times as much thread as she needs. How much thread does she
actually have?

Answers

Answer:

im pretty sure it's 72 ft

Step-by-step explanation:

Sandy mixed together 9 gallons of one brand of juice and 8 gallons of a second brand of juice,
which contains 48 percent real fruit juice. Find the percent of real fruit juice in the first brand if
the mixture contained 30 percent real fruit juice. Which of the following equations could be used
to solve this?

Answers

Answer:

14 %   pure juicecomes from  first brand

Step-by-step explanation:

Mixture:

17 gal 30% contains:  17x 30% = 5.10 gal pure juice

 Second brand:

8 gal 48% contains:  8x40% =  3.84   gal pure juice

 

5.10 − 3.84 = 1.26   gal

1.26   gal is  coming  from 9 gal of first  brand

The percentage of first brand  is:

(1.26/9) x100  =  14 %   pure juice.

juanita borrowed $600 to purches a computer

Answers

Answer:

Juanita borrowed $600 to purchase a computer

Step-by-step explanation:

Grammer

Answer:

what exactly is your question? i would be happy to help, but there is no question present.

Step-by-step explanation:

What is the scale factor?

Answers

Answer:

2

Step-by-step explanation:

it literally doubles in size

Answer:

2

Step-by-step explanation:

Find a linear dimension of the image, such as a length, width, height, altitude, etc. Find the corresponding dimension in the original. Divide the length of the image by the original length.

Linear dimension in the image: A'B' = 6

Corresponding length in the original: AB = 3

divide image/original

scale factor = 6/3 = 2

Answer: 2

Help with this pleaseeee

Answers

Answer:

66 cm (Option B)

Step-by-step explanation:

The formula for the circumference of a circle is C = 2πr, so plug the values into the formula.  The radius, (r) of a circle is one half of the diameter, so split 21 is half to get a radius of 10.5.  Use 3.14 for π.  

C = 2πr

C = 2(3.14)(10.5)

C = 6.28 × 10.5

C = 65.94

Rounded to the nearest unit, you get a answer of 66 cm.  

Hope this helps!  :)

For the triangle above, find sin B.

a. 25° c. 0.923 b. 0.385 d. 18°

Answers

Answer:

c

Step-by-step explanation:

correct on edge 2021

Please help with my school

Answers

Answer:

You didn't send the pool dimensions ill answer it when u do

Step-by-step explanation:

While walking in her neighborhood, Ashley found 3 dimes and 4 pennies on the ground. What percent of a dollar did Ashley find?

Answers

Answer:

34%

Step-by-step explanation:

Dime = 10 cents, 10% of a dollar

Penny = 1 cent, 1% of a dollar

3 dimes = 30% of a dollar

4 pennies = 4% of a dollar

30% + 4% = 34%

Two sides of a parallelogram are 49 feet and 78 feet. The measure of the angle
between these sides is 59º. Find the area of the parallelogram to the nearest square
foot.

Answers

Answer:

[tex]A=3276\ ft^2[/tex]

Step-by-step explanation:

Given that,

The sides of a parallelogram are 49 feet and 78 feet. The measure of the angle  between these sides is 59º.

We need to find the area of the parallelogram.

Using trigonometry,

[tex]\sin(59)=\dfrac{h}{49}\\\\h=\sin(59)\times 49\\\\h=42.00\ ft[/tex]

We know that,

Area = base (b) × height (h)

So,

[tex]A=78\times 42.00\\\\A=3276\ ft^2[/tex]

So, the area of the parallelogram is equal to [tex]3276\ ft^2[/tex].

A factory-made 100,000 jars of peanut butter. 50,000 of the jars contained creamy peanut butter. What percentage of the jars of peanut butter was creamy?

Write your answer using a percent sign (%).

Answers

Answer:

50%

hope this answer helps you!

What is the slope?
(Will gave a brainiest)

Answers

Answer:

Step-by-step explanation:

Answer= -1/3

Answer:

a slope of a line is a measure of it's steepnees. mathematically, slope is calculated as "rise over run"

here are four fractions 2/5 2/3 1/14 1/10 look at the number line below write the letter for each fraction in the correct box help plz

Answers

Answer:

First box: 1/10

Second box: 2/5

Third box: 1/4

Fourth box: 2/3

In the image attached the correct order of letter for each fraction in the correct box are : Option D, C and A.

What is the fractions about?

Note that:

A= 2/5

= 0.4

B =2/3

= 0.67

C = 1/14

= 0.25

D= 1/10

= 0.1

Therefore, In the image attached the correct letter for each fraction in the correct box are : Option D, C and A.

Learn more about fractions from

https://brainly.com/question/78672

#SPJ6

Help xnnsnnznnsks8#xkdo#slls

Answers

Answer:

Dance class and soccer

Step-by-step explanation:

because in those two fractions the numerators are more than half of the denominators

what is the equation of this trend line? Enter your answers by filling in the boxes.
K=__J+__ ​

Answers

Answer:

K= -2J+24

Step-by-step explanation:

Good luck .

Hope this helps .

2 2/3 ÷ 1 1/9 calculate the following​

Answers

Answer:

12/5

Step-by-step explanation:

convert to 8/3÷10/9

that gives 8/3÷9/10

then we calculate 4 x 3/5

which = 12/5

Answer:

12/5 or  2 2/5

Step-by-step explanation:

Firstly, change the mixed form into an improper fraction.

8/3 ÷ 10/9

To find the answer, you have to multiply by the reciprocal of 10/9.

8/3 x 9/10

12/5

log[tex]Evaluate log _{2} {\frac{1}{128} }[/tex]

Answers

128*2+ 1/ 127 =2.00781

9514 1404 393

Answer:

  -7

Step-by-step explanation:

It is helpful to recognize 128 = 2^7. Then you know ...

  [tex]\log_2\dfrac{1}{128}=\log_2{2^{-7}} =\boxed{-7}[/tex]

__

If you don't know that, you can use the change of base formula:

  [tex]\log_2{\dfrac{1}{128}}=\dfrac{\log{\dfrac{1}{128}}}{\log{2}}=\dfrac{-2.1072}{0.30103}=\boxed{-7}[/tex]

Please help!! What is the y-intercept of the line graphed below? Write your answer as an ordered pair?

Answers

Answer:

y-intercept = (0,-2)

Step-by-step explanation:

SOMEONE PLEASEEEE HELPPPPPPPP

Answers

Answer: 21

Step-by-step explanation:

The ratio of sides from large to small is 2/3

30*2/3= 20

27*2/3=18

21*2/3=14

A youth football team has three out of 11 players who played quarterback previously. Based on the information, if there are 250 players in the football league, then how many could we expect to have previously played the position of quarterback?

a.68
b.250
c.70
d.3

Answers

It would probably be A

just... I can't make promises, but almost to last question, 5 star and brailiest

Answers

Answer:

A= 1,0 B=0,-3 C=-6,5 D=-3,-5 E=-1,4

Step-by-step explanation:

you did it right. just got some numbers mixed up (remember x=axis before y-axis)

What is radius? How u can find raduia

Answers

Answer:

The distance between the center of the circle to its circumference is the radius. The diameter is always double the radius. Hence, the formula is derived by dividing the diameter by 2.

Step-by-step explanation:

Mark as brainliest

Radius is half of diameter. You can find it by using the equation: C (circumference) / 2 * pi

sin(45°) *

1. 3/2

2. 1/2

3. 2/2

4. 0

5. 1

6. Undefined

Answers

Answer:

None of these are the correct choices

Step-by-step explanation:

I Mark Brainliest !
Select All that apply

Answers

Answer:

B C D

Step-by-step explanation:

Find the value of x.

Answers

Answer:

x = 29°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the given angles from 180° for x

x = 180° - (128 + 23)° = 180° - 151° = 29°

what is-12x + 16 – 4x = -112

Answers

Answer:

[tex]x=8[/tex]

Step-by-step explanation:

First, I wanna point out a minor mistake, are we supposed to figure out x?

If we are, let's start.

[tex]-12x+16-4x=-112.[/tex]

We don't need the [tex]16.[/tex]

We subtract the 16 from both sides.

SImplify, =[tex]16x=128[/tex]

Also, group like terms, and add similar elements.

Answer:

x = 8

Step-by-step explanation:

-12x + 16 - 4x = -112

Combine like terms on the left side.

-16x + 16 = -112

Subtract 16 from both sides.

-16x = -128

Divide both sides by 16.

x = 8

Check:

-12x + 16 - 4x =

= -12(8) + 16 - 4(8)

= -96 + 16 - 32

= -80 - 32

= -112

-112 = -112

x = 8 is correct.

Answer: x = 8

what is the height of the tree

A. 156 ft
B. 100 ft
C. 80 ft
D. 25 ft​

Answers

Answer:

B

Step-by-step explanation:

You first must find the conversion rate. Since you know a 4 ft tall object produces a 5 foot long shadow, you simply divide 4 by 5. This gives you 0.8. Now that you have your conversion rate, you multiply it by the shadow the tree casts, that being 125, and your answer is B, 100.

Triangle NOP, with vertices N(3, 4), O(7, 7) , and P(4, 9) , is drawn on the coordinate grid below .

Answers

8:72728288 77557557875

If AC = 6, DC = 4, FC = 15, D = 65°, and CBE = 115°, what is the length of CB ?

(1) 10
(3) 17
(2) 12
(4) 22.5

Answers

10 is the answer. Hope that helped

Whats the answer to 2/3

Answers

Answer:

2/3 is already simplified

Step-by-step explanation: hoped this helped :)

The radius of a circle is 2.8 cm. Find the circumference to the nearest tenth.

Answers

Answer: 17.59 cm

Step-by-step explanation: C=2πr=2·π·2.8=17.59292 cm

17.6cm
Formula c(circumference)=2*pie(3.14)*r(radius)
C=2(2.8)(pie)
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