Select the correct answer. What are the solutions of this quadratic equation?

6x^2 + 6 = 12x + 18

[tex]x = 1 + \sqrt{3} [/tex]
[tex]x = 2 + 2 \sqrt[]{3} [/tex]
[tex]x = 2 + \sqrt{6} [/tex]
[tex]x = - 1 \: and \: x = 3[/tex]


Answers

Answer 1

Answer:

x=1+√3

Step-by-step explanation:

Let's solve your equation step-by-step.

6x^2+6=12x+18

Step 1: Subtract 12x+18 from both sides.

6x^2+6−(12x+18)=12x+18−(12x+18)

6x^2−12x−12=0

For this equation: a=6, b=-12, c=-12

6x^2+−12x+−12=0

Step 2: Use quadratic formula with a=6, b=-12, c=-12.

x=−b±√b2−4ac/2a

x=−(−12)±√(−12)2−4(6)(−12)/2(6)

x=12±√432/12

x=1+√3


Related Questions

Please answer this correctly.

Answers

Answer:

EF=FC =22 ( diagonals bisect each other )

then EC=2 EF =2 x 22 =44

44
The diagonals in a rhombus are equal
22+22=44

im quite behind and i dont know how to do this.. thank you

Answers

Answer:

455 ( I think )

Step-by-step explanation:

Lets start with the red shape.

The triangle on top is 5x3, and the equation for a triangle is base•height•1/2

So each triangle equals 7.5, as 15/2=7.5. Remember there are 2 triangles so the total of both triangles is 15.

The front side of the red shape is 6x5, which equals 30.

Same with the back.

The side though, is 3x6, which equals 18.

So 15 (both triangles)+60 (the front and back of the shape)+18 (the side)= 93

The red shape is 93 inches cubed.

The green shape is a rectangular prism.

The sides, are both 3x7, which equals 21. Remember there are 2 sides so together they equal 42.

The next part is 3x16= 48. There are 2 of these so it equals 96.

The top and bottom is 7x16=112, which is 224.

42 (sides) + 96 (front and back) + 224 (top and bottom)= 362

The green shape is 362 inches cubed.

362+93=455 inches cubed as a total

(I think)

6 x 3/16 in simplist form

Answers

Answer:

9/8 or 1.125

Step-by-step explanation:

multiply 6/1 * 3/16 = 18/16

divide both by 2

9/8

what is the slope of the line?

Answers

Answer:

The slope of the line would be -2/3

-2/3
That is the slope.

hey in need of help please help me

Answers

Answer: A = 24cm^2

Explanation:

A = Base x Height
A = 6 x 4
A = 24cm^2

if a=-4h^2-h+5 and b=8h-3h+12 find a-b

Answers

Answer:

4h^2-6h-7

Step-by-step explanation:

[tex](4h^{2} -h+5) - (8h-3h+12)\\4h^{2} -h+5 - 8h+3h-12\\4h^{2}-9h+3h-7\\4h^{2}-6h-7\\[/tex]

A cylinder with a base diameter of x units has a volume
of zor cubic units.
Which statements about the cylinder are true? Select
two options
The radius of the cylinder is 2x units.
The area of the cylinder's base is Ax2 square units.
The area of the cylinder's base is žm1x2 square units.
The height of the cylinder is 2x units.
The height of the cylinder is 4x units.

Answers

2nd opinion that’s your answer

Answer:

its B and E

Step-by-step explanation:

I already did the review

Polynomials are written with the exponents of the terms in_____order.

Answers

Answer:

descending order, meaning standard form.

Step-by-step explanation:

Ex: x^2-5x+2

or

Ex: 2x^3 -5x^2 -2x +3

tell me if it doesn't make sense


There are 45 students in a class. If 60% of them are girls, find the number of girls and boys


please help me i am requesting I will mark u as brain list

Answers

Number of girls-27
Number of boys-18

60% of 45 is 27 which is the number of girls.So now you have to subtract 27 by the total which will give you 18

Step-by-step explanation:

here's your solution

==> Total number of students in class = 45

==> percentage of girls in class = 60%

==> number of girls in class = (60/100)*45

==> number of girls = 27

==> number of boys = 45 - 27

==> number of boys = 18

hope it helps

is this quadrilateral a parallelogram?If yes, state the definition or theorem that justifies your answer.​

Answers

Answer:

SOLUTION: Yes; one pair of opposite sides are parallel and congruent. From the figure, one pair of opposite sides has the same measure and are parallel. By the definition of congruence, these segments are congruent. By Theorem 6.12 this quadrilateral is a parallelogram.

Answer:

Below.

Step-by-step explanation:

The definition of a parallelogram is a 4 sided figure  with 2 pairs of oppsoite parallel sides.

One of the properties of a parallelogram is that opposite sides are congruent.

In this figure the opposite sides are both parallel and congruent, so it must be a parallelogram.

Based on the statment, below which statement could be used to prove <1=<2?
vertical angles are congruent
supplementary angles are congruent
complementary angles are congruent
two angles that form a linear pair are congruent

Answers

Answer:

Vertical angles are congruent

WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!
WHAT IS THE AMPLITUDE OF THIS FUNCTION

Answers

your answer should be three.

~iwa-chan

find the volume of a sphere that has a radius of 4cm.

Answers

Answer:

V≈268.08

Step-by-step explanation:

V=4

3πr3=4

3·π·43≈268.08257

Quadrilateral ABCD has vertices AC-3.6), B(6,0), C(9. -9), and D(0, -3). Prove that ABCD is a) a parallelogram​

Answers

9514 1404 393

Explanation:

The quadrilateral will be a parallelogram if the diagonals bisect each other. That will be the case if the sums of their end-point coordinates are the same.

  A + C = (-3, 6) +(9, -9) = (6, -3)

  B + D = (6, 0) +(0, -3) = (6, -3)

Both diagonals have their midpoint at (3, -1.5), so the diagonals are mutual bisectors. The figure ABCD must be a parallelogram.

___

The midpoint of AC is (A+C)/2 = (6, -3)/2 = (3, -1.5).

PLZ HELP!!! I'm begging you! Problem: If each letter of the alphabet is worth two more numbers than the number before it (1=1, 2=3), what is the entire alphabet worth?

Answers

Answer:

676

Step-by-step explanation:

I think this is an arithmetic series, so

Sn = 26/2[2(1) + (26 - 1)2]

Sn = 13[2 + 50]

Sn = 13[52]

Sn = 676

Answer:

676

Step-by-step explanation:

A = 1

B = 3

C = 5

D = 7

...

Z = 51

              1   + 3    + 5   + 7    + 9 + 11  + 13  + 15  + 17  + 19 + 21 + 23 + 25

(+)       + 51 + 49 + 47 + 45 + 43 + 41 + 39 + 37 + 35 + 33 + 31 + 29 + 27

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

          52 + 52 + 52 + 52 + 52 + 52 + 52 + 52 + 52 + 52 + 52 + 52 + 52

13 * 52 = 676

Answer: 676

Which line is parallel to the line y=x+7?

1) x+y=-2
2)x=1
3) x-y=5
4)y=1

Answers

Answer:

3

Step-by-step explanation:

to find the parallel  of this line we need to find function with same slope

1) x+y=-2 ⇒ y=-x-2

2)x=1    

3) x-y=5  ⇒ y=x-5

4)y=1

so third

HIII I need help with this I just took a screenshot its for 7th grade.

Answers

I believe it’s

X > 7

In the US, 77% of all teens have a TV in their bedrooms, while 59% of all teens in Spain have them. A simple
random sample of 500 teens from the US and 300 from Spain are selected and all are asked whether they have a
TV in their bedrooms. Let 9, -be the difference in the sample proportions of teens with a TV in their bedrooms,
where
is the sample proportion of US teens with a TV in their bedrooms and is the sample proportion of
Spanish teens with a TV in their bedrooms.
What is the shape of the sampling distribution of the difference in the two sample proportions?
approximately uniform
approximately Normal
skewed to the right
skewed to the left

Answers

Answer:

the answer is approximately normal

Step-by-step explanation:

hii please help asap ill give brainliest thanks

Answers

Answer:

The decimal number system in use today was first recorded in Indian mathematics.

Step-by-step explanation:

In the classical period of Indian mathematics (400 AD to 1200 AD), important contributions were made by scholars like Aryabhata, Brahmagupta, Bhaskara II, and Varāhamihira. The decimal number system in use today was first recorded in Indian mathematics.

Answer:

Decimal point system.

Step-by-step explanation:

In which sampling method is the sample selected from the population according to a specific item or time interval?
A) convenience sample
B) simple random sample
C) stratified random sample
D) systematic random sample

Answers

I think the answer is C

Flora drew the following graph to answer the question. What was her mistake when she drew her graph?

Answers

Answer:

She drew the graph too steep, if she is going down at a constant rate of 300 ft per hour, at 1 hour she would be at 2,700 ft. it would take her about 10 hours to get down the mountain.

Write the equation of the circle graphed below

Answers

Answer:

(x-4)² + (y-3)² =29

Step-by-step explanation:

The equation of a circle is

(x-h)² + (y-k)² = r², where (h, k) is the center of the circle and r is the radius.

In this circle, the center is at (4, 3)  

(x-4)² + (y-3)² = r²

and we have point (-1 ; 1)

r²=(-1-4)² + (1-3)² = 25+4=29

(x-4)² + (y-3)² =29

Answer:

(x - 4)² + (y - 3)² = 29

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k ) = (4, 3 )

The radius r is the distance from the centre to a point on the circle.

Calculate r using the distance formula

r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (- 1, 1) and (x₂, y₂ ) = (4, 3)

r = [tex]\sqrt{(4+1)^2+(3-1)^2}[/tex]

  = [tex]\sqrt{5^2+2^2}[/tex]

   = [tex]\sqrt{25+4 }[/tex] = [tex]\sqrt{29}[/tex]

Then

(x - 4)² + (y - 3)² = ([tex]\sqrt{29}[/tex] )² , that is

(x - 4)² + (y - 3)² = 29 ← equation of circle

Select the correct answer.
What is the corresponding point on the unit circle for the given radian measure?
0 = 7pi/6

Answers

Answer:

Answer is B: (-sqrt(3/2 , -1/2)

Step-by-step explanation:

First convert radians to degrees

theta = (7pi/6)*(180/pi)

=210 degrees

Cos(210 degrees)= -sqrt3/2

Thats the x coordinate

sin(210 degrees)= -1/2

thats the y coordinate

Answer:

The corresponding point on the unit circle for the radian measure is [tex](\frac{\sqrt{3} }{2},\frac{1}{2})[/tex]

Step-by-step explanation:

What is unit circle?

A unit circle is typically drawn around the origin (0,0) of a X,Y axes with a radius of 1.

What is radian measure?

One radian is the measure of a central angle that intercepts an arc s equal in length to the radius r of the circle.

The radian measure is,

α=[tex]\frac{7\pi }{8}[/tex]

Changing to degree measure,

[tex]\frac{7\pi }{6} *\frac{180}{\pi } \\=210^{o}[/tex]

The measure on the unit circle is,

(cos [tex]\alpha[/tex] , sin [tex]\alpha[/tex])=(cos 210 , sin 210)

                    =[tex](\frac{\sqrt{3} }{2},\frac{1}{2})[/tex]

Option A.

To know more about unit circle, radian measure here

https://brainly.com/question/10675916

#SPJ2

Megan spent $9.85 on ingredients and made one pan of cereal bars. the pan has lengh of 24 inches and width of 16 inches

Answers

Answer:

Step-by-step explanation:

celia ate 5/8 of a pizza what decimal is equivalent to the fraction of pizza celia ate

Answers

Answer:

0.625

Step-by-step explanation:

5÷8=0.625

This is equal to the number of pizzas Celia ate.

plz mark me as brainliest.

Answer:

0.625

Step-by-step explanation:

Fraction of pizza she ate = 5/8

5/8 x 125 =  625/100= 0.625

I hope im right!

Determine the volume of the rectangular prism.

Answers

Answer:

50 ft³

Step-by-step explanation:

We know the formula for a rectangular prism is length × width × height

We also know all the sides so we can rewrite the formula replacing variables.

The length is 8, the width is 2[tex]\frac{1}{2}[/tex] and the height is 2[tex]\frac{1}{2}[/tex]

8 × 2[tex]\frac{1}{2}[/tex] × 2[tex]\frac{1}{2}[/tex]

Multiply which ever way is easy for you. I am just multiplying from left to right.

8 × 2[tex]\frac{1}{2}[/tex] = 20

20 × 2[tex]\frac{1}{2}[/tex] = 50

Now we get 50. Before we put our answer as 50, there are two more steps.

First we need to add the measurement unit which is feet or ft

We also need to add ³ since it is volume

50 ft³ is our final answer

The height in feet,h , of a model rocket t seconds after launch is given by the equation h(t) = 3+70t-16t^2.

Answers

Answer:

speed of the rocket is 6feet

Step-by-step explanation:

Complete question

The height in feet, h, of a model rocket t seconds after launch is given by the equation h(t) = 3+70t - 16t^2. The average rate of change in h(t) between t = 1 second and t = 3 second is 6. What does the average rate of change tell you about the rocket?

Note that the average rate is also known as the speed

Average rate = h(3)-h(1)/3 - 1

h(3) = 3+70(3) - 16(3)^2

h(3) = 3 + 210 - 144

h(3) = 69

h(1) = 3+70(1) - 16(11)^2

h(1) = 3 + 70 - 16

h(1) = 73 -16

h(1) = 57

Average rate = 69-57/3-1

Average rate = 12/2

Average rate = 6ft/s

This shows  that the speed of the rocket is 6feet

Answer:

If you're looking for the answer for edge, its;

B. The rocket is at a greater height when t = 3 than when t = 1.

Step-by-step explanation:

edg- answers ;p

-3.5 x 0.2 =??? ;w;


A. -0.7
B. 0.7
C. -3.3
D. -0.7

Answers

Answer:

A and D

Step-by-step explanation:

It can't be B because of the negative...

It would have to be less than 3.3 since 0.2 is less than and the 3.3 is negative

A and D are the same?

-3.3 * 0.2 = -0.7

Answer these questions

Answers

Answer:

well well well

Step-by-step explanation:

dont cheat on live classwork pls

Plz put the work clearly plzz I really need these

Answers

Answer:

m∠C = 26°

m∠D = 108°

m∠E = 46°

Step-by-step explanation:

Set up the equation adding the expressions together to equal 180 (sum of all angles in a triangle)

(2x) + (x+3) + (5x-7) = 180

Remove the parentheses

2x + x+ 3 + 5x - 7 = 180

Add like terms

8x - 3 -7 = 8x -4 = 180

8x - 4 = 180

Add 4 on each side to cancel it out on the right

8x - 4 = 180

     +4   = +4

8x = 184

Divide each side by 8 to get the variable by itself

8/8 =1    184/8 = 23

x = 23

Substitute x in eac expression

2x = 2(23) = 46°

x + 3 = 23 + 3 = 26°

5x - 7 = 5(23) - 7 = 115 -7 = 108

Chek it by adding all the degrees to make sure it equals 180

46 + 26 + 108 = 72 + 108 = 180

Other Questions
help help help help helpWhat is an action your citizens can take to prevent water waste? 1. An organism's ___ shows what alleles they have for a particular gene, while the ____ is the physical expression of the trait. A. phenotype; genotype B. genotype; phenotype C. Genotype; allele D. Trait; allele A country is angry at a neighboring country for creating too much water andair pollution. It passes a law that forbids its citizens from doing any businesswith the other country until that country cleans up the pollution. If thepollution continues, there will be no trade between the countries.This is an example of which type of trade barrier?A. TariffsB. EmbargoesC. SubsidiesD. Quotas I need help as soon as poible 557= The number of toys owned by eight classmates is shown below:4, 3, 4, 5, 6, 6, 8, 4Part A: What is the mean of the data? Show your work. Part B: Use your answer from Part A to calculate the mean absolute deviation for the data. Show your work. Avisar y enamorar es una rima asonante o consonante?ES URGENTE. NO PONGAN TONTERIAS SI NO REPORTOGRACIAS :) A company charges a shipping fee that is 6.5% of the purchase price for all items it ships. What is the fee to ship an item that costs $60? Round to the nearest cent (hundredths place). * The perimeter of a square is 12x - 8. Which of the following is the length ofone side of the square? A rectangular prism has a volume of 819 cubic meters. It has a length of 10 meters and a width of 9 meters. What is the height of the prism? Can someone please help me on this I am stuck what is the lcm of 32 and 14 solve for x[tex]\frac{1}{x-9}[/tex] =6 Rori read 5 books last month. Here are the number of pages in each book that she read. (120, 106, 94, 100, 180) What is the mean absolute deviation (MAD) of the number of pages in the 5 books Rori read? Please select the word from the list that best fits the definitionFarming if the area of square A is 225 ft2 and the area of square B is 400 ft2 what is the area of square c? A new supermarket is being built. The country has required the owner to designate at least eight handicap parking spaces. The county installed a sign in front of each space to indicate that it is reserved for vehicles with a proper sticker. The sign also announces a $250 fine for violators.The intention behind the sign is to announce to the community at large that there will be a stiff penalty to pay for violating the rule. The belief is that drivers who risk a small fine by parking illegally elsewhere, such as against the curb, will not risk the large fine for parking illegally in the handicap spaces. This point of view is known as ____________. Can someone help me please In June 2000, the SEC brought civil charges against seven top executives of Cendant Company. The SEC alleged that these officials had, among other things, inflated income by more than $100 million through improper use of company reserves. These proceedings were a result of a longstanding investigation by the SEC of financial fraud that started back in the 1980s. In your opinion, in which stage of the criminal litigation process is this case? Why? Hydrogen gas and nitrogen gas come together to form ammonia. If 25.0 g of nitrogen is mixed with hydrogen, what volume of hydrogen is needed to complete the reaction? (grams to volume) Read the sentence:The sky was pretty that morning.Which revision makes the sentence the most vivid?A.Pretty colors and clouds were in the sky.B.That morning the sky was a pretty color.C.Gold light spilled from a rupture in the sky.D.The sky was full of light that morning.