What are the solutions of x2 - 2x + 10 = 0 ?

What Are The Solutions Of X2 - 2x + 10 = 0 ?

Answers

Answer 1

Answer:

Step-by-step explanation:

=

±

2

4

2

x

=

b

±

b

2

4

a

c

2

a

x=2a−b±b2−4ac​​

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

2

2

+

1

0

=

0

x

2

2

x

+

10

=

0

x2−2x+10=0

=

1

a

=

1

a=1

=

2

b

=

2

b=−2

=

1

0

c

=

10

c=10

=

(

2

)

±

(

2

)

2

4

1

1

0

2

1

x

Answer 2

Answer:

C. x=1+3i, x=1-3i

Step-by-step explanation:

[tex]\frac{-\left(-2\right)\pm \sqrt{\left(-2\right)^2-4\cdot \:1\cdot \:10}}{2\cdot \:1} \\=\frac{-\left(-2\right)\pm \:6i}{2\cdot \:1}\\x_1=\frac{-\left(-2\right)+6i}{2\cdot \:1},\:x_2=\frac{-\left(-2\right)-6i}{2\cdot \:1}\\\frac{-\left(-2\right)+6i}{2\cdot \:1}\\ =\frac{2+6i}{2\cdot \:1}\\=\frac{2+6i}{2}\\=\frac{2\left(1+3i\right)}{2}\\1+3i\\\\\\frac{-\left(-2\right)-6i}{2\cdot \:1}\\=\frac{2-6i}{2\cdot \:1}\\=\frac{2-6i}{2}\\=\frac{2\left(1-3i\right)}{2}\\1-3i\\x=1+3i,\:x=1-3i[/tex]


Related Questions

How many groups of 3/4are in 11/4

Answers

Answer:

12

Step-by-step explanation:

there are 12 3/4 on 11/4

A triangle has an angle that measures 55°. The other two angles are in a ratio of 11:14. What are the measures of those two angles?

Answers

9514 1404 393

Answer:

  55° : 70°

Step-by-step explanation:

The sum of the two other angles is ...

  180° -55° = 125°

The sum of the ratio units is 11+14 = 25. Each ratio unit stands for 125°/25 = 5°. Then the other two angles are ...

  11×5° = 55°

  14×5° = 70°

Answer:

55° and 70°

Step-by-step explanation:

A triangle has an angle that measures 55°. The other two angles are in a ratio of 11:14. What are the measures of those two angles?

the sum of the internal angles of a triangle is 180 °, we take 55 ° of the known angle and we have the sum of the other two, 125 °, the ratio is 11:14, one is 11 units and one is 14 units, we add them and we divide 125 ° by (11 + 14) = 25 and we have a unit, 125: 25 = 5. now we multiply the unit first by 11 and then by 14 and find the measure of the angles.

11 * 5 = 55°

14 * 5 = 70°

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

check

55 + 55 + 70 = 180°

the sum of the interior angles of a triangle is 180,

so

the answer is good

what is 3/4 ÷ 1/6 plz help ​

Answers

Answer:

4.5

Step-by-step explanation:


The graphs show information about the different journeys of 4 people.

a)
Which graph shows a person running then walking?
b)
Which graph shows a person who forgot something
and had to return home?

Answers

Answer:

A) b

B) c

Step-by-step explanation:

A) a large distance is covered in a short period of time but then the speed decreases

B) the person travels some distance but then returns to their starting point for a while(their home) and then starts on their journey again

The graph shows a proportional relationship between the number of workers and weekly cost in dollars for a company. Use the points ​(6​,4800​) and ​(15​,12000​) to find the weekly cost for the company for each worker. Use pencil and paper. Describe what a unit rate is used for?

Answers

The weekly cost per worker is: $800

Unit rate can be used for calculating expenses, calculating cost of multiple units, or calculating expenses.

Recall:

Unit rate is calculated using: [tex]\mathbf{\frac{y_2 - y_1}{x_2 - x_1} }[/tex]

Unit rate represents the amount of a quantity compared to its unit of measure.

Unit rate can be used for calculating expenses, calculating cost of multiple units, or calculating expenses.

Since the relationship between number of workers and weekly cost is proportional, we would apply [tex]\mathbf{\frac{y_2 - y_1}{x_2 - x_1} }[/tex] in determining the weekly cost per worker using the points, ​(6​, 4800​) and ​(15​, 12000​):

Substitute

Unit rate/weekly cost per worker = [tex]\frac{12,000 - 4,800}{15 - 6} = \frac{7,200}{9} = 800[/tex]

Unit rate/weekly cost per worker = $800

In summary, the weekly cost per worker is: $800

Unit rate can be used for calculating expenses, calculating cost of multiple units, or calculating expenses.

Learn more here:

https://brainly.com/question/19154956

what is the speed of light?​

Answers

Answer:

The universal physical constant c, or the speed of light in vacuum, is essential in many fields of physics. It has a precise value of 299792458 metres per second.

Step-by-step explanation:

Answer:

299 792 458 m / s

Step-by-step explanation:

In terms of sig figs, it can be 3.0 * 10^8 m/s

Which value of x is a solution of the inequality?
​3x−3≥9

Answers

Answer:

It's probably X since X doesn't have a written number for it it equals 1.

Step-by-step explanation:

14 out of the 70 people in a company meeting were managers. What percentage of the
meeting attendees were managers?
Write your answer using a percent sign (%).

Answers

Answer:

20%

Step-by-step explanation:

14 out of 70 given as percentage:

14/70*100% = 20%

Lets see

14/70(100)1/5(100)20%

What two numbers multiply to -15 and add to 8

Answers

3 and 5

Explaining
3x5=15
3+(5)=15

By the way this is not my work

Answers

Answer:

Use unit converter.

Step-by-step explanation:

Evaluate ∫ y2dx + x dy along the following paths. (a) C = C1 is the line segment from (-13, -7) to (0, 6) (b) C = C2 is the arc of the parabola x = 36 - y2 from (-13, -7) to (0, 6).

Answers

a. Parameterize C₁ by

[tex](x(t),y(t)) = (1-t)(-13,-7) + t(0,6) = (-13+13t,-7+13t)[/tex]

with 0 ≤ t ≤ 1. Then both dx = 13 dt and dy = 13 dt, so that the line integral along C₁ is

[tex]\displaystyle \int_C y^2\,dx + x\,dy = \int_0^1 (-7+13t)^2(13\, dt) + (-13+13t)(13\,dt)[/tex]

[tex]\displaystyle \int_C y^2\,dx + x\,dy = 13 \int_0^1 (169t^2 - 169t + 36) \, dt[/tex]

[tex]\displaystyle \int_C y^2\,dx + x\,dy = 13 \left(\frac{169}3-\frac{169}2+36\right) = \boxed{\frac{611}6}[/tex]

b. Parameterize C₂ by

[tex](x(t),y(t)) = (36-t^2,t)[/tex]

with -7 ≤ t ≤ 6. Then dx = -2t dt and dy = dt, so the line integral is

[tex]\displaystyle \int_C y^2\,dx + x\,dy = \int_{-7}^6 t^2(-2t\,dt) + (36-t^2)\,dt[/tex]

[tex]\displaystyle \int_C y^2\,dx + x\,dy = \int_{-7}^6 (36-t^2-2t^3) \, dt[/tex]

[tex]\displaystyle \int_C y^2\,dx + x\,dy = \left(36\cdot6-\frac{6^3}3-\frac{6^4}2\right) - \left(36\cdot(-7)-\frac{(-7)^3}3-\frac{(-7)^4}2\right) = \boxed{\frac{5005}6}[/tex]

Find out the value for brainiest

Answers

Answer:

126 degrees

Step-by-step explanation:

first we should find the measurements of these angles

so (I know these are the names of lines but there's no name for these angles, that's why I'm addressing them with the name of each one's nearest line name)

C= 90 degree

B= 65 degree

A= 79 (coz 180- 101= 79)

therefore D= ?

the total interior angle of a quadrilateral is 360

so 360- (90+ 65+ 79)

360- 234 = 126 degrees

The ratio of boys and girls are 2:5. If the total number of students in school are 350, find the number of girls.

Answers

Answer:

250 girls

Step-by-step explanation:

Add the ratio together (2+5=7), then do 350÷7=50

50 is one part of the ratio so to find how many girls, you would do 50x5=250

How to determine the domain and range of a continuous graph

Answers

Answer:

Step-by-step explanation:

Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.                                        

what is 1,623 x 2,908? please help

Answers

Answer:

1,623 x 2,908 = 4,719,684

Answer:

4719684

Step-by-step explanation:

Tell me if you want one.

How much money must be deposited at the end of each year if the objective is to accumulate $250,000 after 10 years? Assume interestis eamed at the rate of 10 percent compounded annually. How much interest will be eamed?​

Answers

Answer:

Step-by-step explanation:

sasđdádd

if there was a group of ten people the probability of them being born on the same day of the same year is 1, true or false and why

Answers

Answer:

Step-by-step explanation:

It's completely false. If I remember the odds it takes 23 people to get a probability of 1/2 to get a 50% chance of two of the people to have the same day, never mind the same year.

When I was growing up, I had the pleasure of sharing my birthday on the same day as one of my classmates. I was in Grade Three at the time. We were  born in the same year. That's the only time I ever heard of it during my childhood. There were 26 in the class.

Later on when I was teaching I tried it in a class of 20. I had forgotten that the class contained a set of twins.

If the class is more random 23 people gives a 50% chance of a duplication of the year but not the year.

A new hotel was built with r rooms. The first weekend it was open, 3/5 of them were reserved. Which of the following expressions represents the number of rooms which were reserved?

A r-3/5
B r x 3/5
C r+3/5
D ÷3/5

PLEASE HELP ITS STUDY ISLAND

Answers

Answer:

c r/ 3/5

Step-by-step explanation:

i think

100 points if you answer - if it's correct ill give brainliest


(01.04 MC)The elevation of city A is 60 feet above sea level; the elevation of city C is 12 feet above sea level. The elevation of city D is 1 over 2 of the elevation of city C.


Part A: Write an expression to represent the elevation, in feet, of city D. (5 points)


Part B: Solve the expression and explain why the answer is negative or positive. (5 points)

Answers

Answer & Step-by-step explanation:

A = 60 ft

C = 12

D = 1/2 of C

1/2 of 12 = 6

Part A:

e = 6ft

Part B:

It's positive because it is above sea level

Answer:

Step-by-step explanation:

gg I got the points

NEED HELP!! THANK YOU

Answers

Answer:

Expression: -7 + 8f - 2b - f + 3b + 6

# of Terms: 6

Like Terms: 8f and f, -2b and 3b, and -7 and 6

Coefficients: 8, 1, -2, and 3

Constants: -7 and 6

Expression: -11x + 4 + 8x - 4 + 3x

# of Terms: 5

Like Terms: -11x, 8x, and 3x & 4 and -4

Coefficients: -11, 8, and 3

Constants: 4 and -4

Step-by-step explanation:

The coefficient is the number in front of the variable.

The variable is any letter that you may see in an expression.

Terms are the numbers and variables, that are separated by the different signs.

Like terms are the terms that share the same variable/exponent.

Constants are the terms without variables.

Hope this helps you :)

Sorry if it's somehow wrong.

If the silver accounts for 84% of the bar's weight, what is the weight of the silver?

Answers

weight=8.15 ounces
silver=84%of the total weight
silver=(84/100)×8.15 ounces
silver= 0.84×8.15 ounces
silver=7.5795 ounces
silver=7.580 ounces (rounded to nearest thousandth)

Answer:

Step-by-step explanation:

The answer is

Is this statement true or false? The expression 4x (x2 + 4x + 3) is a polynomial. O True O False​

Answers

Answer:

Step-by-step explanation:

If you remove the brackets you get

4x^2*x^2 + 4x*4x + 3*4x

4x^4 + 16x^2 + 12x

That definitely is a polynomial

In its factored form, one of the factors is a polynomial so the answer is true.

A roller coaster can take 209 passengers around the track in 11 minutes. How many passengers can the roller coaster take around the track per minute?

Answers

you want to do 209/11 and get 19 as your answer

Find two solutions of y=2x-3
Point 1: (x,y) --->
Point 2: (x,y) --->

Answers

The slope of the line is 2/1 and the y-intercept is (0,-3). Using that information, we can figure out two points on the line.

Point 1: (0,-3)

Point 2: (1,-1)

(a) Write an equation of the line that passes through the point and is parallel to the given line.




(b) Write an equation of the line that passes through the point and is perpendicular to the given line.

Answers

9514 1404 393

Answer:

parallel: y = x -1perpendicular: y = -x -3

Step-by-step explanation:

The given line has a rise of 1 for each run of 1, so a slope of 1. If you draw a line with a slope of 1 through the given point, you can see that it intersects the  y-axis at y = -1. Then the slope-intercept equation is ...

  y = x -1 . . . . . equation of parallel line

__

The perpendicular line will have a slope that is the opposite reciprocal of the slope of the given line: m = -1/1 = -1

A point that is 1 unit right and 1 unit down from the given point is -3 on the y-axis. This is the y-intercept of the perpendicular line. The equation is ...

  y = -x -3 . . . . . equation of perpendicular line

9514 1404 393

Answer:

parallel: y = x -1

perpendicular: y = -x -3

Step-by-step explanation:

The given line has a rise of 1 for each run of 1, so a slope of 1. If you draw a line with a slope of 1 through the given point, you can see that it intersects the y-axis at y = -1. Then the slope-intercept equation is ...

 y = x -1 . . . . . equation of parallel line

__

The perpendicular line will have a slope that is the opposite reciprocal of the slope of the given line: m = -1/1 = -1

A point that is 1 unit right and 1 unit down from the given point is -3 on the y-axis. This is the y-intercept of the perpendicular line. The equation is ...

 y = -x -3 . . . . . equation of perpendicular line

Mikey's family is taking a road trip. Their car can travel no more than 260 miles without needing to refill the gas tank. They have traveled 112 miles since they last filled the gas tank.

Mikey knows that the inequality representing this situation is 112+x≤260.

Select from the drop-down menu to correctly interpret the solution of this inequality.

Mikey's family can drive
at most 148
more miles before they need to refill the gas tank.
Answers choices are:
More than 372
More than 372
at most 148
at least 148

Answers

The solution to the inequality is that Mikey's family can drive at most 148

Inequality shows the non equal comparison of numbers or expressions.

Given that Mikey situation can be represented by the inequality:

112 + x ≤ 260

Solving the inequality:

112 + x ≤ 260

Subtract 112 from both sides of the equation:

112 + x - 112 ≤ 260 - 112

x ≤ 148

Hence from the inequality, we can see that Mikey's family can drive

at most 148

Find out more at: https://brainly.com/question/25285332

75% of what equals 30

Answers

Answer:

30 is 75% of 40

Step-by-step explanation:

We have, 75% × x = 30 or, 75/100 x = 30. Multiplying both sides by 100 and dividing both sides by 75,  x = 40.

And if you are using a calculator, simply enter 30×100÷75, which will give you the answer.

Hey there!

75% of ? = 30

75% of x = 30

75/100 * x = 30

75 ÷ 25 / 100 ÷ 25 * x = 30

3/4 * x = 30

MULTIPLY 4/3 to BOTH SIDES

4/3 * 3/4x = 4/3 * 30

CANCEL out: 4/3 * 3/4 because that gives you 1

KEEP: 4/3 * 30 because it helps solve for your answer

x = 4/3 * 30

SIMPLIFY IT

x = 40

Therefore, 75% of [40] = 30

Answer: 40

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

5. Use the point-slope formula to determine the equation of a line that passes through the points (1, 2) and (-2, 1).

Answers

Answer:

In point-slope form the equation is:

[tex]y - 2 = \binom{1}{3} \times (x - 1)[/tex]

Help please

Answer question 2 please

Answers

On the list of facts, the second fact says "A quarter of the nuts are walnuts.".

A quarter of 956 is => 239 <= .

What is the solution to the following equation?
2(3х – 7) + 18 = 10

Answers

[tex]⇒2(3x - 7) + 18 = 10 \\ 6x - 14 + 18 = 10 \\ 6x - 32 = 10 \\ 6x = 10 + 32 \\ 6x = 42 \\ x = \frac{42}{6} \\ x = 7[/tex]

Answer:

x = 1

Step-by-step explanation:

2(3x - 7) + 18 = 10 ( subtract 18 from both sides )

2(3x - 7) = - 8 ( divide both sides by 2 )

3x - 7 = - 4 ( add 7 to both sides )

3x = 3 ( divide both sides by 3 )

x = 1

Other Questions
Explain two ways you can benchmark percents to find 60% of 280 Question 6 of 10Claim: Schools should decrease class size by hiring moreteachers.Which statement is an example of a commonsense counterclaim to the claimabove?A. A decrease in class size would require more teachers, whichwould be too expensive.OB. Research has shown that smaller classes don't necessarily equalbetter instruction.O C. Students say they enjoy larger classes more than smaller classes.O D. Currently, 60 percent of all classes have no more than 30 studentseach.PREVIOUS Write a 3 sentence summary on "What We Mean When We Say the People" by Edmund Burke Write the equation of the line in fully simplified slope-intercept form In pea plants, the gene for the color of the seed has two alleles. In the following Punnett square shown below, the dominant allele (Y) represents yellow and the recessive allele (y) represents green.Based on the Punnett square, what percentage of offspring would be expected to have green seeds?Screenshot below if u don't understand and the diagram :) 8. Fit a quadratic function to these three points:(2, 8), (0, 4), and (4, 68)A. y = 2x2 2x 4B. y = 2x2 + 2x 4C. y = 4x2 + 2x 4D. y = 4x2 2x 4 PromptYou are working on a school project with several classmates and all of your school supplies get mixed up together. Write five sentences IN GERMAN telling which supplies belong to which person.Make sure and use a posessive adjective in each sentence.Example: Mark - Das ist sein Buch.These are the classmates you were working with: DetlevDie Zwillinge (the twins)SusieHannayour best friend please help me solve this problem. Which value is FURTHEST from 0 on the number line?20-21|20.5||-21.5| Which of the following fractions is less than 1options: a) 1 1by4 b) 3/4 c) 5/4 d) 2 3by4 Can someone please help?1st Select:A. GraniteB. BasaltC. Metamorphic RocksD. Sedimentary Rocks2nd Select:A. GraniteB. BasaltC. Metamorphic RocksD. Sedimentary Rocks After cytokinesis I of meiosis, the chromosomal makeup of each daughter cell is?a) haploid, and the chromosomes are each composed of a single chromatid b) haploid, and the chromosomes are each composed of two chromatids (which might be unique due to cross over)c) diploid, and the chromosomes are each composed of two IDENTICAL chromatidsd) haploid, and the chromosomes are each composed of two IDENTICAL chromatidse) tetraploid, and the chromosomes are each composed of two chromatids (which might be unique due to crossover)f) diploid, and the chromosomes are each composed of two chromatids (which might be unique due to cross over) Determine a series of transformations that would map Figure O onto Figure P. Campbell's, the soup manufacturer, maintains a low-level of advertising during the entire year, but Campbell's advertises heavily during the winter months when people are cold and looking for something to help warm them up. What kind of advertising strategy is Campbell's most likely using Which agency would most likely regulate satellites used for worldwide communication? the FCC NASA the CIA the SEC the most likely explanation for economies of scale is Josh, Ben and Rick have 70 marbles altogether. The ratio of the number marbles Josh has to the number of marbles Rick has is 1: 2. However, Ben has 15 marbles fewer than Rick. How many marbles does Ben have? Most water is used for irrigation and crop. What is one way to help conserve water in relation to agriculture? Where did christianity spread by 1200 ce. Questions4. Which of the following BEST describe the purpose of Fitzgeralds inclusion of the last two sentences in the excerpt on the previous page (detailing the drawbridge and the fact that the train always must stop there)? a. These details highlight the carelessness of society during the Roaring 20s. b. These details demonstrate Nicks attitude toward this new society, because he does not want to meet Toms mistress Myrtle. c. These details serve as foreshadowing for Nicks first mysterious meeting with his neighbor Gatsby at the party he attends later on. d. These details emphasize the contrast between the glamour of Long Island/NYC and the poverty of the Valley of Ashes because the train stop is a reminder of the lower class.5. At the beginning of Chapter 3, Fitzgerald spends 2 pages describing Gatsbys party preparations: Every Friday five crates of oranges and lemons arrived from a fruiterer in New Yorkevery Monday these same oranges and lemons left his back door in a pyramid of pulpless halvesAt least once a fortnight a corps of caterers came down with several hundred feet of canvas and enough colored lights to make a Christmas tree of Gatsbys enormous gardenWhich of the following BEST describes Fitzgeralds purpose in including all of this detail? a. This description demonstrates just how reckless and lawless Gatsby is, because he spends all of his money to consume alcohol with strangers every weekend. b. This description reveals Gatsbys obsession with citrus fruits and caterers, which shows how he fixates on certain items to an extreme. c. This description mirrors Gatsbys meticulous preparations and highlights the extravagance that goes into each party, demonstrating that Gatsby is clearly putting on a show. d. This description reveals shows how overwhelmed Nick is by his next door neighbor.6. Fitzgerald uses imagery and deliberate word choice to create the reckless atmosphere of Gatsbys party in Chapter 3. Which of the following pieces of textual evidence BEST contributes to this atmosphere? a. I had taken two finger-bowls of champagne, and the scene had changed before my eyes into something significant, elemental, and profound. b. ...girls were putting their heads on mens shoulders in a puppyish, convivial way, girls were swooning backward playfully into mens arms, even into groups, knowing that someone would arrest their falls c. Instead of rambling, this party had assumed a dignified homogeneity, and assumed to itself the function of representing the staid nobility of the countryside--East Egg condescending to West Egg, and carefully on guard against its spectroscopic gayety. d. The lights grow brighter as the earth lurches away from the sun, and now the orchestra is playing yellow cocktail music, and the opera of voices pitches a key higher.