solve the equation x2-4x+6=0 by completing the square

Answers

Answer 1

Answer:

X= i√2

Step-by-step explanation:

Answer 2
Answer:

x2-4x+6=0

We add all the numbers together, and all the variables

x^2-4x+6=0

a = 1; b = -4; c = +6;
Δ = b2-4ac
Δ = -42-4·1·6
Δ = -8
Delta is less than zero, so there is no solution for the equation

Related Questions

1. The height of a storage container for an artwork is 3 feet more than 3 times its
width. The height of the container is 18 feet. The following equation can be used to
find w, the width of the container.
3w + 3 = 18
What is the width of the container?
A. 3 ft
B.5 ft
C. 7 ft
D. 57 ft

Answers

5 because 18-3=15
15 ÷ 3 = 5
I’m sorry if I’m wrong I’m pretty sure though

Find the area of the shape below.
10 cm
27 cm
9 cm
24 cm

Answers

the area of shape below is 42

The area of the shape is 396 square cm.

What is a rectangle?

A rectangle is one of the types of quadrilaterals in which all four angles are right angles or equal to 90 degrees. It is four-sided polygon in which the opposite sides are parallel and equal to each other.

For the given situation,

The diagram shows the polygon.

Let us consider the polygon as two rectangles as opposite sides are parallel and all the angles are right angle as shown below.

The rectangle ABCD has the dimensions length is 10 cm and breadth is 27 cm.

The rectangle DEFG has the dimensions length is 14 cm and breadth is  9 cm.

Thus the area of the polygon is the sum of areas of rectangle ABCD and DEFG.

The formula of area of rectangle, [tex]A =( length)(breadth)[/tex]

Then total area of the shape is

⇒ [tex](27)(10)+(14)(9)[/tex]

⇒ [tex]270+126[/tex]

⇒ [tex]396[/tex]

Hence we can conclude that the area of the shape is 396 square cm.

PLEASE HELP ME!! 30 point will be given and brainliest.

question: which statements are NOT TRUE? select all that apply.
a. the slope of AC is equal to the slope BC.
b. the slope of AC is equal to the slope of BD
c. the slope of line t is equal to EC/AE
d. the slope of the line t is equal to AE/FD

Answers

Answer:

it it b

Step-by-step explanation:

Find a value of x that is a solution to 5(x – 3) = x + 13. Describe how you found the solution.

Write your answer in the space below.

Answers

Answer:

x=7

because distributive property and addition and subtraction

Answer:

x = 7

Explanation:

5(x – 3) = x + 13

Expand 5(x - 3): 5x - 15

5x - 15 = x + 13

Add 15 To Both Sides

5x - 15 + 15 = x + 13 + 15

Simplify

5x = x + 28

Subtract x From Both Sides

5x - x = x + 28 - x

Simplify

4x = 28

Divide Both Sides By 4

4x / 4 = 28 / 4

x = 7

- PNW

The courtyard of an apartment complex is represented by the vertices T(4, 1), U(30, 11), and V(17, 36). Each unit represents 1 meter. A bench is located at the centroid of the courtyard. Which ordered pair gives the coordinates of the centroid?

Answers

Answer:

[tex](x,y) = (17,16)[/tex]

Step-by-step explanation:

Given

[tex]T(x_1,y_1) = (4, 1)[/tex]

[tex]U(x_2,y_2) = (30, 11)[/tex]

[tex]V(x_3,y_3) = (17, 36)[/tex]

Required

Determine the coordinates of the centroid

The coordinate is calculated as:

[tex](x,y) = (\frac{1}{3}(x_1+x_2+x_3),\frac{1}{3}(y_1+y_2+y_3))[/tex]

Substitute values for x's and y's

[tex](x,y) = (\frac{1}{3}(4+30+17),\frac{1}{3}(1+11+36))[/tex]

[tex](x,y) = (\frac{1}{3}(51),\frac{1}{3}(48))[/tex]

[tex](x,y) = (\frac{51}{3},\frac{48}{3})[/tex]

[tex](x,y) = (17,16)[/tex]

Hence, the coordinates of the centroid is (17,16)

The air force reports that the distribution of heights of male pilots is approximately normal, with a mean of 72.6 inches and a standard deviation of 2.7 inches. Part A: A male pilot whose height is 74.2 inches is at what percentile? Mathematically explain your reasoning and justify your work. (5 points) Part B: Air force fighter jets can accommodate heights of soldiers between 70 inches and 78 inches without compromising safety. Anyone with a height outside that interval cannot fly the fighter jets. Describe what this interval looks like if displayed visually. What percent of male pilots are unable to fly according to this standard? Show your work and mathematically justify your reasoning. (5 points)

Answers

Answer:

Step-by-step explanation:

Given that X -  the distribution of heights of male pilots is approximately normal, with a mean of 72.6 inches and a standard deviation of 2.7 inches.

Height of male pilot = 74.2 inches

We have to find the percentile

X = 74.2

Corresponding Z score = 74.2-72.6 = 1.6

P(X<174.2) = P(Z<1.6) = 0.5-0.4452=0.0548=5.48%

i.e. only 5% are below him in height.

Thus the malepilot is in 5th percentile.

In which direction is the moon revolving around the Earth?
A. Right
B. Up
C. Left
D. Down

Answers

Answer:

d

Step-by-step explanation:

Answer:
C)Left

Explanation:
The moon orbits the sun the same way our planets rotate

HELP ME PLEASE! I Don't UNDERSTAND!!

Answers

Answer:

4.123

Step-by-step explanation:

Answer: 4.12

"you should rlly get to know this"

btw ^2 means to the power to 2

Step-by-step explanation:

a^2 + b^2 = c^2

in this case, u don't have "a"

the slanted side is "c"

a^2 + 8^2 = 9^2

a^2 + 64 = 81

a^2 = 81 - 64

a^2 = 17

         ___

a = _/ 17

a = 4.12

9. Sue earned $120 for 15 hours of work. Which equation represents the relationship between the hours
worked, x, and Sue's pay y
A y = 8x
By= 18x
C y = 120x
Dy = 9x

Answers

Answer:  C = 120x

Have a nice day:

9514 1404 393

Answer:

  A  y = 8x

Step-by-step explanation:

We are given that y = 120 when x = 15, and we assume that pay is proportional to hours worked. That is ...

  y = kx

  k = y/x = 120/15 = 8

So, the relation between hours worked (x) and Sue's pay (y) is ...

  y = 8x

Let's find the slope of the following lines!​

Answers

Answer:

The slope is [tex] \frac{3}{4} [/tex]

Step-by-step explanation:

Slope = [tex] \frac{rise}{run} [/tex]

(I heard you saying that u had more lol)

f(6)=4(6)+10. Find the value of f(6)

Answers

Answer:

34

Step-by-step explanation:

4-6+10=34

Part D
Now group the terms in the expression in part C using the Associative Property.

Answers

Answer:

70 + (-30) + 2 + (-9) + 0.3 + (-0.1) = [70 + (-30)] + [2 + (-9)] + [0.3 + (-0.1)] explanation:

Exact answer

HELP PLS QUICK ANYONEEEEEEEPSLSPSPSLSLSLS

Answers

okay so what you would do is find a number both denominators ( number under fraction line ) would go into. in this case it would be 8, 4 can go into 8 twice and 8 can go into 8 once. you would do 4 times the number to get to 8 which is 2 so 4 x 2= 8, and then what u multiply the denominator by, you multiple the numerator by, 3 x 2 = 6 therefore it would be 6 6/8 and 10 3/8 then 10+6=16+ 6/8 + 3/8 would be 17 1/8... hope this helps :)

The graph of an exponential function is shown on the grid. Which dashed line is an asymptote for the graph?

Answers

Answer:

It’s line S

Step-by-step explanation:

Don’t ask how Ik, just trust the process...Nd quizzez

The asymptote for the given exponential function shown in the graph is line r. Option b is correct.

What is an asymptote?

An asymptote is a straight line or curve that a graph approaches but never touches. Asymptotes can occur in various types of graphs, including functions, equations, and curves. In a function, an asymptote can occur when the function approaches a certain value as the input variable approaches infinity or negative infinity.

Here,

Asymptotes can be vertical, horizontal, or slanted, and they can occur on either side of the graph. Asymptotes are important in mathematical analysis, as they can help determine the behavior of a function or equation as the input variable increases or decreases without bounds.

So, the asymptote for the given exponential function shown in the graph is line r. Option b is correct.


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a circle with a 12 inch diameter is folded in half and then folded in half again to create a quarter circle. what is the perimeter of this shape? HELP ME PLEASE​

Answers

Answer:

i think its 3

Step-by-step explanation:

because have of 12 is 6 and half of 6 is 3

Answer:

21.42 in

Step-by-step explanation:

It will have a perimeter of:

r + r + 1/4C =2r + 1/2πr = 12 + 1/2*6*3.14 = 12 + 9.42 = 21.42 in

A card has p meters of lace edging wound on it. Nerys buys n lengths of edging, each x cm long. If Q meters of edging are left on the card, find a formula for Q in terms of P, n and x

Answers

Answer:

Q = P - n(x/100)

Step-by-step explanation:

P is the total number of lace edging, n is the number of times the length x is cut from P, and Q is the remnant of the reduction.

So the number of x length is subtracted from P and must be converted to meters (since it is in centimeters) to get Q. That is;

Q = P - n(x/100)

The table shows the total number of U.S. participants in four high school sports over several school years. What was the percent decrease in basketball participants from 2013 2014 to 2014 ​2015?
The percent decrease in basketball participants from 2013 2014 to 2014 2015 is
​(Round to the nearest tenth as​ needed.

Answers

Answer:

Baseball 482,740 36,011 7.5% 2.2% 2.3% 2.9%

Basketball 540,769 18,816 3.5% 1.0% 1.0% 1.4%

Cross Country 269,295 14,303 5.3% 1.8% 1.4% 2.1%

Football 1,006,013 73,712 7.3% 2.9% 1.9% 2.5%

Golf 143,200 8,485 5.9% 2.0% 1.6% 2.2%

Ice Hockey 35,283 4,323 12.3% 4.8% 0.6% 6.8%

Lacrosse 113,702 14,603 12.8% 3.1% 2.5% 7.3%

Soccer 459,077 25,499 5.6% 1.3% 1.5% 2.7%

Swimming 136,638 9,799 7.2% 2.8% 1.2% 3.2%

Tennis 159,314 7,785 4.9% 1.6% 1.0% 2.3%

Track & Field 605,354 28,914 4.8% 1.9% 1.2% 1.7%

Volleyball 63,563 2,355 3.7% 0.7% 0.7% 2.3%

Water Polo 22,475 1,072 4.8% 2.7% 0.8% 1.3%

Wrestling 247,441 7,300 3.0% 1.0% 0.8% 1.2%

Women

Basketball 399,067 16,509 4.1% 1.3% 1.2% 1.7%

Cross Country 219,345 15,624 7.1% 2.7% 1.7% 2.7%

Field Hockey 60,824 6,119 10.1% 2.9% 1.4% 5.8%

Golf 79,821 5,436 6.8% 2.8% 1.9% 2.1%

Ice Hockey 9,650 2,531 26.2% 8.9% 1.1% 16.2%

Lacrosse 99,750 12,452 12.5% 3.7% 2.6% 6.2%

Soccer 394,105 28,310 7.2% 2.4% 1.9% 2.9%

Softball 362,038 20,419 5.6% 1.8% 1.7% 2.2%

Swimming 173,088 12,980 7.5% 3.3% 1.2% 3.0%

Tennis 189,436 8,596 4.5% 1.5% 1.0% 2.0%

Track & Field 488,267 30,326 6.2% 2.8% 1.5% 1.9%

Volleyball 452,808 17,780 3.9% 1.2% 1.1% 1.6%

Water Polo 21,735 1,217 5.6% 3.3% 1.1% 1.2%

Step-by-step explanation:

The percentage decrease in basketball participation from 2013-2014 to 2014-2015 is  0.35%.

What is the Percentage?

The Latin term "per centum," which signifies "by the hundredth," was the source of the English word "percentage." Segments with a denominator of 100 are considered percentages. In other terms, it is a relationship where the worth of the entire is always considered to be 100.

As per the given information in the question,

Number of basketball participants in 2013-2014 = 974,398

Number of basketball participants in 2014-2015 = 970,983

Then, the percentage decrease in the participants,

% decrease = (974,398 - 970,983)/ 974,398 × 100

% decrease = 0.35%.

To know more about Percentage:

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Solve the inequality for u.
u-13 <-7

Answers

Answer: We have u-13 < -7, and we want to get u by itself. So add -13 to +13 to -7 And 13 -7 is 6. So U has to be less than 6 = U < 6

Step-by-step explanation:

Answer:

u < 6

Step-by-step explanation:

u - 13 < -7

Add 13 to both sides

u - 13 + 13 < -7 + 13

Simplify

u < 6

Ryan sees this special offer.
The normal price is £180 What is 1/3 of £180?
Write your working and your answer in the box below.

Answers

Answer:

60

Step-by-step explanation:

1/3 of 180 is 60...bshsjka

If Cos 30=3/5 , then Sinx = 3/5 . Find x

Answers

Answer:

x = 60

mark me as Brainliest

Step-by-step explanation:

You cdn thank me in the comment

El lunes joe compró 10 tazas de café y 5 donas para su oficina a un costo total de 16.50 el martes compró 5 tazas de café y 10 donas por un costo total de 14.25 ¿cuánto costaba cada taza de café?

Answers

Answer:

Cada taza de café costaba 1.25

Step-by-step explanation:

Un sistema de ecuaciones lineales es un conjunto de ecuaciones lineales que tienen más de una incógnita. Es decir, un sistema de ecuaciones es un conjunto de dos o más ecuaciones con varias incógnitas.

Resolver un sistema de ecuaciones consiste en encontrar el valor de cada incógnita para que se cumplan todas las ecuaciones del sistema.

En este caso, para definir el sistema de ecuaciones es necesario definir las variables:

x: precio de una taza de caféy: precio de una dona

Entonces si el lunes Joe compró 10 tazas de café y 5 donas para su oficina a un costo total de 16.50, se puede plantear la ecuación: 10*x +5*y=16.50

Si el martes Joe compró 5 tazas de café y 10 donas por un costo total de 14.25, podes plantear la ecuación: 5*x + 10*y=14.25

Entonces el sistema de ecuaciones a resolver es:

[tex]\left \{ {{10*x+5*y=16.50} \atop {5*x+10*y=14.25}} \right.[/tex]

Se desea conocer el valor de cada taza de café, es decir, el valor de x. Para eso podes usar el método de sustitución, que consiste en despejar una de las incógnitas en una de las ecuaciones y sustituir su valor en la siguiente.

En este caso aislas el valor de y de la primer ecuación:

[tex]y=\frac{16.50-10*x}{5}[/tex]

Reemplazando en la segunda ecuación:

[tex]5*x+10*\frac{16.50-10*x}{5}=14.25[/tex]

y resolviendo obtenes:

[tex]5*x+\frac{10}{5}*(16.50-10*x)=14.25[/tex]

[tex]5*x+2*(16.50-10*x)=14.25[/tex]

5*x + 2*16.50 -2*10*x=14.25

5*x + 33 - 20*x=14.25

5*x - 20*x=14.25 - 33

(-15)*x= -18.75

x= (-18.75)÷(-15)

x= 1.25

Entonces, cada taza de café costaba 1.25

2. What is the equation of the line with a y-intercept of (0,8) and a slope of
-2? *
A. y = 8x + 2
B. y = -8x-2
C. y = 2x + 8
D. y = -2x +8

Answers

Answer:

C

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 2 and c = 8, then

y = - 2x + 8 → C

Answer:

Step-by-step explanation:

solve 10x-10g(4x-2)=1 ​

Answers

Answer:

Below

Step-by-step explanation:

x=[tex]\frac{1-20g}{10(1-4g)}[/tex]

Answer:

using BODMAS=(4x-2)=(2x)

10x-10g(2x)=

10x=10+(2x)=

10x=20x

divide both sides by 10

10x/10=20x/10

x=20/10

x=2


Solve for x.
10 m
42

Answers

Answer:

The measures of a pair of same-side exterior angles are 10w and 5v. ... Find the measure of angles 1-7 given that lines m and n are parallel and t is transversal. ... Solve for x. 120= 15x +5+ 22x +4. 120 = 37% +. 4. (X=3]. 6. Use the following figure, given that ... Find the measure of angle 1. m24 = 123, mZ1 = 2x, mZ2 = x +42.

Step-by-step explanation:

Kate had a sum of money,she spent 1/8 of the money on a skirt and the remaining amount on a handbag,the skirt cost $16,how much money did kate have at first?

Answers

Answer:

$18.28

Step-by-step explanation:

Step one:

given data

Kate had a sum of money,she spent 1/8 of the money on a skirt and the remaining amount on a handbag

let the total money be x

so  mathematically

x-1/8*x= 16

solve for x

x-x/8= 16

8x-x/8= 16

7x/8=16

cross multiply

7x= 8*16

7x=128

divide both sides by 7

x=128/7

x=$18.28

apply the distributive property to write an equivalent expression 21b+28c​

Answers

Answer:

7(3b + 4c)

Step-by-step explanation:  Find the GCF then factor it out from the expression.

plz help in three mins

Answers

Answer: So let’s switch the denominater to 12s 5 x 2 is 10/12. 1/2 is 6/12. 3/4 is 9/12. So 10/12 + 6/12 + 9/12 = 25/12 or 2 1/12 Hope this helps you

Step-by-step explanation:

Answer:

25/12

Step-by-step explanation:

1. Find the common denominator (least common multiple)

12

2. Find each fraction with a denomntor of 12

5/6 to 10/12

1/2 to 6/12

3/4 to 9/12

3. Add all of it

25/12

−8 (1 + x) + 7x PLEASE HELP

Answers

Answer:

-8-x or -x-8 or x=-8

Step-by-step explanation:

Distribute the -8 to the (1+x)

-8-8x+7x

then add the -8x+7x

-8-x or -x-8

and if you want to solve for x

x=-8

5. Decide whether each equation is true for all, one, or no values of x.
a. 2x + 8 = -3.5x + 19
b. 9(x - 2) = 7x + 5
C. 3(3x + 2) – 2x = 7x + 6

Answers

c doesn’t have a value , x equals 0 , x=0

What is the dance name of arunachal pradesh ?​

Answers

Answer:

Not trying to be rude, but you can look it up.

Step-by-step explanation:

Answer:

Some popular folk dances in Arunachal Pradesh are Aji Lamu, Chalo, Hiirii Khaniing, Popir, Ponung, Pasi Kongki, Rekham Pada, Roppi, Lion and Peacock dance. Most of the dance forms are accompanied by chorus songs.

Step-by-step explanation:

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