X^2+10x+22=13 1. Rewrite the equation by completing the square your equation should look like (x+c)^2 = d or (x-c)^2=d 2. What was the solution to the equation?

Answers

Answer 1

Answer:

(x+5)² = 16

Solution: -1 and -9

Step-by-step explanation:

Given the quadratic equation X^2+10x+22=13

Subtract 22 from both sides

X^2+10x+22-22=13-22

x^2+10x = -9

Complete the square

Add the square of half of coefficient of x to both sides

coefficient of x = 10

half of coefficient of x = 10/2 = 5

square of half of coefficient of x= 5² = 25

Add 25 to both sides

x²+10x + 25 = -9+25

(x+5)² = 16

Hence the required equation is (x+5)² = 16

(x+5)² = 16

square root both sides

√(x+5)² = √16

x+5  = √16

x +5 = ±4

x = +4 - 5 and -4-5

x = -1 and -9

Hence the solution to the equation is -1 and -9


Related Questions

6x – 8y = -94
-X + 8y = 49
a. Subtract to eliminate y.
b. Subtract to eliminate x.
c. Add to eliminate y.
d. Add to eliminate x.

Answers

Answer:

photomath, assistant in mathematics, will decompose everything and give the correct answer.

Un escalador sube 225m de altura. El asenso lo hizo en 3 etapas. En la primera subio un quinto en la, en la tercera un cuarto. ¿cuanto hizo en la segunda?

Answers

Answer:

Segunda etapa= 123.75 metros

Step-by-step explanation:

Altura total= 225 metros

En la primera estapa subió el 20% (un quinto):

Primera etapa= 225*0.2= 45 metros

En la tercera etapa subió 25% (un cuarto):

Tercera etapa= 225*0.250 56.25 metros

Ahora debemos determinar cuánto subió en la segunda etapa:

Segunda etapa= altura total - total subido

Segunda etapa= 225 - (45 + 56.25)

Segunda etapa= 123.75 metros

SOMEONE ANSWER THESE ASAP

MARKING BRAINLIEST

PLEASE HELPPPPP

Answers

Sorry this took a while; calculated a lot of things.

Step-by-step explanation:

A.

Combined:

2.67 times 23.76 = 63.4392

2.67 times - 21 and 5/6 = -58.295

63.4392 - 31.85 -58.295 = -26.7058

If you mean do both separate:

63.4392 - 31.85 = 31.5892

-58.295 - 31.85 = -90.145

B.

Combined:

11 and 3/4 times 23.76 = 279.18

11 and 3/4 times 21 and 5/6 = 256.541666667

279.18 + 256.541666667 + 56 and 3/8 = 592.096666667

If you mean do both separate:

279.18 + 56 and 3/8 = 335.555

256.541666667 + 56 and 3/8 = 312.916666667

A local little league has a total of 60 ​players, of whom 40​% are left​-handed. How many left ​- handed players are​ there?

Answers

Answer:

24 players

Step-by-step explanation:

Answer:

24. 60 X 4/10 is 24

Step-by-step explanation:

1. The fare of 12 kg of luggage for a distance of 36km is 24 rupees
How much fare will be charged for a luggage of 18kg for a distance
of 12km?​

Answers

Answer:

16 rs maybe not sure sry if wrong

A room has a perimeter of 40 feet. The length is 4 less than 2 times the width. What are the dimensions of the room?

Answers

Answer:

First, develop an equation for this scenario. The formula to find the perimeter of a quadrilateral is 2l+2w. Because the length is 4 less than twice the width, this would be translated to (2w-4). Plug this into the variable for the length to get 2(2w-4)+2w=40. Distribute the 2 to get 4w-8+2w=40. Add the like terms to get 6w-8=40. Add 8 to both sides and get 6w=48. Divide 6 to result with w=8.

Now that we know w, we can substitute 8 into the variable to solve for the length. 2l+2(8)=40. Multiply 8 and 2 to get 2l+16=40. Subtract 16 to both sides to get 2l=24. Divide 2 to both sides to result with l=12.

Length = 12 feet

Width = 8 feet

22 foot ladder is placed against a vertical wall of building with the bottom of the ladder standing on level ground 9 feet from the base of the building how high up the wall does the ladder reach

Answers

Answer:

20.1 feet

Step-by-step explanation:

We solve the above question using the Pythagoras Theorem

The Pythagoras Theorem =

Opposite² + Adjacent ² = Hypotenuse²

From the above question,

Opposite side = Height of the wall = x

Adjacent side = Distance from the base of the building = 9 feet

Hypotenuse = Length of the ladder = 22 feet

Hence:

x² + 9² = 22²

x² = 22² - 9²

x = √22² - 9²

x = √403

x = 20.0748599 feet

Approximately = 20.1 feet

Therefore, the height of the wall = 20.1 feet

The temperature in Minneapolis changed from -7 °F at 6 A.M. to 7°F at noon. How much did the temperature increase?

Answers

Answer:

14 degrees F

Step-by-step explanation:

Answer:

Step-by-step explanation:

from -7 degrees F to 0 are 7 degrees change

from 0 to 7 are also 7 degrees,

in total are 14 degrees in change

What is the sum of i° + k°?

Answers

Answer

1 + 32 + 243 + 1024 + .. + n5

Step-by-step explanation:

Please help I need it for today

Answers

Step-by-step explanation:

Disculpe pero de qué grado es usted para ayudarle un poquito más mejor

0510006 please answer this
what is 8*29

Answers

Answer:

8*29=232

Step-by-step explanation:

if you take 8*20 you get 160

if you take 8*9 you get 72

Add them and you get 232

what is the percent of change from 85 to 64

Answers

Answer:

-24.71%

Step-by-step explanation:

Solve for x
Solve for x

Answers

Answer:

23.1

Step-by-step explanation:

14/20*x/33

Cross multiply

14*33=20*x

462=20*x

462/20=x

23.1=x

Hope this helps :)

Answer:

According to the ratio of segments:-

[tex]\frac{20}{14} =\frac{33}{x}[/tex]

[tex]20x=14(33)[/tex]

[tex]20x=462[/tex]

[tex]x=\frac{462}{20}[/tex][tex]=23.1[/tex]------------------------hope it helps...have a great day!!

how much is 28 yards in feet

Answers

it would be 84 feet hope this helped

Answer:

The correct answer is 84 feet.

Step-by-step explanation:

Each yard is  3 feet so then 3 times 28 equals 84.

HAVE A GOOD DAY!

Brainliest????

1 and 1/3 - 5/6
(ill mark when 2 answers)
(have a good day )
(HELP MEH PLZZ)

Answers

Answer:

1 1/3 - 5/6 = 1/2

Step-by-step explanation:

First we will need to make a common denominator on both sides, so since we have the second side divided in six, we can do the same to the first side as shown;

1/3 = 2/6

now this will help us a lot, now all we have to do is take what we can out of the fraction (2/6) out of the first side so it is equal to 0, NOTE this is not a professional way to do it but it helps me a lot;

5/6 - 2/6 = 3/6

this makes it easy all of a sudden, cause now its in a simpler form, we can tell this because we know that 3/6 is equal to 1/2, so now all we have to do is take 1/2 from our 1 that we are left over with, and VWOLA;

1 - 1/2 = 1/2

GRAND TOTAL;

1 1/3 - 5/6 = 1/2

(note: the space between the 1 and the 1/3 indicates that they are two separate numbers, so you dont have to put the 'and' there)

um sapato é vendido a r$ 180,00. se a compra for a vista a loja oferece um desconto de 10%. qual o valordo sapato na compra a vista?​

Answers

Preço de um sapato = $ 180,00

Desconto concedido se o sapato for comprado em dinheiro = 10%

Custo do calçado quando comprado à vista :

[tex] =\tt 180 - 10\% \: \: de \: \: 180[/tex]

[tex] = \tt180 - \frac{10}{100} \times 180[/tex]

[tex] =\tt180 - \frac{10 \times 180}{100} [/tex]

[tex] = \tt180 - \frac{1800}{100} [/tex]

[tex] =\tt 180 - 18[/tex]

[tex]\color{plum} =\tt\$162.00[/tex]

▪︎Assim, preço do sapato quando comprado em dinheiro = $ 162,00

Martha spent $12.35 at the local farmer's market. She bought 3 bundles of collards and paid $4.30 for some fruit. How much did each bundle of collards cost?

Answers

Answer:

12.35-4.30=8.05

8.05÷3= 2.68333333333333....

            ≈2.68

Help me it is an hw due soon please

Answers

Answer:

1st is 1/4 and 2nd is 1/10

Sami has 12 Balloons . 2/3 of them are Green and the rest is Red balloons. What's is the ratio of Green to Red balloons

Answers

8:4 or 2:1 simplified

5 years ago, john was half the age he will be in 8 years. How old is he?

Answers

Answer: John is now 18 years old

Step-by-step explanation:

Let, John's age is now x years.

5 years ago, he was (x - 5) years old

In 8 years, he will be (x + 8) years old

By the given condition,

x - 5 = 1/2 (x + 8)

⇒ 2 (x - 5) = x + 8

⇒ 2x - 10 = x + 8

⇒ 2x - x = 8 + 10

⇒ x = 18

Which of the following interpretations for the given expression is correct?



A.
The sum of 2 and the quotient of 9 and 3.

B.
The product of 2 + 9 and 3.

C.
The quotient of 2 + 9 and 3.

D.
The sum of 2 and the product of 9 and 3.

Answers

Answer:

the answer is the quotient of 2+9 and 3

How much will
11. The markup on a restaurant meal is 250%. A meal costs $7.30 to produce.
the customer be charged before tax and tip?

hsdhjdjs

Answers

Answer:

2.5t 7.3=18.25

Step-by-step explanation:

250/100,please mark as brilliant

HELP! 6th grade work due today pleaseeeeee

Answers

Answer:

s = 5 feet

Step-by-step explanation:

.................

Rule: multiply by 2 Pattern: 3,6,12,24,48 Observation: Observation = something similar about the numbers

Answers

Step-by-step explanation:

This numerical sequence corresponds to a geometric progression, which occurs when there is a multiplication of the sequence numbers for a common reason whose result will always be the successor number of the numerical sequence.

Like for example:

3,6,12,24,48

The common reason for the geometric progression is the number 2, so the first term of the sequence multiplied by 2 will be equal to the second term of the sequence and so on:

3x2 = 6

6x2 = 12

12x2 = 24

24x2 = 48

It is necessary to emphasize that the ratio of a geometric progression will always be constant and will always be a number other than zero.

Using suitable identity find 5.62

− 0.32​

Answers

Answer:

5.62 - 0.32= 5.3 or 5.30

Step-by-step explanation:

Anthony went shopping for a new pair of sneakers. Sales tax where he lives is 4%. The price of the pair of sneakers is $37. Find the total price including tax. Round to the nearest cent

Answers

Answer:

$38.48

If this helps, make sure to rate it 5 stars and give me brainliest and a thanks!

When graphing a system of equations with INFINITE SOLUTIONS,
the SLOPES of the two lines will be__________.

Answers

Answer:

Step-by-step explanation:

Hgbuf7g

The slopes of the two lines will be straight

Intro to slope-intercept form What is the y-intercept of the line represented by y = -6x – 11? Choose 1 answer: А (0, -6 B (0, -11) (-6,0) D (-11,0) Check About


pls help i suck at math​

Answers

Answer:

d

Step-by-step explanation:

B. it’s not D because (-11,0) is along the x-axis not the y-axis.

In a circle, an angle measuring pie over 2 radians intercepts an arc of length 1 pie. Find the
radius of the circle in simplest form.

Answers

Answer:

2 units

Step-by-step explanation:

We are given that

Angle ,[tex]\theta=\frac{\pi}{2}[/tex]radian

Length of an arc=[tex]\pi[/tex]

We have to find the radius of circle in simples form.

We know that

[tex]\theta=\frac{l}{r}[/tex]

Where l=Length of arc

r=Radius of circle

Using the formula

[tex]\frac{\pi}{2}=\frac{\pi}{r}[/tex]

[tex]r=\frac{2\times \pi}{\pi}[/tex]

[tex]r=2[/tex]units

Hence, the radius of the circle=2 units

Find the area of the triangle below.
Be sure to include the correct unit in your answer.
Please

Answers

Answer:

Step-by-step explanation:

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