Which of the following is a solution of x2 + 4x = -8?
O x = -2 - 21
O x = 2 + 21
O x = -4 + 41
O x = 4 - 41

Answers

Answer 1

Answer:

[tex]x=2i-2,\:x=-2i-2[/tex]

Step-by-step explanation:

[tex]x^2 + 4x = -8\\\\\mathrm{Solve\:by\:completing\:the\:square}\\\\\mathrm{Write\:equation\:in\:the\:form:\:\:}x^2+2ax+a^2=\left(x+a\right)^2\\\\\mathrm{Solve\:for\:}a,\:2ax=4x:\quad a=2\\\\\mathrm{Add\:}a^2=2^2\mathrm{\:to\:both\:sides}\\\\x^2+4x+2^2=-8+2^2\\\\\mathrm{Simplify\:}-8+2^2:\quad -4\\x^2+4x+2^2=-4\\\\\mathrm{Complete\:the\:square}\\\left(x+2\right)^2=-4\\\\\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}\\[/tex]

[tex]\mathrm{Solve\:}\:x+2=\sqrt{-4}:\quad x=2i-2\\\\\mathrm{Solve\:}\:x+2=-\sqrt{-4}:\quad x=-2i-2\\\\x=2i-2,\:x=-2i-2\\[/tex]


Related Questions

Solve the equation for x. –1/2x – 3 = 4

Answers

Answer:

x=−14

Step-by-step explanation:

I hope this helps you

Vanya drove 405 miles in 9 hours. Chuy drove 350 miles in 7 hours. Alfredo drove 330 miles in 6 hours. Who was driving at the fastest speed? (fastest MPH/ fastest Unit Rate) Question 14 options: Vanya Chuy Alfredo

Answers

Answer:

350 miles in 7 hours

Step-by-step explanation:

1. find

if 9=405

1=v(represent with a variable

2. do the same for the others and select the highest number

find the value of [tex]\sqrt[3]{8}[/tex]

Answers

Answer:

∛8 = 2

Step-by-step explanation:

[tex]\sqrt[3]{8}[/tex]

=2

2*2*2 = 8

Find the distance from each vertex on the preimage ABC to the center of rotation p enter the values in the table do the same for each vertex on the other images

Answers

Answer:

Enjoy.

Step-by-step explanation:

school

Answer:

Step-by-step explanation:

Find 2 equivalent ratios to 3 : 5 PLSSSSS HELP ASAP

Answers

could it be.

15:25

30:50

if its wrong, then just report me

Estimation Solve the equation. First estimate using the perfect square closest to 46. Then use a
calculator
W2 = 46

Answers

Step-by-step explanation:

W^2 = 46.

We know that 6^2 = 36 and 7^2 = 49.

Therefore W should be between 6 and 7.

where is sandy mistake ive been trying for 30 mintues and still cant find it im not very good at math please help

Answers

Answer:

Sandy did not follow PEMDAS and added first instead of doing her multiplication and division and then her addition and subtraction the answer would be 18

The formula for profit is P = I – E solve the formula for E I need ASAP

Answers

Answer:

Step-by-step explanation:

I - E = P

-E = P - I

E = I  - P

I REALLY NEED THISSSSS
PLEASE HELP!!!!!!

Answers

11 per hour
17 per hour
3 hours
4hours

What value does the 8 represent in the number 865,202 ?

Answers

The value of 8 is 800,000.

The value of each digit in a number is known as the place value.  The place value of 8 in the number 865,202 is 800,000.

What is the place value of a digit in a number?

The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.

How do identify the place value of a digit in a number?

The place values on the left of the decimal point start as ones, tens, hundreds, and so on. The place value on the right of the decimal point starts from the point and goes to the right as tenths, hundredths and so on

The tens mean multiply by 10The tenth means the tenth part of that digit which is that digit divided by 10

The place value of 8 in the number 865,202 is 800,000.

Learn more about the Place Value:

https://brainly.com/question/27734142

#SPJ2

2. Is the data set "dollars of sales per week” quantitative or qualitative?

Answers

Answer:

this would be quantitative.

Step-by-step explanation:

because its an amount like dollars of sales per week so it would be quantitative or numbers

This is also due tonight..​

Answers

Answer: F,E,D

Step-by-step explanation: F,E,D is complementary to F,G,C because it is The angle F,E,D is a corresponding angle.

Classify by degree of polynomial:
3x3 - 6x

Answers

Answer:

polynomial of degree 3

Step-by-step explanation:

Given

3x³ - 6x

The degree of a polynomial is given by the exponent of the term with the largest exponent.

In this case 3x³ has exponent 3 and - 6x has exponent 1

Thus this is a polynomial of degree 3

IF YOU GET IT RIGHT THeN YOULL GET BRAINLIEST

Answers

Answer:

-51

Step-by-step explanation:

Lucy owns a bakery. She has 2 cakes baked and can bake 4 cakes every u want ur. Write an equation for the number of cakes baked, c in H, hours​

Answers

You type something in wrong don’t understand the question

~**Will mark brainliest **~
For the correct answers to all three questions

Answers

a)

[tex]\dfrac{42}{65}\cdot\dfrac{25}{36}\cdot\dfrac{26}{49}=\dfrac{2\cdot3\cdot7}{5\cdot13}\cdot\dfrac{5\cdot5}{2\cdot2\cdot3\cdot3}\cdot\dfrac{2\cdot13}{7\cdot7}=\dfrac{7}{13}\cdot\dfrac{5}{2\cdot3}\cdot\dfrac{2\cdot13}{7\cdot7}=\\\\\\=\dfrac{1}{1}\cdot\dfrac{5}{2\cdot3}\cdot\dfrac{2}{7}=\dfrac{5}{3}\cdot\dfrac{1}{7}=\dfrac{5}{21}[/tex]

b)

[tex]\dfrac{21}{32}\cdot\dfrac{39}{120}\cdot\dfrac{40}{65}=\dfrac{21}{32}\cdot\dfrac{3\cdot13}{2\cdot2\cdot2\cdot3\cdot5}\cdot\dfrac{2\cdot2\cdot2\cdot5}{5\cdot13}=\\\\\\=\dfrac{3\cdot7}{32}\cdot\dfrac{13}{2\cdot2\cdot2\cdot5}\cdot\dfrac{2\cdot2\cdot2}{13}=\dfrac{21}{32}\cdot\dfrac{1}{5}\cdot\dfrac{1}{1}=\dfrac{21}{160}[/tex]

c)

[tex]\dfrac{15}{90}\cdot\dfrac{36}{75}\cdot\dfrac{27}{42}=\dfrac{3\cdot5}{2\cdot3\cdot3\cdot5}\cdot\dfrac{2\cdot2\cdot3\cdot3}{3\cdot5\cdot5}\cdot\dfrac{3\cdot3\cdot3}{2\cdot3\cdot7}=\\\\\\=\dfrac{1}{2\cdot3}\cdot\dfrac{2\cdot2\cdot3}{5\cdot5}\cdot\dfrac{3\cdot3}{2\cdot7}=\dfrac{1}{1}\cdot\dfrac{2}{5\cdot5}\cdot\dfrac{3\cdot3}{2\cdot7}=\dfrac{1}{25}\cdot\dfrac{9}{7}=\dfrac{9}{175}[/tex]

The Smith family put a rectangular garden in their back yard. The garden measured 15 34 feet long and 13 13 feet wide. Which is the best estimate of the area of the Smith's garden? Response area

Answers

Answer:

201.4 feet

Step-by-step explanation:

Area of a rectangular garden = length × width

Length of the rectangular garden = 15.34 feet

Width of the rectangular garden = 13.13 feet

Area of a rectangular garden = length × width

= 15.34 feet × 13.13 feet

= 201.4142 feet

Approximately 201.4 feet

The Area of the rectangular garden = 201.4 feet

What's the length of side b in the figure?

Answers

Answer:

the answer is 91

you have to multiply 7 and 13 to get your answer

Factor Completely.
4x^3 - 6x^2 + 16x -24

Answers

Answer:

2(2x - 3)(x^2 -4)

Step-by-step explanation:

the second one

An airplane flies with a constant speed of 920 km/h. How far can it travel and 4 hours 12 minutes?​

Answers

Answer:

3,864 Km

Step-by-step explanation:

920/60=15.333333

15.33333*252=3,864

15/49 converted into decimal

Answers

Answer:

0.30612244897959

Step-by-step explanation:

It would be .306122449

Which would the phrase "the difference between a number and 5" look like as a variable expression?​

Answers

The phrase “the difference between a number and 5” as a variable expression would look like: x - 5


What is the y-intercept of the line that models this situation?

Answers

Since the slope is consistent the y intercept would be 70.

You can try drawing a line connecting the other dots and see what crosses the y intercept.

But if you want to do the actual math the formula is y=mx+b. B being the y intercept.

So find slope (rise over run) or (y2-y1)/(x2-x1) I’ll choose (1, 65) (2, 60)
m= 60-65/2-1= -5/1= -5.
Negative also means the line is sloped down.

Plug the slope back into the formula using one of the points to substitute.

Using (1,65) into y=mx+b
65=-5(1)+b
65 =-5+b
65+5=b
b= y-intercept= 70

For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation that will represent the cost.

Answers

Y= 3+5x That seems about right to me

I need help with this question. Also can you explain it to me? Thanks

Answers

Answer:

A: not a function

B: function

C: Not a function

D function

Step-by-step explanation:

A: doesn't pass vertical line test

B: No repeating x values, for every x-value there is only one y-value

C: X value has 2 y values

D: pass vertical line test

0.05 is 1/10 of a decimal as

Answers

Answer:

1/10 =0.1 in decimal

Step-by-step explanation:

The Grand Canyon is 277 miles long and 18 miles wide. A study was completed where 17
people can fit in a sample space that is 5 feet by 6 feet. How many people can fit in the
Grand Canyon?

Answers

2,825 i am almost sure this is the right answer i apologize if not

SIMPLE: 25 pts!!! Find the area A of the polygon with the given vertices:)

Answers

Hey there! I'm happy to help!

We see that points A and B are on the same horizontal line, and and they are 10 units apart. C and D are on their own horizontal line and they are also 10 apart. This means that this is a square, so we multiply one side by itself

10²=100

The area is 100 square units.

Have a wonderful day! :D

does someone know the other endpoint ​

Answers

Answer:

(-10,11)

Step-by-step explanation:

x-value:

-4-2=-6

-4-6=-10

y-value:

6-1=5

6+5=11

Answer:

the new end point is (-10,11).

Find CL if TL = 6

Can y’all help me or tell me if I got this right.

Answers

Answer:

Sorry bro you are wrong .

Here CL = 2

Step-by-step explanation:

Property of triangles Centroid divides the midian of the triangle into the ratio 2:1

Other Questions
How did European nationsincrease their wealth and power? write all subsets of the set (a,b,c) Is 0 a real, imaginary, or complex number? The Wichita Native Americans came to Texas from Kansas.Please select the best answer from the choices providedTF What kind of number is 92 and why? if you know the others that'd be great!! I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Is the underlined verb or verb phrase in the simple, progressive, perfect, or progressive perfect aspect? Aliza "found" fragments of ancient pottery. Choose 1 answer: (Choice A) Progressive perfect (Choice B) Perfect (Choice C) Simple (Choice D) Progressive A Prophetis an example of a? What was the commerce and slave trade compromise? At a carnival 7 out of 10 pepole order hotdogs if there is 90 pepole at the carnival how many of them did not order a hotdog Hi. I need help with these questions. Multiply2y-2u93y9u6Simplify your answer as much as possible. A teacher is researching the effect of what type of font she uses on a test and the scores on the test to see if there is arelationship. She randomly gives half her classes tests with Times New Roman font and half her classes tests with ComicSans font and then tracks their test scores for a semester. Which is this an example of?-experiment-simple random sample-observational study-convenience study What is the value expression for |-8| Choose as many answers as apply.Expenses that Joe does not pay monthly include:A. savingsB. new clothesC. taxesD. new TV budget Akito is warming a test tube over a Bunsen burner. He heats it too much and the glass breaks.Which best describes what Akito should do first? O get paper towelsO change lab stationsturn off the burnerremove his contacts Identify next three numbers in this sequence: 2, 6, 3, 9, 6, 18, 15 What attracted immigrants and rural people to the cities? (35 points) Hey please help quickly. :( Question 4Point P is presently located at the origin. Move P, and observe how the rotated images change. Be sure that neither the images nor the preimageoverlap. Record the distances of the vertices of the preimage AABC from P. Do the same for the other images. Round all of your answers to thehundredths place.Thanks so much Suppose we want a 99% confidence interval for the average amount spent on books by freshmen in their first year at college. The amount spent has a normal distribution with standard deviation $34. (a) How large should the sample be to guarantee the margin of error will be no more than $3?(b) If we wanted a smaller margin of error, we would need a sample. (Enter: ''LARGER'', ''SMALLER'' or ''SAME SIZE'', without the quotes.) How are ratios, rates, and unit rates used to solve problems?