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

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).

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

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Answer:

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

Step-by-step explanation:

the second one

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

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Answer:

Enjoy.

Step-by-step explanation:

school

Answer:

Step-by-step explanation:

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

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.

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

0.05 is 1/10 of a decimal as

Answers

Answer:

1/10 =0.1 in decimal

Step-by-step explanation:

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

Answers

11 per hour
17 per hour
3 hours
4hours

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

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

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.

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

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

Answers

Answer:

x=−14

Step-by-step explanation:

I hope this helps you

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

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

IF YOU GET IT RIGHT THeN YOULL GET BRAINLIEST

Answers

Answer:

-51

Step-by-step explanation:

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

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

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

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


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

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

15/49 converted into decimal

Answers

Answer:

0.30612244897959

Step-by-step explanation:

It would be .306122449

The Grand Canyon is 277 miles long and 18 miles wide. A study was completed where 17
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Grand Canyon?

Answers

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

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

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

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]

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

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

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