Solve by completing the square x^2+6x+13=0

Answers

Answer 1

Answer:

x = -3 + 2 i or x = -3 - 2 i

Step-by-step explanation:

Solve for x:

x^2 + 6 x + 13 = 0

Hint: | Solve the quadratic equation by completing the square.

Subtract 13 from both sides:

x^2 + 6 x = -13

Hint: | Take one half of the coefficient of x and square it, then add it to both sides.

Add 9 to both sides:

x^2 + 6 x + 9 = -4

Hint: | Factor the left hand side.

Write the left hand side as a square:

(x + 3)^2 = -4

Hint: | Eliminate the exponent on the left hand side.

Take the square root of both sides:

x + 3 = 2 i or x + 3 = -2 i

Hint: | Look at the first equation: Solve for x.

Subtract 3 from both sides:

x = -3 + 2 i or x + 3 = -2 i

Hint: | Look at the second equation: Solve for x.

Subtract 3 from both sides:

Answer: x = -3 + 2 i or x = -3 - 2 i


Related Questions

how many minutes (min ) are in 2 hours?

Answers

Answer:

120

Step-by-step explanation:

1 hour = 60 minutes

2 hours = 2* 60 = 120 minutes

The shelter has 90 dogs and 150 cats. of these animals 9 dogs and 27 cats receive medication. What percentage of animals receive medication?

Answers

3% because If you divide 27/9

4. Lines 1 and 2 are parallel, and lines 3 and 4 are parallel.

Answers

Answer:

x=105

y=75

z=105

Step-by-step explanation:

Answer: x=105 y=75 z=105

Transformations of Functions - Algebra 2

i don’t understand this :(

Answers

Answer:

c

Step-by-step explanation:

i haven't done this in over a year so my explanation wont be good but i know the answer is right

The answer is C
explanation;

Evaluate the function f(x) = 7x - 8 at the given values of the independent variable and simplify.

a. f(7)

b. f(x + 5)

c. f(-x)

Answers

Answer:

Step-by-step explanation:

Given the function :

f(x) = 7x - 8

Evaluate the given values of the independent variable and simplify.

a. f(7)

b. f(x + 5)

c. f(-x)

A.) f(7)

f(7) = 7(7) - 8

= 49 - 8

= 41

B.) f(x + 5)

7(x + 5) - 8

7x + 35 - 8

7x - 27

C.) f(-x)

7(-x) - 8

-7x - 8

The largest perfect square factor of 252 is _____

Answers

Answer:

18

Step-by-step explanation:

252 is a composite number. The exponents in the prime factorization are 2, 2, and 1. Adding one to each and multiplying we get (2 + 1)(2 + 1)(1 + 1) = 3 x 3 x 2 = 18. Therefore 252 has 18 factors.

PLEASEE HELPPP WOULD MARK BRAINLIST!!!

Which compound inequality is represented by the graph?

Answers

Answer:

The second one

Step-by-step explanation:

Study these equations:
f(x) = 2x - 4
g(x) = 3x + 1
What is h(x) = f(x)g(x)?
O h(x) = 6x2 – 10x - 4
O h(x) = 6x2 – 12x - 4
O h(x) = 6x2 + 2x - 4
O h(x) = 6x2 + 14x + 4

Answers

Answer:

A. h(x) = 6x2 – 10x – 4

Step-by-step explanation:

Got 100% on edge.

The value of h(x) is h(x) = 6x^2 -10x + 4

How to determine the composite function?

The functions are given as:

f(x) = 2x - 4

g(x) = 3x + 1

So, we have:

h(x) = f(x)g(x)

This gives

h(x) = (2x - 4) * (3x+ 1)

Evaluate

h(x) = 6x^2 + 2x - 12x - 4

This gives

h(x) = 6x^2 -10x + 4

Hence, the value of h(x) is h(x) = 6x^2 -10x + 4

Read more about composite functions at:

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AREA OF THESE TWO POLYGONS?

Answers

Answer:

Step-by-step explanation:

Is(0,-2) a solution of x+y=6

Answers

Answer:

no

Step-by-step explanation:

x+y=6

Substitute the point into the equation and see if it is true

0 + -2 = 6

-2 =6

This is not true so the point is not a solution

Answer: No

Step-by-step explanation:

To see if (0.-2) is a solution of x+y=6, we can plug it in and solve.

0+(-2)=6            [add]

-2≠6

Since -2 does not equal 6, we know that (0,-2) is not a solution.

What percent of 70 is 49?

Answers

Answer:

70%

Step-by-step explanation:

49/70 = 0.7

0.7*100 = 70%

There are 230 calories in a 48 g packet of M& M's. How many calories are in a 9.6 g bag?

Answers

it should be 46 calories per 9.6 bag

Answer:

The answer is

46 calories

Step-by-step explanation:

In order to solve this question we use ratio and proportion

From the question there are 230 calories in 48g of M & M's

That's

If in 48g of M & M's we have 230 calories

9.6 g will contain

[tex] \frac{9.6 \times 230}{48} \\ = \frac{2208}{48} [/tex]

We have the final answer as

46 calories

Hope this helps you

use picture or words to explain how you could find the sum of 7+7

Answers

Step-by-step explanation:

The sum of is of seven plus seven is 14. 7 orange fish and 7 blue fish equal 14 fishes in total.

d(n) = 6 - 4(n - 1) find the 5th term in the sequence

Answers

d(n) = 6 - 4(n - 1)

Plug 5 into the equation for n.

d(5) = 6 - 4(5 - 1)

Subtract 1 from 5

d(5) = 6 - 4(4)

Multiply 4 by 4

d(5) = 6 - 16

Simplify the right side

d(5) = -10

The fifth term in the sequence is -10

The 5th term of the sequence is -10.

What is a sequence?

A sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

Given is a sequence, d(n) = 6 - 4(n - 1)

To find the 5th term, put n = 5

d(5) = 6-4(5-1)

= 6-4×4

= 6-16

= -10

Hence, the 5th term of the sequence is -10.

For more references on sequence, click;

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Please help me
I need to submit it now!!

Answers

Answer:

Alicia is correct because....

Step-by-step explanation:

12 - 4 = 8 + 3 = 11

Select the possible values

Answers

Answer:

all exept 1

Step-by-step explanation:

blah blah blah

The length of a rectangle is 5 centimeters longer than twice its width. If the perimeter of the rectangle is 88 centimeters, what is the width?

Answers

Answer:

The length of a rectangle is 5 centimetres longer than twice its width. If the perimeter of the rectangle is 88 centimetres, what is the width?

width=x

length=2x+5

perimeter=88=2L+2W

 

so half perimeter=44=L+W

x+2x+5=44

3x=39

x=13 cm width ANSWER

2x+5=31 cm length

The width of the rectangle is Width, W = 13 centimeters.

Let the length of the rectangle be L. Let the width of the rectangle be W.

Given the following data:

Perimeter of rectangle = 88 centimeters

Translating the word problem into an algebraic equation, we have;

[tex]L = 2W + 5[/tex]

To find the width of the rectangle;

Mathematically, the perimeter of a rectangle is given by the formula;

[tex]P = 2(L + W)[/tex]

Substituting the values into the formula, we have;

[tex]88 = 2(2W + 5 + W)\\\\88 = 2(3W + 5)\\\\88 = 6W + 10\\\\6W = 88 - 10\\6W = 78\\\\W = \frac{78}{6}[/tex]

Width, W = 13 centimeters.

Therefore, the width of the rectangle is Width, W = 13 centimeters.

Find more information: brainly.com/question/897975

2 points he Dockland Building in Hamburg, Germany is shaped like a parallelogram. If the length of the building is 86 meters and its height is 55 meters, what is the area, in square meters, of this face of the building?​

Answers

Answer:

e

Step-by-step explanation:

Simplify −0.6(−6.3). −3.78 −3.63 3.63 3.78

Answers

Answer:

3.78

Step-by-step explanation:

a negative multiplied by a negative is a positive. 0.6 multiplied by 6.3 equals 3.78

Answer:

3.78

Step-by-step explanation:

A large rectangular movie screen in an IMAX theater has an area of 7,544 square feet. Find the dimensions of the screen if it is 10 feet longer than it is wide length= width=

Answers

Answer:

61.37

Step-by-step explanation:

this is i believe the correct answer but i could still be wrong cause x times x is x square but i am not so sure how much that really matters

take x as the width

x plus 10 as the length

2x plus 10 equals 7544 squared

so square root 7544 minus 10 divided by 2

note that it must be done all at once u cant do it seperately

x is 61.37 dont forget to add 10

In one day at a store, 7% of the sales were
from shoes. Write 7% as a decimal.

Answers

Answer:

0.07

Step-by-step explanation:

Anwser: Your anwser is 0.07

1. Function s is y = 5x - 4
(a) What is the inverse of function s? Show steps to finding it.
(b) Graph the function & its inverse on the same grid. Show at least 3 points on each line.
(c) Is the inverse of function s a function? Explain your answer.

Answers

Answer:

duhuhduiwehiufhewufuewgewfguiwgf

Step-by-step explanation:

2.1 If an event has a probability that is greater than 0.4, what does it mean?

2.2 What is meant when two events are said to be mutually exclusive?


Answers

Answer:

Step-by-step explanation:

1) i think for the first question any probability greater than 0.4 has more likelihood that it will happen

2) mutually exclusive events are ones that cannot occur at the same time as it's impossible e.g. a single coin toss cannot result in you getting heads and tails

10y
6
2-
10
-2
ZO
-4
-6
-8
-10
Write the equation of the line shown in function form:
Equation: f(x) =

Answers

33 will be the answer

33/(20-9)
33 divided by (20-9) I need help

Answers

Answer: 3

Steps:

33/(20-9)

33/11

3

Answer: 3

Step-by-step explanation:

To solve, we need to use algebraic properties.

[tex]\frac{33}{(20-9)}[/tex]               [parenthesis]

[tex]\frac{33}{11}[/tex]                     [divide]

3

30 divided by 1.25 with work

Answers

Answer:

24

Step-by-step explanation:

If you need an explaination you should immediatly remove yourself from the Gene pool, this is a 3rd grade question.

The result is: 30 divided by 1.25 equals 24.

To divide 30 by 1.25, follow these steps in words:

The division 30 ÷ 1.25 can be written as the fraction 30/1.25.

Remove the decimal by multiplying both the numerator and denominator by a power of 10 to convert the decimal into a whole number.

Since 1.25 has two decimal places, multiply both the numerator and denominator by 100 to remove the decimal:

30/1.25 = (30 * 100) / (1.25 * 100) = 3000 / 125

Find the greatest common divisor (GCD) of the numerator and denominator and divide both by the GCD to simplify the fraction:

GCD of 3000 and 125 is 25.

3000 ÷ 25 = 120

125 ÷ 25 = 5

So, 3000/125 simplifies to 120/5.

Divide the numerator by the denominator to get the final result.

Now, simply divide the numerator (120) by the denominator (5):

120 ÷ 5 = 24

The result is 24.

So, 30 divided by 1.25 equals 24.

To learn more on division click:

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(B^2)(B^4)
Answer choices
B^8
B^6
B^2
2b^6

Answers

Answer:

Step-by-step explanation:

(B^2)(B^4) = B^(2+4)= B^6

answer is B

Find the difference. (3 • 1,000) – (2 • 100) 100 1,000 1,900 2,800

Answers

Answer:

[tex]2,800[/tex]

Step-by-step explanation:

[tex]\left(3\cdot \:1,000\right)-\left(2\cdot \:100\right)[/tex]

[tex]3,000-\left(2\cdot \:100\right)[/tex]

[tex]3,000-200[/tex]

[tex]2,800[/tex]

A unit rate is a rate in which one of the quantities is 1. The unit rate is the same as the constant of proportionality. In our ice cream example, 1 scoop of ice cream costs $2. The unit rate, or unit price, of dollars per scoop is 2. Terrell sells clay pots. He sells 2 clay pots for $6, 3 clay pots for $9, and 4 clay pots for $12. What is the unit rate of dollars per clay pot? A 1 B 2 C 3 D 4

Answers

Answer:

The annswer is 3 for the clay pots

Step-by-step explanation:

The cookie store had 187 cookie jars with 12 cookies in each cookie jar. How many cookies did the cookie store hav in all

Answers

15.5 I got this answer because I used a calculator.... I need help myself
2,224 total. just multiply 187 by 12
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