Solve the quadratic equation by completing the square.
x2 + 8x + 19 = 0
What’s the answer ? Math algebra 2

Answers

Answer 1

Answer: x= 4 ± [tex]\sqrt{-3}[/tex]

Step-by-step explanation:

[tex]x^{2}[/tex] + 8x + 19 = 0     First subtract 19 from both sides

             -19    -19

[tex]x^{2}[/tex] + 8x           =  -19    Now to complete the square on the left side you will divide 8 by 2 and square the number that you will get and add it to both sides. If you divide 8 by 2 you get 4 and  4 squared is 16 .So add 16 to both sides.

x^2 + 8x + 16 = -19 + 16  Now factor the left side

(x+4)^2 = -3    Take the square root of both sides

(x+4) = ±[tex]\sqrt{-3}[/tex]        

Subtract 4 from both sides

x = ±[tex]\sqrt{-3} - 4[/tex]


Related Questions

Add and write the result in the form a+bi. a. (4 + 2i) + (-6 - 7i)

Answers

Answer:

- 2 - 5i

Step-by-step explanation:

Given

(4 + 2i) + (- 6 - 7i) ← remove the parenthesis

= 4 + 2i - 6 - 7i ← collect like terms

= - 2 - 5i

Solve: 2/x + 3/2x - 1/2 = 2/3

Answers

Answer:

Step-by-step explanation:

[tex]\frac{2}{x}+\frac{3}{2x}-\frac{1}{2}=\frac{2}{3}\\multiply ~by~6x\\12+9-3x=4x\\21=4x+3x\\7x=21\\x=21/7=3[/tex]

find the values of x and y.

Answers

Step-by-step explanation:

Hey there!!!

When you closely see in figure, we find that,

90° and (2y + 5)° are supplementary,

So, 90° + 2y +5°=180° { supplementary angle is always 180°}.

or, 2y = 180°-95°

[tex]y = \frac{85}{2} [/tex]

Therefore the measure of angle y is 42.5°.

Again, (5x-17)° + (3x - 11)° = 180° (They are linear pair).

8x - 28° = 180°

8x = 180°+28°

[tex]x = \frac{280}{8} [/tex]

Therefore the measure of angle x is 26°.

Hope it helps...

Can you help me with this one ?

Answers

Answer:

y = 2x-3

Step-by-step explanation:

We can use those 2 points given to solve for the slope (m) and for the y-intercept (b) in the equation y = mx+b

Slope:

(3,3) and (4,5)

m = [tex]\frac{y2-y1}{x2-x1}[/tex]

m = [tex]\frac{5-3}{4-3}[/tex]

m = 2

Y-intercept:

y = 2x+b

3 = 2(3) +b

3 = 6+b

b = -3

equation: y = 2x-3

Answer: m=2; b=-3


Explanation:

y = mx + b
(3,3) (4,5)
m = (y2-y1)/(x2-x1) = 5-3/4-3 = 2/1 = 2
replace m=2 into the equation:
y = 2x+b
Now replace (3,3) into the equation:
3 = 2(3) + b
Next you find b:
3 = 6 + b
3 - 6 = b
b = -3
Equation: y = 2x + (-3) or y = 2x -3

Tell whether (-3, 3) is a solution of the system.​

Answers

Answer:

the answer to that would be 0.

Step-by-step explanation:

If the smallest angle of rotation for a regular polygon is 18°, how many sides does polygon have?
O 10
O 12
020
O 24

Answers

Answer:

10 sure️️️️️️️️ show to your teacher which class do you raed?

Answer:

C.  20

Step-by-step explanation:

given:

exterior angle = 18°

to find the number of sides of a polygon:

the formula would be:

360 =  exterior angle

 n

360 =  18

 n

n = 360/18

n = 20

therefore, the number of sides of a polygon is 20

are all composite numbers even

Answers

Answer:

No.

Step-by-step explanation:

A composite number has factors in addition to one and itself. The numbers 0 and 1 are neither prime nor composite. All even numbers are divisible by two and so all even numbers greater than two are composite numbers. All numbers that end in five are divisible by five. Therefore all numbers that end with five and are greater than five are composite numbers.

find the midpoint of a line segment with the given endpoints.(8,-3) (-8,1)

Answers

Answer:

(0,-1)

Step-by-step explanation:

What is 867.8916 to the 1/3 power

Answers

Answer:

-867.8916

Step-by-step explanation:

1 ^3= -1×867.8916

- 867.8916

Help me please thank

Answers

The answer is C because there are 7 quarter dollar coins in total and he’s drawing 1 from each bag. Hope this helps

PLEASE HELP MEEEE I WANT TO CRY BECAUSE IM SO CONFUSED :( ILL GIVE YOU A BRAINLIEST ANSWER! (PLEASE DONT JUST TYPE A RANDOM ANSWER)

Answers

The parent equation would be y=x^2 because that is the parent equation of a quadratic function. ;)

a store is having a sale to celebrate Labor Day every item in the store is advertised as one-fourth off the original price if am item is marked with a sale price of $126 what would be the original price

Answers

Answer:

$168

Step-by-step explanation:

1. x - 1/4x = 126

2. multiply each side by 4

3. 4x - x = 504

4. 3x = 504

5. divide each side by 3

6. x = 168

add the following a2b - ab2 + 8ab and 2a2b - ab2​

Answers

Answer:

3a^2b - 2ab^2 + 8ab

Step-by-step explanation:

just add the like terms

a^b + 2a^2b - ab^2 -ab^2 + 8ab

3a^2b - 2ab^2 + 8ab

The ​addition of the expressions a²b - ab² + 8ab and 2a²b - ab² will be 3a²b - 2ab² + 8ab.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expressions are given below.

a²b - ab² + 8ab and 2a²b - ab²

The ​addition of the expressions a²b - ab² + 8ab and 2a²b - ab² will be given as,

⇒ a²b - ab² + 8ab + 2a²b - ab²

⇒ 3a²b - 2ab² + 8ab

The ​addition of the expressions a²b - ab² + 8ab and 2a²b - ab² will be 3a²b - 2ab² + 8ab.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Solve the system of linear equation. 2x-5= 14
3x+2y = 40

Answers

Answer:

x=9.5, y=5.75

Step-by-step explanation:

2x-5=14, 3x+2y=40

focus on 2x-5=14 first:

2x-5=14 (add 5 to both sides) 2x=19(divide both sides by 2) x=9.5

Now subtitute x into the second equation and find y:

3(9.5)+2y=40(simplify) 28.5+2y=40(subtract 28.5 on both sides) 2y=11.5(divide both sides by 2) y=5.75

X=9.5, Y=5.75. Step by Step Explanation is-
First take 2x-5=14
= 2x=14+5 ; 2x=19 ; x=19/2=9.5
Now take 3x+2y=40; We substitute the value of x with 9.5. So the equation is-
=3*9.5+2y=40 ; 2y+28.5=40 ; 2y=40-28.5=11.5 ; y=11.5/2=5.75.
Thank you and hope it helped

I don’t know know to do this... Someone please help
I’ve done this with single numbers before, but not with the equations. I’m not sure how to navigate through the problem with all of the equations and numbers....

Answers

Answer:D

Step-by-step explanation:

What IS the solution to 1−(13q−5)=−6

Answers

Answer:

q = 12/13

Step-by-step explanation:

Step 1: Write equation

1 - (13q - 5) = -6

Step 2: Solve for q

Distribute -1: 1 - 13q + 5 = -6

Combine like terms: 6 - 13q = -6

Subtract 6 on both sides: -13q = -12

Divide both sides by -13: q = 12/13

What is .33 converted to a fraction in simplest form

Answers

33/100 . It’s already in simplest form

Answer: 33/100

Step-by-step explanation:

.33 is in the hundreths place, so the denominater would be 100. So, it would 33/100. You can't simplify it.

∠A and \angle B∠B are complementary angles. If m\angle A=(x-21)^{\circ}∠A=(x−21) ∘ and m\angle B=(2x-15)^{\circ}∠B=(2x−15) ∘ , then find the measure of \angle A∠A.

Answers

Answer:

A = 21 degrees

Step-by-step explanation:

Here in this question, we are told to calculate the value of angle A.

When two angles are tagged complementary, what this means is that the addition of both angles gives a total of 90 degrees.

Hence;

A + B = 90

This means that;

(x-21) + (2x -15) = 90

x + 2x -21-15 = 90

3x -36 = 90

3x = 90+ 36

3x = 126

x = 126/3

x = 42

But we are told to calculate the measure of A

A = x -21

A = 42-21

A = 21 degrees

Answer:

21

Step-by-step explanation:

please help ASAP i don’t understand this !!

Answers

Answer:

f(-7) = -3

Step-by-step explanation:

f(x) = ( x-2)/3

Let x = -7

f(x) = ( -7-2)/3

    = (-9)/3

    = -3

answer for question is -3

What is (2a^3 b^4 c^3)^2 • (4a^2 bc^3)

Answers

Answer:16 a 8 9 c 9

Step-by-step explanation:

Choose te correct symbol

Answers

Answer:

<

Step-by-step explanation:

I need help ASAP please

Answers

Answer: x =168

 

Step-by-step explanation:I think it would be 80 plus 88 so its 168.  

You want to start a business selling lanyards to hang your mask from. You have $25 in your banking account to purchase the materials you would need to make them. After doing some research for the best deals it is going to cost you $45 to make 10 lanyards (the minimum you can make).

Answers

Answer:

If the minimum is 10 and it costs $45 for that you would be going into the negatives as $25 is less then $45 meaning : You do not have enough money to purchase something that is $45. You would need $20 more dollars. If there was no minimum you would only be able to buy 4 with a few dollars left over.

What graph is a function of x

Answers

Show me the picture for I can help u

What is 6/11 as a decimal

Answers

Answer:

0.54

Step-by-step explanation:

6 divided by 11 is 0.54-non-terminating therefore we get 0.54

Answer:

0.5455

Step-by-step explanation:

Plz choose mine as brainliest

Which statement about the expression is
true?
- 2/2 - 1/3
The product is less than -1
The product is greater than 1
The product is a positive number
The product is less than both factors.

Answers

Answer:

dccvv

Step-by-step explanation:

cdcfcf

what's pi means for a repeating decimal

Answers

Pi is an irrational number, which means it cannot be represented as a simple fraction, and those numbers cannot be represented as terminating or repeating decimals. Therefore, the digits of pi go on forever in a seemingly random sequence.

solve for 2(5y-1)=28

Answers

answer: x=3

you divide both side by 2

-2.49 = -5 + x
I'm confused lol please help​

Answers

Answer:

See Below

Step-by-step explanation:

Isolate x, so add 5 to each side

-2.49 =  -5 + x

+5.00    +5

3.49 = x

Answer:

x= 251/100

=2.51

How: -2.49=-5+x

              +5 =+5

          2.51=x

-13/20 - 7/5=? Its fractions.

Answers

Answer: 41/20

Step-by-step explanation:

there is a possibility that this is incorrect bb srry

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