If using the method of completing the square to solve the quadratic equation
x² + 2x + 16 = 0, which number would have to be added to "complete the
square"?

Answers

Answer 1

Answer:

x=-1+\sqrt{15}i,\:x=-1-\sqrt{15}i

Step-by-step explanation:

Answer 2

For the given quadratic equation,x² + 2x + 16 = 0 the value of x will be x=-1+√15i, and x-=-1-√15i you must add 1 in order to complete the square.

What is a quadratic equation?

Any equation with the formula [tex]\rm ax2 + bx + c = 0[/tex] where x is a variable and a, b, and c are any real values; a quadratic equation is one where a ≠ 0.

It is given that the equation is, x² + 2x + 16 = 0,

The value of x obtained after solving the given equation is x=-1+√15i and x-=-1-√15i.

In order to complete the square you have to take out the following operations,

x² + 2x + 16 = 0

Add and subtract by 1 as

x²+2x+16+1-1

x²+2x+1 +15

(x+1)²+(√15)²

Thus, you must add 1 in order to complete the square.

Learn more about quadratic equations here:

brainly.com/question/17177510

#SPJ2


Related Questions

Will mark brainliest

Answers

Answer: A) multiply the input by 6.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

12÷2=6

36÷6=6

48÷8=6

54÷9=6

72÷12=6

so that means you have to multiply the input by 6.

Which is a multiple of 10?
30 25 15 0​

Answers

Answer:

30 is the multiple of 10.

Answer:

30

Step-by-step explanation:

Multiples of 10 would include:

10

20

30

40

50

and so on...

Solve the following system using substitution:
x - 4y = -1
-3x +8y = -2

Answers

Answer: ( 4, 5/4)

Step-by-step explanation: x = 4, y = 5/4

Someone answer this please

Answers

Answer:

The answer is -72/5.... also as 14.4

Answer:

Step-by-step explanation: first put in the value for x, 8(-6) -5y=24

Then solve from there, 8x-6= -48

-48-5y=24

-5y=24+48 ( becomes pos when transferred to this side, since it turns to the opposite direction )

Now, -5y=72

Decide both sides by -5 and then

Y = -14.4 or -14 2/5

Hey can you help me fast!!

Answers

the answer is 30 it’s simple if you divide it into boxes :)

Evaluate the six trigonometric functions of the angle 0



is right

Answers

Answer:

1. Sine θ = 1/3

2. Cos θ = 2√2 / 3

3. Tan θ = √2 / 4

4. Cosec θ = 3

5. Sec θ = 3√2 / 4

6. Cot θ = 2√2

Step-by-step explanation:

We'll begin by determining the adjacent. This can be obtained as follow:

Hypothenus (Hypo) = 9

Opposite (Opp) = 3

Adjacent (Adj) =?

Hypo² = Adj² + Opp²

9² = Adj² + 3²

81 = Adj² + 9

81 – 9 = Adj²

72 = Adj²

Take the square root of both side

Adj = √72

Adj = 6√2

Finally, we shall determine six trigonometric functions of the angle θ. This Can be obtained as follow:

1. Determination of Sine θ

Hypothenus = 9

Opposite = 3

Sine θ =?

Sine θ = Opposite / Hypothenus

Sine θ = 3/9

Sine θ = 1/3

2. Determination of Cos θ

Adjacent = 6√2

Hypothenus = 9

Cos θ =?

Cos θ = Adjacent / Hypothenus

Cos θ = 6√2 / 9

Cos θ = 2√2 / 3

3. Determination of Tan θ

Opposite = 3

Adjacent = 6√2

Tan θ =?

Tan θ = Opposite / Adjacent

Tan θ = 3 / 6√2

Tan θ = 1 / 2√2

Rationalise

(1 / 2√2) × (2√2 /2√2)

= 2√2 / 4×2

Tan θ = √2 / 4

4. Determination of Cosec θ

Sine θ = 1/3

Cosec θ =?

Cosec θ = 1 / Sine θ

Cosec θ = 1 ÷ 1/3

Cosec θ = 1 × 3/1

Cosec θ = 3

5. Determination of sec θ

Cos θ = 2√2 / 3

Sec θ =?

Sec θ = 1 / Cos θ

Sec θ = 1 ÷ 2√2 / 3

Sec θ = 1 × 3 / 2√2

Sec θ = 3 / 2√2

Rationalise

= (3 / 2√2) × (2√2 / 2√2)

= 3 × 2√2 / 4×2

Sec θ = 3√2 / 4

6. Determination of Cot θ

Tan θ = √2 / 4

Cot θ =?

Cot θ = 1 / Tan θ

Cot θ = 1 ÷ √2 / 4

Cot θ = 1 × 4 / √2

Cot θ = 4 / √2

Rationalise

= (4 / √2) × (√2 / √2)

= 4√2 / 2

Cot θ = 2√2

I can really use this help please

Answers

Answer:

1. 60 2. 120

Step-by-step explanation:

plz give brailiest

Answer:

1. 60

2. 120

Step-by-step explanation:

the opposite angle is 60

180 - 60 = 120

Please help, I will give brainliest to whoever helps!

Answers

Answer:

I'm sorry i cant see the photo its very wierd

Step-by-step explanation:

Please help me with this question it contains angles and measurements

Answers

Answer:

m∠ONP = 43*

m∠LNO = 137*

m∠MNP = 137*

Step-by-step explanation:

Each line segment is a straight line meaning they are each worth 180°, so if you take 43° from 180° you're eft with 137° which is what ∠LNO and ∠MNP are equal to. ∠ONP is 43° since it is a vertical angle to ∠MNL which is also 43°.

See photo hope it helps

Divide. (x^3 – 2x – 3) ÷ (x + 3)

Answers

x

2

3

x

+

7

24

x

+

3

Step-by-step explanation: brainly plz

Answer:

[tex] = \frac{({x}^{3} - 2x - 3)}{(x + 3)} \\ rationalise \: the \: denominator \\ = \frac{({x}^{3} - 2x - 3)(x - 3)}{(x + 3)(x - 3)} \\ = \frac{( {x}^{4 } - 3 {x}^{3} - {2x}^{2} + 6x - 3x + 9) }{( {x}^{2} - {3}^{2}) } \\ = \frac{( {x}^{4} - {3x}^{3} - {2x}^{2} + 3x + 9)}{( {x}^{2} - 9) } [/tex]

5. 3(x - 1) = 23 – 5(x + 2)​

Answers

Answer:

x = 2

Step-by-step explanation:

3(x - 1) = 23 - 5(x + 2) ← distribute parenthesis on both sides

3x - 3 = 23 - 5x - 10

3x - 3 = 13 - 5x ( add 5x to both sides )

8x - 3 = 13 ( add 3 to both sides )

8x = 16 ( divide both sides by 8 )

x = 2

Answer:

x=2

Step-by-step explanation:

Those who have taken the Algebra EOC please answer.

Was it easy? What were the hardest parts? What should i study more to pass it?

Answers

Step-by-step explanation:

To me yes.

Algebra is mostly memorization. If you know the formulas and know how to apply it, you should do good.

I say use this. Algebra topics are like building on top each other.

Heart of Algebra:

Review what the purpose of x in algebra.Then learn things like combining like terms, and solving for x.Since you know the basics of x, you can then review linear equations( imo, a big content of algebra). Stuff like slope, different linear forms, graphs of linear equations, and mostly linear equation word problemsThen you can review system of equations. since you know how to manipulate linear equations, etc.

Then move on to other algebra topics dealing with algebra like

functions, and different types of themexponents, and radicals rulesinequalities.sequences.These aren't the heart of algebra but study them they are useful and it important to know them.

Since you learned different function rules, we can move on to learning exponetial functions, graphs, and word problems.

Then finally, learn most hard thing in Algebra: Quadratics.

Pratice,practice, and practice and you will pass.

Try to memorize the formulas and know when to apply it.

Good Luck

The swimming pool shown is a right prism with concave hexagonal bases.... pls help

Answers

3 bottom sections:

10 x 20 = 200

5x 20 = 100

10 x 20 = 200

Bottom area = 200 + 200 + 100 = 500 square feet.

Short side: 3 x 20 = 60

Deep end wall : 6 x 20 = 120

Side wall : (24 x6) - (10x3) - (1/2 x 4x3) = 144-30-6 = 108

2 side walls: 108 x 2 = 216

Total area : 500 + 216 + 60 + 120 = 896 square feet

Divide total area by area of 1 gallon:

896/400 = 2.24 gallons

It will take 2.24 gallons of paint

I need help on this math problem

Answers

Answer:

x+66+55=180(being sum of the angle of triangle=180degree

x=180-121

therefore, x=59

plz give me thanks

Answer:

All triangles have angles that add up 180 degrees.

So Angle x = 180 - 55 -66

which equals 59 degrees.

Step-by-step explanation:

PLEASE HELP (12 YEAR OLD MATH)​

Answers

Answer:

1.5 I think?

Step-by-step explanation:

it was counting by 6 but then skipped to 26 so I assume it is 1.5

Which of the following is not a function ?
A B C D

PLEASE HELP FAST

Answers

Answer:

C

Step-by-step explanation:

The following that isn’t a function is C because it doesn’t cross the x-int or y-int

What is the area of the polygon? Show your work! ​

Answers

Answer:

6+6=12 cm

4+4=8 cm

6+6= 12 cm

Add all together and it equals 32

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

I LOVE DOING THESE

4x6=24

24x0.5=12

12x4=48

4x4=16

48+16=64

help please ill give brainliest answer

Answers

Answer:

ΔLMN ≅ ΔLQP by (SAA)

Step-by-step explanation:

It is given that line (NM) is congruent to the line (PQ), meaning they have the same measure. This is signified by the small red line on each of these sides.

Moreover, it is also given that angle (MNL) is congruent to angle (QPL), this is shown by the red arc around these angles.

Finally one can figure out that angle (NLM) is congruent to angle (PLQ) by the vertical angles theorem. The verticle angles theorem states that when two lines intersect, the opposite angles are congruent.

Thus the two triangles are congruent by side-angle-angle postulate, abbreviated as (SAA).

solve for x
[tex]\frac{7}{x+4}[/tex] = 4

Give your answer as an improper fraction in its simplest form.

Answers

Answer:

-9/4 = x

Step-by-step explanation:

4 is the same as 4/1

this problem is a proportion which can be solved by cross-multiplying:

7 = 4(x+4)

7 = 4x + 16

-9 = 4x

-9/4 = x

PLZZ HELP Me ASAP!!!!

Answers

Answer:

see explanation

Step-by-step explanation:

(a)

The area is calculated as length × breadth

area = 2x(2x + 6) ← distribute

       = 4x² + 12x

(b)

area = x(x + 4) ← distribute

       = x² + 4x

(c)

shaded area = 4x² + 12x - (x² + 4x)

                      = 4x² + 12x - x² - 4x ← collect like terms

                      = 3x² + 8x

Each of 8 students reported the number of movies they saw in the past year. This is what they reported:
19, 17,8, 18,7, 15, 4, 17
Find the median and mean number of movies that the students saw.
If necessary, round your answers to the nearest tenth.
Х
Median: movies
Mean: movies
5
?
need asap

Answers

The mean is: 19 + 17 + 8 + 18 + 7 + 15 + 4 + 17 = 105 divided by 8 = 13.125 rounded to nearest tenth = 13.1
The median is: 4,7,8,15,17,17,18,19 (in the middle) = 16
Hope this helps :D

Line a is parallel to line b if the measure of <7 is 114, what is the measure of <4

Answers

Answer: 66

Step-by-step explanation:

just do this, 180-114= 66 it's not even that hard.

hope this helps.

Christina is making a necklace using beads. She has 20 red, 14 blue, 10 purple, 28 green, and 8 yellow beads. She randomly chooses a bead to start the necklace. What is the probability of Christina choosing a pink bead?

Answers

Answer:

0.

Step-by-step explanation:

There is a total of 20 red + 14 blue + 10 purple + 28 green + 8 yellow beads which equal 80 total beads. However, she does not have any pink beads, so the probability of picking one is 0 pink beads / 80 total beads = 0.

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
In a circle with a 12-inch radius, find the length of a segment joining the midpoint of a 20-inch chord and the center of the circle.

x =

Answers

Answer:

X=295.6

Step-by-step explanation:

I took the test

Answer:

295.6

Step-by-step explanation:

to make a sports drink for a football team, jaylen filled 9/10 of a large cooler with water. then he filled the remaning space with 6 cups of sports drink concentrate.
How many gallons of sports drink did Jaylen make?

Answers

Hello!

Assuming that we are using U.S. terms, there are sixteen cups in a gallon.

We can assume that there are six cups per tenth of the cooler. Our first job is to multiply 6 times 10 to get the amount of cups of sports drink.

6 · 10 = 60.

Now we need to find out how many gallons of sports drinks there are. To find how many cups go into a gallon, we divided 60 by 16.

60 ÷ 16 = 3.75

So, for our final answer,

Jaylen made 3.75 gallons of sports drink. (3 [tex]\frac{3}{4}[/tex])

waffletowne

The tax rate at this restaurant is 9.5%.




Marc’s sales tax is $1.61. How much was his subtotal?

Answers

Answer:

I don't know, I'm just doing this to get points. lol

Step-by-step explanation:

haha

Someone answer this please

Answers

Answer:

-23/6=y

Step-by-step explanation:

3x-6y=11

3*-4-6y=11

-12-6y=11

y=-23/6

Simplify: 2-7c+12+4c-6

Answers

Answer:

-3c + 8

Step-by-step explanation:

2 - 7c + 12 + 4c - 6

Arrange by like terms.

-7c + 4c + 12 + 2 - 6

Combine terms.

-3c + 12 + 2 - 6

Simplify.

-3c + 8

Answer:

[tex]8 - 3c[/tex]

Step-by-step explanation:

1) Collect like terms.

[tex](2 + 12 - 6) + ( - 7c + 4c)[/tex]

2) Simplify.

[tex]8 - 3c[/tex]

hence, the answer is 8 - 3c.

**NOTE YOU WOULD GET 34 POINTS IF YOU ANSWER THIS**

Answers

Answer:

The answer is 25

Step-by-step explanation:

Answer: 25 Is the correct answer.

an athlete did one round around a circle of radius 42m.what is the total distance covered by him

Answers

Answer:

2 * pi * 42 meters

Step-by-step explanation:

One round means a parameter of the circle

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