What number should be added to both sides of the equation to complete the square?
x2 + 12x = 11
36
121
6
144

Answers

Answer 1

Answer:

Step-by-step explanation:

Take half of the coefficient of x (in other words, take half of 12).  This results in 6.  Square this result, obtaining 36.

Now x2 + 12x = 11 becomes x^2 + 12x  +  36   = 11  + 36, or

                                              x^2 + 12x  +  36   = 47, or

                                                  (x + 6)^2 = 47

Answer 2

Answer:

To complete the square, 36 should be added to both sides.

Step-by-step explanation:

If you have an equation in the form:

ax² + bx + c = ...

Then to complete the square, you want to convert it to this format:

a²x² + abx + (b/2)² = ...

with all instances of x being on the left.

In this case, we're given x² + 12x = 11.  Because the first term has no coefficient, completing the square is much simpler. "a" in this case is just 1, which means that "b" is 12 ÷ 1, or just 12. So:

(b / 2)²

= (12 / 2)²

= 6²

= 36

So to actually complete the square, just add 36 to both sides of the equation:

x² + 12x + 36 = 47

(x + 6)² = 47

You can then solve for x quite easily:

(x + 6)² = 47

x + 6 = ±√47

x = -6 ± √47


Related Questions

​ MO and PR are parallel lines. Which angles are alternate interior angles?

Answers

The angles that are alternate interior angles are; ∠ONQ and ∠MNQ

What is an alternate interior angle?

Alternate interior angles are defined as the angles that are formed when a transversal intersects two coplanar lines.

Now, from the image of this ​ MO and PR are parallel lines as seen online, it is clear that the angles ∠ONQ and ∠MNQ are alternate interior angles

Read more about Alternate Interior Angles at; https://brainly.com/question/24839702

Plz helppp I will mark brainless

Answers

Answer:

168

Step-by-step explanation:

34 + 58 + 100 = 192

360 - 192 = 168

Help I don’t understand

Answers

Basically you’re going round to the nearest 10th

Answer:

x≈31.8°

Step-by-step explanation:

[tex]sin(x)=10/19[/tex]

[tex]x=sin^{-1}(10/19)[/tex]

[tex]x=31.75..[/tex]

[tex]x=31.8[/tex]

Please, help me ,,,,,,,,,,,,,,,

Answers

Answer:

The correct answer is 80, 190

I will probably be the last one but I am not sure

helpppp i’ll give brainlest
find the approximate area of the shaded region

Answers

Answer:

240.52 m square is your answer

Answer:

B

Step-by-step explanation:

area of square=20×21=420 m²

diagonal=√(20²+21²)=√(400+441)=√841=29

radius=29/2

area of circle=π×(29/2)²=841/4  π≈660.52 m²

area of shaded region=660.52-420=240.52 m²

I NEED ANSWERS ASAP I GOT A 50

Answers

I dont understand you already answered

Answer: I would love to help you but this looks like a test am I'm sure it's to see where you are in learning all I can say is to try your best and if you don't know the answer looks at notes or whatever you have to help hope you have a good day lad.

Any idea on what the answer might. Be if u can explain would help alot

Answers

Answer:

pythagorean theorem!

Step-by-step explanation:

a²+b²=c² (normal)

a²=c²-b² (to find a)

[tex]a { = \sqrt{c {}^{2} } } - b ^{2} [/tex]

[tex]a = 38 ^{2} - 27 ^{2} [/tex]

[tex]a = \sqrt{1444 - 729} [/tex]

[tex]a = \sqrt{715} [/tex]

[tex]a = 26.7394839142[/tex]

how many square centimeters of the wrapping paper will be used to wrap the The Shoe Box ​

Answers

Answer:

answer is in the picture.

I think of a number, add on 15 and my answer is 8​

Answers

Answer:

The number is -7

Step-by-step explanation:

x + 15 = 8

Answer:

the number is -7

Step-by-step explanation:

do the opposite( sum-number added)

8-15=-7

A boat travels 102 miles in 5
hours (with a constant speed).
How far can it travel in 12 hours
(with the same speed)?

Answers

bvcdrtStep-by-step explanation:

find the area of triangle CDE the length of the square is 24 meters;

Answers

Answer:

288

Step-by-step explanation:

If you didnt know a triangle has the area of a square/2

so basically what im saying is the area of that square/2 equals the area of the triangle

to find the area of the square you take 24 and square it

24^2=576

finally we divide that by 2

576/2=288

so the area of the triangle is 288

have a great day :D

Select all the numerical expressions below that are equivalent to
[tex] \frac{ - 6}{3} [/tex]

Answers

Answer:

A, B, E

Step-by-step explanation:

You can put the negative sign on either the numerator or denominator (but not both) and you can also give the simplified answer -2.

Choose the correct correspondence



C

R
S
T

Answers

Answer:

r

Step-by-step explanation: its r

Answer: T

Step-by-step explanation:    triangle  c <-> T triangle

stuff must be across from each other

Tom hits golf balls at the driving range every 3 days, practices putting every 4days, and goes golfing every 6 days. If he did all three activities today, in how may days will he do all three activities again?

Answers

Answer:

12 days

Step-by-step explanation:

Trust me I did the work.

can someone help me pleasee ??

Answers

I’ll help you but what is the question is it graph or solve for y or write in standard form etc.

REMOVE the outlier from the data, and then do the following: Round answers to the nearest
hundredths. 84, 71, 100, 88, 23, 100, 81, 93, 92, 100, 87,75.

5. Find the mean
6.
Find the median
7.
Find the mode

Answers

Answer:

outliar is23

Step-by-step explanation:

The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times the measure of the first angle. The third angle is 10 more than the second. Let x, y, and z represent the measures of the first, second, and third angles, respectively. Find the measures of the three angles

Answers

Answer:

1st ∡ = 15.5°

2nd ∡ = 77.25°

3rd ∡ = 87.25°

Step-by-step explanation:

1st ∡:  x

2nd ∡:  y

3rd ∡:  z

Equations we can create from data given in problem:

y + z = 5x

z = 5x + 10

We have enough expressions to create an equation:

x + 5x + 5x + 10 = 180

11x = 170

x = 15.5

y = 5(15.5) = 77.25

z = y + 10 = 87.25

Answer:

30 70 80 Trust

Step-by-step explanation:

A robot packs boxes in a factory. It runs at a constant speed, and packs 5 boxes in 9 minutes. If the robot operated for 135 minutes on Monday, how many boxes did it pack?

Answers

i think the answer is 75.
The answer is 75.


explanation:
have a nice day!!!

A company want to find out if there is a linear relationship between indirect labor expense (ILE), in dollars, and direct labor hours (DLH). Data for direct labor hours and indirect labor expense for 25 months are given. Based on your results, If direct labor hours (DLH) increases by one hour, the indirect labor expense (ILE), on average, increases by approximately how much?


DLH(X) ILE(Y)
20 361
25 355
22 376
23 384
20 374
19 311
24 427.2
28 387.5
26 450.8
29 475.2
27 462.6
22 333.3
26 389.9
25 445

Answers

Answer:

11.88571

Step-by-step explanation:

Given the data :

DLH(X) :

20

25

22

23

20

19

24

28

26

29

27

22

26

25

Y:

361

355

376

384

374

311

427.2

387.5

450.8

475.2

462.6

333.3

389.9

445

Using a linear regression calculator, the linear equation obtained is : ŷ = 11.88571X + 109.92143

Where, 11.88571 represents the Coefficient of X, which is the slope, the change in direct labor hours per hour change in Indirect labor expense.

In AIJK, the measure of _K=90, the measure of _I=46°, and IJ = 9.2 feet. Find the
length of JK to the nearest tenth of a foot.
J
9.2
X
N
96
K

Answers

Answer:

6.6

Step-by-step explanation:

help pls thank you
....

Answers

Answer:

m+n=2n+8

m=n+8

n=m-8

2k=m+n

Step-by-step explanation:

Write two numbers that multiply to the value on top and add to the value on bottom

Answers

Answer:

9 and 3

Step-by-step explanation:

if we multiply 9 and 3 we get 27

also when we add 9+3= 12

Is the sequence 7, 9, 12, 16 geometric

Answers

Answer:

The sequence is not geometric or arithmetic because there is no common difference or common ratio between each term.

please help if you don't mind!

Answers

70 divided by 5 = 14
So there are 14 people who each hold 5 cards.

ILL GIVE BRAINLIEST IF ITS RIGHT

Answers

Answer:

7) C) 7

8) D) y=-2x+3

Step-by-step explanation:

7) 3x-1/9(27)=18

3x-3=18

3x=21

x=7

8) y=-2x+3

For number 8. Number 1 I believe because it’s a positive slope but y is greater!

Solve by elimination:
3x + 4y = 0
5x-3y = -58
A (6, -8)
B (-6, -8)
C (-8, 6)
D ( 8, 6)

Answers

Answer:

x=−8

y=6=

Step-by-step explanation:

3x+4y=0

5x−3y=−58

In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.

3x+4y=0,5x−3y=−58

To make 3x and 5x equal, multiply all terms on each side of the first equation by 5 and all terms on each side of the second by 3.

5×3x+5×4y=0,3×5x+3(−3)y=3(−58)

Simplify.

15x+20y=0,15x−9y=−174

Subtract 15x−9y=−174 from 15x+20y=0 by subtracting like terms on each side of the equal sign.

15x−15x+20y+9y=174

Add 15x to −15x. Terms 15x and −15x cancel out, leaving an equation with only one variable that can be solved.

20y+9y=174

Add 20y to 9y.

29y=174

Divide both sides by 29.

y=6

Substitute 6 for y in 5x−3y=−58. Because the resulting equation contains only one variable, you can solve for x directly.

5x−3×6=−58

Multiply −3 times 6.

5x−18=−58

Add 18 to both sides of the equation.

5x=−40

Divide both sides by 5.

x=−8

The system is now solved.

x=−8,y=6

Coordinates are: (-8,6)

Graph:

classify each triangle

Answers

Answer:

See below

Step-by-step explanation:

9. Isosceles triangle

10. Right triangle

11. Equilateral triangle

12. Scalene triangle

13. Obtuse angle triangle

Find the indicated root.

Plz help

Answers

Answer:

[tex]x^{15/3} =x^{5}[/tex]

Step-by-step explanation:

Answer:

=x⁵

Step-by-step explanation:

It is a rule of indices that [tex]{x^{\frac{a}{b} } }=\sqrt[b]{x^{a} }[/tex]

Therefore:

[tex]\sqrt[3]{x^{15} }[/tex]

= [tex]x^{\frac{15}{3} }[/tex]

=x⁵

Colton finished his math homework at 8:27. He spent 32 minutes working
on it. What time did Colton start his homework?

Answers

7.55 take 8:27 and ignore the : and take away 32

Ben saves 12% of his allowance what is the percent of his allowance does he not save write the number as a percent fraction and decimal​

Answers

Answer:

.88, 88/100, 88%

Step-by-step explanation:

If you take 12% out of 100% you get 88%, 88/100, or .88. This is the amount he has not spent. You could write the fraction as 44/50.

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