solve for completing the square x^2-12x+11=0

Answers

Answer 1

Answer:

x = 6 ± 5

Step-by-step explanation:

x² - 12x + 11 =0

x² - 12x = -11          Now add this number to both sides of the equal sign (1/2 of the coefficient of x-term squared)

x² - 12x +36 = -11 + 36                      1/2(-12)² = 36

(x - 6)(x - 6) = 25

(x - 6)² = 25

[tex]\sqrt{(x-6)}[/tex]² = [tex]\sqrt{25}[/tex]                             square root of both side of the equation

x - 6 =  ± 5                                          (5)² = 25 and (-5)² = 25

x = 6 ± 5


Related Questions

Find the geometric mean between each pair of numbers

Show your work please
Thank you❤️❤️❤️

Answers

Answer:

1.26

Step-by-step explanation:

geometric mean =sqrt((4/5)*2)=sqrt(1.6)=1.26

Which equation describes a relationship such that x = 0 must be excluded from the domain?

Answers

Answer:

Example: f(x) = (1 + x + x^2) / x, x=0 is excluded from the domain, since division by zero is undefined.

Step-by-step explanation:

This is because it only has an x-intercept and does not intersect they-axis. Vertical lines cannot be written in standard form because the slope is undefined. The equation of the line is given by the x-intercept of the line. In this case x=0 goes though the origin (x=0), which means this is the equation of the y-axis

what does N equal because i dont know

Answers

Answer:

N = Natural numbers

A class has 40 students. Number of boys are 6 more than girls. Find number of boys
and girls in the class.

Answers

Basically let's represent the number of girls with x.

There are 6 more boys than girls, so x+6

Let's sum it all up

x+x+6=40

Collect like terms;

2x+6=40

2x=40-6

2x= 34

Divide both sides by 2

x=17

17+6=23

Therefore there are 17 girls in the class and 23 boys.

please mark Brainliest.

HELP!!!! PLEASE URGENT!!! IM BEING TIMED!!! thank you

Answers

The answer for that question is B
The answer to the question is B

Watson and Alva each have the same total number of toy cars and trucks Watson has 4 boxes. Each of his boxes has 7 cars and 2 trucks. Alva
has 2 boxes. Each of his boxes has 11 cars and the same number of trucks
How many trucks are in each of Alva's boxes?

Answers

Answer:

Alva has 7 trucks in each box.

Explanation:

You need to determine the total number of toys Watson has. Watson has 4 (7+2) = 4(9) = 36 toys.

Set 36 equal to an expression for the number of toys Alva has. Using t for the number of trucks, 36 = 2 (11+t).

Then, solve the equation.

36 = 2(11+t) 36 = 22 + 2t 14 = 2t7 = t

So how many trucks are in each of Alva's boxes?

7 Trucks!

The number of trucks that Alva has is 7.

How many trucks does Alva have?

A linear function is a function that is made up of a single variable that is raised to the power of one.

The general form of a linear equation is:

y = mx + b

Where:

y = dependent variable b = constant m = independent variable

The first step is to determine the total number of toy cars and trucks that Watson has.

Total number of toy cars and trucks that Watson has = (4 x 7) + (4 x 2)

= 28 + 8 = 36

Since Watson and Alva have the same number of toy cars and trucks, it means that Alva would also have 36 toy cars and trucks.

The equation that represents the total number of toy cars and trucks that Alva has is:

(2 x 11) + (2 x t) = 36

22 + 2t = 36

36 - 22 = 2t

14 = 2t

t = 14 / 2

t= 7

To learn more about linear functions, please check: https://brainly.com/question/26434260

#SPJ3

hey i need help with how to multiply 8/9 and 1/4. HELP ME OOOUUUUTTTT!!!!!!!!!!!!!!

Answers

Answer:  2/9

Explanation:

Multiply the numbers up top: 8*1 = 8

Multiply the numbers in the bottom: 9*4 = 36

The two fractions 8/9 and 1/4 multiply to 8/36. Reduce this to 2/9 after dividing both parts by the GCF 4.

In other words,

8/4 = 2

36/4 = 9

Hello there! :)

When multiplying fractions, we multiply the numerator times the numerator and the denominator times the denominator. We reduce if it's necessary.

So multiply:

[tex]\frac{8}{9} *\frac{1}{4} \\[/tex]

Reduce and get:

[tex]\frac{2}{9} *\frac{1}{1} \\\frac{2}{9}[/tex]

And that's our final answer. Hope it helps you!

~Just a joyful teen

[tex]SilentNature[/tex]

Jeanette obtained 32% for her statistics test, which was out of a total of 300 marks. How much should she score in the computer science test that is out of 200 marks in total if she is to get a proportionally weighted average of 46%?

Answers

Answer:

134

Step-by-step explanation:

So assuming x is the score on the computer science exam, it would take 300*0.32+x=500*0.46=230 to get x=134

The area of a rectangle is x^2-4/2x in.2, and its length is (x + 2)2/2 in. Find the width.

Answers

Step-by-step explanation:

the area (length × width) is

A = (x² - 4)/2x in² = (x + 2)(x - 2)/2x

length = (x + 2)²/2 = (x + 2)(x + 2)/2

width = A/length = 2(x+2)(x-2) / 2x(x+2)(x+2) =

= (x-2)/x(x+2) = (x-2)/(x²+2x)

Which of the following algebraic expressions will translate “the sum of eight and twice w”?

A: 8 + w
B: 2(8) + w
C: 8 = 2w
D: None of these choices are correct.

Answers

d

8+2x is the correct answer

None of them have a great day

2w + y = 6
a. Find y if w = -4
b. Find y if w = 10

Answers

A. Y would be 14 since 2w would equal -8, and -8+14=6.
B. Y would be -14 because 2w would equal 20 and 20+(-14)=6

Answer:

a. Find y if w = -4 --- y = 14

b. Find y if w = 10 --- y = -14

Step-by-step explanation:

This is all about substitution!! For question a, we need to substitute "w" with "-4" ...

2 (-4) + y = 6

We know that a positive time a negative equals a negative...so 2 · -4 is -8.

-8 + y = 6

Now let's add 8 on both sides to isolate the variable...which equals to

y = 14

Onto question b...We substitute w with 10.

2 (10) + y = 6

 = 20 + y = 6

Subtract 20 from both sides to isolate "y"

y = -14

Hope this helpsss :D

The decimal form of (-104)/5 is ____________​

Answers

Step-by-step explanation:

4.5×10 5 =450000

hope it will help you

WAIT I THIBK IS 450000

Determine if the two triangles are congruent. If they are, state how you know.

PLEASE HELP!!!!!!

Answers

Angle-side-angle is a rule used to prove whether a given set of triangles are congruent. The ASA rule states that: If two angles and the included side of one triangle are equal to two angles and included side of another triangle, then the triangles are congruent

Please answer. Don't spam!​

Answers

Hello Gumiho!

[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]

Find the distance.

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

Refer to the attached picture for the steps.

Answer :- The answer will be (c) [tex]\boxed{\boxed{\tt\sqrt{a^{2} + b^{2}}}}[/tex]

__________________

Hope it'll help you!

ℓu¢αzz ッ

Parallelogram A and B are similar. What is the scale factor from rectangle A to B? 12 2 5 А B 4.8

Answers

Answer:

i dont get it

Step-by-step explanation:

5) Cuando 102 se divide por 2/3 la respuesta es

Answers

Answer:

Cuando 102 se divide por 2/3 la respuesta es 153

Step-by-step explanation:

102 : 2/3 =

102 * 3/2 =

51 * 3 =

153

Seven large hamburgers are shared equally among twelve people at a dinner. Which of the following shows the amount of a hamburger that each person eats?

Answers

cut 6 into half's and spit the last into 7th's

Add, answer as a fraction:

1/15 + 3/12

A) 10/67
B) 12/27
C) 19/60
D) 4/27

Answers

It’s CCCCCC. Do you want me to tell you why or nah

Answer:

Hello, There! I'll be glad to help!

Question

1/15 + 3/12

Answer

[tex]\boxed{Option ~C. ~19/60}[/tex]

Step-by-step explanation:

[tex]\frac{1}{15} +\frac{3}{12} =\frac{1 ~x~4}{15~x~4} +\frac{3~x~5}{12~x~5} =[/tex]

[tex]\frac{4}{60} +\frac{15}{60} = \frac{19}{60}[/tex]

Therefore, Your Answer is (Option C.)

Help help help help

Answers

Answer:

Step-by-step explanation:

A(0,4)

B(6,-4)

C(-2,-8)

just multiply every point by 2

Need some help I’m really trying graduate

Answers

the answer to this is D i think

4. Which values are solutions of
2x – 1= 7? Select all that apply.
A) X=-4
(B) x = -3
C=3
D= 4

Answers

Answer:

D. x = 4

Step-by-step explanation:

2x – 1= 7

add 1 to both sides:

2x=8

divide both sides by 2:

x=4

One solution.

Mikey is reading a 604-page book. He read 148 pages last week. If he reads for x hours at 19 pages per hour, which equation represents how long it will take him to finish the book?


A.
148x + 19 = 604
B.
19x + 604 = 148
C.
19x + 148 = 604
D.
19x - 148 = 604

Answers

C plz put me brainliest

Answer:

C

Step-by-step explanation:

first take off the 148 of the 604 page book then divide the rest by 19 ,

it should be 24 hours - 1-day  .

it is c because it shows my explination because 19x + 148 is equal to 604 first take the 148 and 19 and x means multiplication so 19 times 24 = 456.

8. Solve the system. (1 point)

x+y=5
-2x+4y=8

Answers

Step-by-step explanation:

multiply the first equation by 2 and then add both equations.

2x + 2y = 10

-2x + 4y = 8

---------------------

0 + 6y = 18

y = 3

x + y = 5

x + 3 = 5

x = 2

Determine if the sequence is arithmetic 7,9,11,13,15…
If so, find the common difference

b. What would be a30

Answers

Answer:

65

Step-by-step explanation:

a. since we add 2 to each term in this sequence, the difference between one term and the next is a constant. therefore, it's an arithmetic sequence

b.  in this case, a = 7 and d =2

the equation would be a30 = 7 + (30-1)2

solving this gives us 65

What are the terms in the expression 2d + 7 + 5f?

2 and 5

d and f

2d, 7, and 5f

2, 7, and 5

Answers

Answer: 2d, 7, and 5f

Step-by-step explanation: Each part of the equation that is separated by a + or - is considered a "term."


[tex]1 - \frac{1}{5} \times 2 + 0.5[/tex]
tolong jawab kalau bisa sama penjelasan nya​

Answers

Answer:

here is my solution for that problem. i hope it will work.

[tex] = \frac{11}{10} \\ \\ \\ in \: \: alternate \: form \\ \\ 1 \frac{1}{10 \: \: \: } \: \:,1.1[/tex]

hope it helps


What is the equation in point slope form for a linear function with a slope of m = -4 that passes through the
point (2,- 7)?

Answers

y + 7 = -4(x - 2)

The equation for point slope form is
y - y1 = m(x - x1) where m represents the slope.

It coordinates and slope are given, they just need to be plugged into the equation.

y - (-7) = -4(x - 2)

Subtracting a negative can be written as adding a positive, so the equation can be simplified as:

y + 7 = -4(x - 2)

5.5 minutes = 330 seconds
A. True
B. False

Answers

Answer:

True

Step-by-step explanation:

330 Seconds = 5.5 Minutes = 5 Minutes and 30 Seconds

Answer:

False :-

Step-by-step explanation:

5 mins = 300 secs

what is 3,936.58 rounded to the nearest 1,000

Answers

Answer:

936.58

Step-by-step explanation:

What did you learn in this lesson about the value of leaving the money invested for long periods of time? How can you apply this to retirement?

Answers

Answer:

65435675e

Step-by-step explanation:

12456764 br5654365

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