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Inessa [10]
3 years ago
14

What number must you add to complete the square? x^2 + 12x = 16

Mathematics
2 answers:
dmitriy555 [2]3 years ago
7 0

Answer: B. 36

The complete square is (x+6)^2. It's missing the third term, which is 36 because 6 x 6 is 36.

Evgen [1.6K]3 years ago
5 0

ANSWER

B. 36

EXPLANATION

The given quadratic expression is:

{x}^{2}  + 12x = 16

To complete the square we add the square of half the coefficient of x.

The coefficient of x is 12.

Half of it is 6.

The square of 6 is 36.

Therefore we add 36 to both sides of the equation to complete the square.

The correct answer is B.

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If you add 12 to my number and then multiply the result by 3, you will get 64 more than two-thirds of my number. Find my number.
anastassius [24]

Answer:

The number is 12

Step-by-step explanation:

[] First, let's turn all these words into something mathematical. N will equal "my number"

-><u> If you add 12 to my number</u> and then multiply the result by 3, you will get 64 more than two-thirds of my number.

-> n + 12 <u>and then multiply the result by 3</u>, you will get 64 more than two-thirds of my number.

-> 3(n + 12), you will get 64 more than <u>two-thirds of my number</u>.

-> 3(n + 12) = <u>64 more than</u> \frac{2n}{3}

-> 3(n + 12) = 64 +  \frac{2n}{3}

[] Phew, okay. Now it is something we can solve and less scary;

[Given]

3(n + 12) = 64 +  \frac{2n}{3}

[Distribute]

3n + 36 = 64 +  \frac{2n}{3}

[Multiply both sides by 3]

9n + 108 = 192 + 2n

[Subtract 108 and 2n from both sides]

7n = 84

[Divide both sides by 4]

n = 12

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

8 0
3 years ago
Whats The Answer Marking Brainliest, Please explain your answer:D.......
Ymorist [56]

Answer:

D

Step-by-step explanation:

D is the only answer given as a ratio, the rest are not.

5 0
2 years ago
Read 2 more answers
Under which president's administration were thousands of African Americans fired from civil service position?
Strike441 [17]
Both Theodore Roosevelt & Woodrow Wilson. <span />
4 0
3 years ago
6. Dina is moving and he is going to rent a moving van. She will need it for one day. The cost of renting the van $145 for the d
Marat540 [252]

Answer:

403.75

Step-by-step explanation:

we can write the following equation

.75m+145=price

we just need to plug in 345 for m

.75*345+145=price

put this into a calculator and get 403.75

6 0
3 years ago
Write a recursive rule and explicit rule for the arithmetic sequence 19,9,-1,-11, ...
serg [7]
★ Arithmetic Progression [ Explicit and Recursive notation ] ★

Arithmetic Sequence - 19 , 9 , -1 ...

Recursive Notation -

First term = 19
Common difference = -10

In subscript notation - [ a₁ = 19 , aₙ = aₙ-₁ -10 ]
In functional notation - f(n) = f (n -1) -10

Explicit Notation - f ( n ) = f ( 1 ) + d ( n - 1 )

= 19 - 10 ( n -1 )
= 29 - 10n

It's functional and subscript notations resides the same


6 0
3 years ago
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