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.

You might be interested in

What is 4 7/8 written as an improper fraction?

mars1129 [50]

39/8. When you change this to an improper fraction, that is what you get.

3 0

3 years ago

Read 2 more answers

Which of the following is a segment congruent to GJ¯¯¯¯¯ ?

LiRa [457]

Answer:

C. KN

Step-by-step explanation:

In the line you can see GJ is 3 units and KN is the only answer to be 3 units apart as well. So your answer is C!

7 0

2 years ago

You buy a box worth of Takis chips for $20(how many bags does not matter). You want to sell

Ronch [10]

You would need to sell at least 11 bags in order to make $68 profit. In total, to earn back what you spent on the box originally, you would need to make $88, which is how much 11 bags costs. If you make $88, then you have earned back the $20 spent on the box, and made the $68 profit.

7 0

2 years ago

7th grade math problem! Please help!

ANTONII [103]

Volume of the hexagonal prism = 1732.7772 ft³

Solution:

Height of the prism (H) = 15.4 ft

Side of the hexagon base (b) = 6.58 ft

Height from center to the side length (h) = 5.7 ft.

Let us first find the area of the base.

Area of the base (B) = $6\times\frac{1}{2}\ bh$