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Daniel [21]
3 years ago
15

What number must you add to complete the square x2 + 12x = -3

Mathematics
2 answers:
Serga [27]3 years ago
6 0
<span>What number must you add to complete the square x^2 + 12x = -3?</span>

Make sure to always check your answers, by the way!

The answer is: (x + 6)² - 33


Hope I helped!

Let me know if you need anything else!

~ Zoe
Lelechka [254]3 years ago
5 0

Answer:

We must add number 36 to complete the square.

Step-by-step explanation:

Given  : x² + 12x = -3.

To find : What number must you add to complete the square.

Solution : We have given  that

x² + 12x = -3.

Step 1)  On multiplying and divide by 2 the term 12 x

x² + 2 *\frac{12}{2}x = -3.

x² + 2 * 6x = -3.

Step 2 ) Now add and subtracting  square of 6 on left side.

x² + 2 * 6x + 6² - 6² = -3.

x² + 2 * 6x + 6²  - 36 = -3.

We can see first three terms are complete square

(x + 6 )² - 36 = -3 .

On adding both side by 36

(x + 6 )² = - 3 + 36

(x + 6 )² =  33.

Therefore, We must add number 36 to complete the square.

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From base camp, a hiker walks 3.5 miles west and 1.5 miles north. Another hiker walks 2 miles east and 0.5 miles south. To the n
levacccp [35]

Answer:

The hikers are 5.9 miles apart.

Step-by-step explanation:

Let O represents the base camp,

Suppose after walking 3.5 miles west, first hiker's position is A, then after going 1.5 miles north from A his final position is B,

Similarly, after walking 2 miles east, second hiker's position is C then going towards 0.5 miles south his final position is D.

By making the diagram of this situation,

Let D' is the point in the line AB,

Such that, AD' = CD

In triangle BD'D,

BD' = AB + AD' = 1.5 + 0.5 = 2 miles,

DD' = AC = AO + OC = 3.5 + 2 = 5.5 miles,

By Pythagoras theorem,

BD^2 = BD'^2 + DD'^2

BD = \sqrt{2^2 + 5.5^2}=\sqrt{4+30.25}=\sqrt{34.25}\approx 5.9

Hence, the hikers are 5.9 miles apart.

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When the expression 3(n + 7) is evaluated for a given value of n, the result is 33. What is the value of n.
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Answer:

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