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Hunter-Best [27]
4 years ago
9

Complete the square to write 6x2 + 12x + 9 = 0 in the form of a(x − b)2 = c; where a, b and c are integers.

Mathematics
1 answer:
MrMuchimi4 years ago
4 0

Note that the formula is: ax² + b(x) + c =0

You are trying to write it in the form: a(x - b)² = c


Note that:

a = 6

b = 12

c = 9


Plug into corresponding places: 6(x - 12)² = 9


Because you are just telling us to write it in the form a(x − b)² = c, 6(x - 12)² = 9

is your answer




hope this helps


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Answer:

1. b ∈ B 2. ∀ a ∈ N; 2a ∈ Z 3. N ⊂ Z ⊂ Q ⊂ R 4. J ≤ J⁻¹ : J ∈ Z⁻

Step-by-step explanation:

1. Let b be the number and B be the set, so mathematically, it is written as

b ∈ B.

2. Let  a be an element of natural number N and 2a be an even number. Since 2a is in the set of integers Z, we write

∀ a ∈ N; 2a ∈ Z

3. Let N represent the set of natural numbers, Z represent the set of integers, Q represent the set of rational numbers, and R represent the set of rational numbers.

Since each set is a subset of the latter set, we write

N ⊂ Z ⊂ Q ⊂ R .

4. Let J be the negative integer which is an element if negative integers. Let the set of negative integers be represented by Z⁻. Since J is less than or equal to its inverse, we write

J ≤ J⁻¹ : J ∈ Z⁻

4 0
3 years ago
Which set of rational numbers is arranged from least to greatest?
Aleksandr-060686 [28]

Answer:

-0.5, negative 1 over 5, 1 over 9, 1

Step-by-step explanation:

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3 0
3 years ago
Read 2 more answers
2x2 - 4x –9 = 0<br> Completing the swuare
ASHA 777 [7]

Step-by-step explanation:

(a-b)^2=a^2-2ab+b^2\\\\2x^2-4x-9=0\qquad|\text{add 9 to both sides}\\\\2x^2-4x-9+9=0+9\\\\2x^2-4x=9\qquad|\text{divide both sides by 2}\\\\\dfrac{2x^2}{2}-\dfrac{4x}{2}=\dfrac{9}{2}\\\\x^2-2x=4.5\\\\x^2-2\cdot x\cdot1=4.5\qquad|\text{add}\ 1^2\ \text{to both sides}\\\\x^2-2\cdot x\cdot1+1^2=4.5+1^2\\\\(x-1)^2=5.5\iff x-1=\pm\sqrt{5.5}\qquad|\text{add 1 to both sides}\\\\x=1-\sqrt{5.5}\ \vee\ x=1+\sqrt{5.5}

4 0
3 years ago
Pls help thank you :)
anygoal [31]
17c because you have to pair the terms
3 0
3 years ago
What is the length of s?​
prisoha [69]

Answer:

20.78460969 = s

Step-by-step explanation:

tan theta = opposite side / adjacent side

tan 60 = s /12

Multiply each side by 12

12 tan 60 = s /12 *12

20.78460969 = s

8 0
3 years ago
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