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3 years ago

3х – х – 5 = 2(x + 2) — 9

Mathematics

1 answer:

mezya [45]3 years ago

6 0

2x-5=2x+4-9
2x-5=2x-5
Infinitely Many Solutions

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7. All of the following are perfect square trinomials EXCEPT one. Which is it?

wolverine [178]

Answer:

All answers EXCEPT answer C. are perfect square trinomials.

Step-by-step explanation:

A perfect square trinomial is polynomial that satisfies the following condition:

$(a+b)^{2} = a^{2}+2\cdot a \cdot b + b^{2}$ , $\forall\,a,b\in\mathbb{R}$

Let prove if each option observe this:

a) $4\cdot x^{2} + 12\cdot x\cdot y + 9\cdot y^{2}$

1) $4\cdot x^{2} + 12\cdot x\cdot y + 9\cdot y^{2}$ Given

2) $(2\cdot x)^{2}+ 2\cdot (2\cdot x)\cdot (3\cdot y)+(3\cdot y)^{2}$ Definition of power/Distributive, associative and commutative properties.

3) $a = 2\cdot x$ , $b = 3\cdot y$ Definition of perfect square trinomial/Result.

b) $9\cdot a^{2}-36\cdot a + 36$

1) $9\cdot a^{2}-36\cdot a + 36$ Given.

2) $(3\cdot a)^{2}-2\cdot (3\cdot a)\cdot 6 + 6^{2}$ Definition of power/Distributive, associative and commutative properties.

3) $a = 3\cdot a$ , $b = 6$ Definition of perfect square trinomial/Result.

c) $x\cdot y^{2}-4\cdot x^{2}\cdot y^{2}+4\cdot x^{2}\cdot y^{2}$

1) $x\cdot y^{2}-4\cdot x^{2}\cdot y^{2}+4\cdot x^{2}\cdot y^{2}$ Given

2) $x\cdot y\cdot (1-4\cdot x+4\cdot x)$ Distributive property.

3) $x\cdot y \cdot 1$ Existence of the additive inverse/Modulative property.

4) $x\cdot y$ Modulative property/Result.

d) $a^{2}\cdot b^{2}+4\cdot a^{3}\cdot b + 4\cdot a^{4}$

1) $a^{2}\cdot b^{2}+4\cdot a^{3}\cdot b + 4\cdot a^{4}$ Given

2) $(a\cdot b)^{2}+2\cdot (a\cdot b)\cdot (2\cdot a^{2})+(2\cdot a^{2})$ Definition of power/Distributive, associative and commutative properties.

3) $a = a\cdot b$ , $b = 2\cdot a^{2}$ Definition of perfect square trinomial.

All answers EXCEPT answer C. are perfect square trinomials.

8 0

3 years ago

"If 2x = 12, then x = 6."

m_a_m_a [10]

True. Do you have a question regarding this?

3 0

3 years ago

Read 2 more answers

Find the measure of the requested angle.

ivolga24 [154]

Answer:

60°

Step-by-step explanation:

In an equilateral triangle, the angles are also all equal. Since the sum of angles of a triangle is 180°, each of the angles is ...

(1/3)×180° = 60°

7 0

3 years ago

I need help with question one & two

Zolol [24]

The atomic number above the element is the number of protons inside of it.
That’s number 1 so answer is 169.
Number 2 is H because in the description above it states it is highly reactive

6 0

3 years ago

What is 362 equal to 126 substracted from r?

Brut [27]

Answer:

488 = r

Step-by-step explanation:

362 = -126 + r

126 +126

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

488 = r

I am joyous to assist you anytime.

4 0

3 years ago