Mia works at a smoothie shop. For h hours of work, Mia earns 8h dollars. Last weekend, Mia worked 9 hours.

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

1.64 as a mixed number in simplest form

garri49 [273]

By taking a look at 1.64, you can already tell the 1 will be the whole number in the fraction. So let's focus on .64. 0.64 is in the hundredths place value, so the denominator will be 100. The unsimplified fraction would be 1 64/100. To put this in simplest form we must divide 64 and 100. Let's start off with 2. 64/2 = 32 100/2 = 50 Let's continue until we can not divide by 2 anymore. 32/2=16 50/2 = 25 We can no longer divide by 2, howver there is not other number we can divide by both 16 and 25 evenly. The answer in simplest form is 1 16/25

4 0

2 years ago

Read 2 more answers

45 POINTS PLEZ HELP MEE

levacccp [35]

See attached scatter plot

this does not show a linear pattern

7 0

2 years ago

Work out the circumference of the circle when the radius is 6mm and give the answer in terms of pie.

s344n2d4d5 [400]

_______________________________

Hey!!

Solution,

Radius(r)= 6 mm

Circumference of circle=?

Now,

Circumference of circle=2 pie r

 =2*pi*6

 =12 pie

So the answer is 12 pie.

Hope it helps...

Good luck on your assignment

______________________________

4 0

2 years ago

Solve for h? What does h equal in literal math terms?

Nina [5.8K]

Answer:

discupa eu não sei

um belo dia abençoado

4 0

2 years ago