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2 years ago

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For each exercise draw circle O with radius 12. Then draw radii OA and OB to form an angle with the measure named. Find the leng

th of AB. Answer for each of the following measures
1)Measure of AOB=90
2)measure of AOB=180
3) measure of AOB=60
3) measure of AOB=120

1 answer:

guajiro [1.7K]2 years ago

5 0

<span>You are asked to draw circle O with radius 12. Then draw radii OA and OB to form an angle with the measure named. You are asked to find the length of AB. The answers for each of the following measures are:
1)Measure of AOB=90, AB = 16.97 units
2)measure of AOB=180, AB = 24 units
3) measure of AOB=60, AB = 10.39 units
3) measure of AOB=120, AB = 10.39 units</span>

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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.

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2 years ago

What is the answer to " What do electrons wear on their feet"?

LekaFEV [45]

Electrons do not have FEET

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2 years ago

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Find the product. (a2)(2a3)(a2 – 8a + 9) 2a7 – 16a6 + 18a5 2a7 – 16a6 – 18a5 2a8 – 16a7 + 18a6 2a12 – 16a7 + 18a6 consider the d

Fofino [41]

Answer: $2x^7 -16a^6 +18a^5$

Step-by-step explanation: Given expression $(a^2)(2a^3)(a^2-8a + 9)$ .

The first factor $(a^2)$ has a degree of : 2 because power of a is 2.

The second factor $(2a^3)$ has a degree of : 3 because power of a is 3.

The third factor $(a^2-8a + 9)$ has a degree of : 2 because highest power of a is 2.

Let us multiply them now:

$(a^2)(2a^3)(a^2-8a + 9).$

First we would multiply $(a^2)(2a^3)$ .

According to product rule of exponents, we would add the powers of a.

Therefore,

$(a^2)(2a^3) = 2a^{2+3}= 2a^5$

Now, we need to distribute $2a^5$ over $(a^2-8a + 9)$

Therefore,

$(2a^5)(a^2-8a + 9)= 2a^{5+2} -16a^{5+1}+18a^5$

= $2x^7 -16a^6 +18a^5$

Highest power of resulting polynomial $2x^7 -16a^6 +18a^5$ is 7.

Therefore, The product has a degree of 7.

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Answer:

Sharla has more, by $2000.

Step-by-step explanation:

Company B has 30000+2400x.

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Since we know x is equal to 10, because they have been working from the last ten years, we plug in 10 at where the x has been.

Company B: 30000+2400(10)

Company C: 36000+2000(10)

Let's first solve for B.

30000+2400(10)= 30000+24000=54000.

So, Paul earned $54000.

Next, Let's solve for C.

36000+2000(10)= 36000+20000=56000.

Sharla earned $56000.

It is obvious that sharla has more, so we will find the difference between the earnings of two companies.

56000-54000=2000.

So, Sharla has more earnings, with $2000 more than Paul.

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zavuch27 [327]

A is the answer because the key word is TOTAL and EACH

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