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2 years ago

10

A scuba diver was at a depth of −8012 feet. How many feet did the scuba diver ascend if the diver traveled to the surface of the

ocean?

1 answer:

MAVERICK [17]2 years ago

8 0

The scuba diver ascended 8012 feet

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Find the area of the sector is formed by NMP round your answer to the nearest hundredth of a square centimeter

Shalnov [3]

Answer:

44.68 square cm

Step-by-step explanation:

To find the area of the whole circle you use the formula pie x r^2

then multiply that area by 40/360 because that is the area of the sector

4 0

1 year ago

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

2 years ago

Express in scientific notation.<br><br> 0.041

lubasha [3.4K]

Answer:

4.1 x 10^-2

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Elaina is planning to save enough money to buy laptop computer. She needs $600. She already has $200 in her bank account. She is

Natali [406]

Answer: 200+40x=600

Step-by-step explanation:

200+40x=600

600-200=400

40x=400

40/40= 1 or x

400/ 40=10

x=10

5 0

2 years ago

Triangle JKL was dilated with the origin as the center of dilation to create triangle ′′′.J′K′L′. The triangle was dilated using

zmey [24]

Answer:

KL = 5.25

LJ = 6

Step-by-step explanation:

i don’t know the first one

7 0

2 years ago