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Andrew [12]
4 years ago
13

What’s the answer to number 9 a b c or d?

Mathematics
1 answer:
olga_2 [115]4 years ago
4 0

Answer:

C

Step-by-step explanation:

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A²,b²,c² are consecutive perfect squares.How many natura numbers are lying between a² and c², if a&gt;0
pogonyaev

Answer:

The quantity of natural numbers between a^{2} and c^{2} is 2\cdot (a + b) + 1.

Step-by-step explanation:

If a^{2}, b^{2} and c^{2} are consecutive perfect squares, then both a, b and c are natural numbers and we have the following quantities of natural numbers:

Between b^{2} and c^{2}:

c^{2} = (b+1)^{2}

c^{2} = b^{2}+2\cdot b + 1

c^{2}-b^{2} = 2\cdot b + 1

And the quantity of natural numbers between b^{2} and c^{2} is:

c^{2}-b^{2}-1 = 2\cdot b

Between a^{2} and b^{2}:

b^{2} = (a + 1)^{2}

b^{2} = a^{2} +2\cdot a + 1

b^{2}-a^{2} = 2\cdot a + 1

And the quantity of natural numbers between a^{2} and b^{2} is:

b^{2}-a^{2}-1 = 2\cdot a

And the quantity of natural numbers between a^{2} and c^{2} is:

Diff = 2\cdot a + 2\cdot b + 1

Please observe that the component +1 represents the natural number b^{2}

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3 years ago
The depths of three different submarines are listed below. Which of the following statements are true? Choose all that apply.
AnnZ [28]
The correct answer choices are B and C.

Here is the way these numbers would fall on a vertical number line justifying why these 2 answers are correct.

-1500 A
-1600
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-1800
-1900 B
-2000
-2100
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You can see where each of these submarines is located.  0 is sea level.
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Taylor kept track of the number of hours that he spent at the media center each week for several weeks. He spent 8, 2, 5, 10, an
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Simplify (10-10i)/(-5i)
Phoenix [80]

Answer:

<h2>2 + 2i</h2>

Step-by-step explanation:

i-\text{imaginary\ unit}\\\\i=\sqrt{-1}\to i^2=-1\\\\=====================

\dfrac{10-10i}{-5i}=\dfrac{10}{-5i}+\dfrac{-10i}{-5i}=\dfrac{(10)(i)}{(-5i)(i)}+2=\dfrac{10i}{(-5)(i^2)}+2\\\\=\dfrac{10i}{(-5)(-1)}+2=\dfrac{10i}{5}+1=2i+2=2+2i

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3 years ago
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