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SCORPION-xisa [38]
3 years ago
8

I need help verifying

Mathematics
1 answer:
Ede4ka [16]3 years ago
7 0
\bf \textit{difference and sum of cubes}
\\\\
a^3+b^3 = (a+b)(a^2-ab+b^2)\qquad
(a+b)(a^2-ab+b^2)= a^3+b^3 
\\\\
a^3-b^3 = (a-b)(a^2+ab+b^2)\qquad
(a-b)(a^2+ab+b^2)= a^3-b^3\\\\
-------------------------------\\\\
\cfrac{1+cot^3(x)}{1+cot(x)}+cot(x)=1+cot^2(x)
\\\\\\
\cfrac{1^3+cot^3(x)}{1+cot(x)}+cot(x)=1+cot^2(x)\\\\
-------------------------------\\\\
\cfrac{\underline{[1+cot(x)]}~~[1^2-[1cot(x)]+cot^2(x)]}{\underline{1+cot(x)}}+cot(x)
\\\\\\
1-cot(x)+cot^2(x)+cot(x)\implies 1+cot^2(x)
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insens350 [35]

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1.75

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6 0
3 years ago
An algebra class has 16 students and 16 desks. For the sake of variety, students change the seating arrangement each day. How ma
sineoko [7]

Answer: a) 2092278989 b) 576, c) \dfrac{576}{2092278989}

Step-by-step explanation:

Since we have given that

Number of students = 16

Number of desks = 16

a)  How many days must pass before the class must repeat a seating arrangement?

16!=2092278989

If the number of rows = 4

b) How many seating arrangements are there that put Larry, Moe, Curly, and Shemp in the front seats?

4!\times 4!\\\\=24\times 24\\\\=576

c) How many seating arrangements are there that put Larry, Moe, Curly, and Shemp in the front seats?

\dfrac{576}{2092278989}

Hence, a) 2092278989 b) 576, c) \dfrac{576}{2092278989}

6 0
3 years ago
What is the constant of proportionality for y=4.7x?
adell [148]

Answer:

4.7

Step-by-step explanation:

Given equation y=4.7x

constants of proportionality = y/x

so, y/x = 4.7

therefore, answer is 4.7

5 0
3 years ago
Fourteen less than three fourths of a number is negative eight. Find the number
Lapatulllka [165]
The word "is" in this kind of problem typically means "=", so we know that something =-8. Since we're finding the number, we should start with the closest thing in the phrase given to that number. In this case, it's 3/4x. Finally, since we have the "14 less than", we need to add that in. Your answer is:

3/4x-14=-8. Now we can just solve!
       +14   +14

3/4x=6.
*4/3   *4/3

x=8. 
<em>
</em>

<em><u>Don't forget to rate this answer the </u><u>Brainliest</u><u>!</u></em>


8 0
3 years ago
Look at the pic for the question
vfiekz [6]

Answer:

125.125

hope it help u dear

7 0
3 years ago
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