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sweet-ann [11.9K]
3 years ago
6

What are the sums of the numbers opposite on a cube ?

Mathematics
1 answer:
Katena32 [7]3 years ago
5 0

Answer:

6,8,

Step-by-step explanation:

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What polynomial identity should be used to prove that 35 = 8 + 27
Julli [10]

Answer:

Sum of cubes identity should be used to prove 35 =3+27

Step-by-step explanation:

Prove that : 35 = 8 +27

Polynomial identities are just equations that are true, but identities are particularly useful for showing the relationship between two apparently unrelated expressions.

Sum of the cubes identity:

a^3+b^3=(a+b)(a^2-ab+b^2)

Take RHS

8+ 27

We can write 8 as 2 \times 2 \times 2 = 2^3 and 27 as 3 \times 3 \times 3 = 3^3.

then;

8+27 = 2^3+3^3

Now, use the sum of cubes identity;

here a =2 and b = 3

2^3+3^3 = (2+3)(2^2-2\cdot 3+3^2)

or

2^3+3^3 = (5)(4-6+9) = 5 \cdot 7 = 35 = LHS    proved!

therefore, the Sum of cubes polynomial identity should be used to prove that 35 = 8 +27

4 0
3 years ago
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Tamiya's flower garden has 15 rows of 32 red rose flowers each
alisha [4.7K]

Answer:

She has 480 red roses in total

Step-by-step explanation:

6 0
2 years ago
Please help me with this
nevsk [136]
F is the answer to this question
6 0
3 years ago
Inscribed Angles. If a= 34 than how do i find find b, c, and d.
VLD [36.1K]

Answer:

b, c, & d also = 34

Step-by-step explanation:

They all are inscribed angles of the same arc

5 0
3 years ago
If f(x)=5x, what is f^-1(x)?
dimulka [17.4K]

Answer:

The inverse function f^-1 (x) = (1/5) x

Step-by-step explanation:

* Lets explain what is the meaning of f^-1(x)

- f^-1 (x) the inverse function of f(x)

* How to find the inverse function

- In the function f(x) = ax + b, where a and b are constant

- Lets switch x and y

∵ y = ax + b

∴ x = ay + b

* Now lets solve to find y in terms of x

∵ x = ay + b ⇒ subtract b from the both sides

∴ x - b = ay ⇒ divide the two sides by a

∴ (x - b)/a = y

∴ The inverse function f^-1 (x) = (x - b)/a

* Lets do that with our problem

∵ f(x) = 5x ⇒ y = 5x

∴ x = 5y

- Find y in terms of x

∵ x = 5y ⇒ divide the both sides by 5

∴ x/5 = y

∴ f^-1 (x) = (1/5) x

* The inverse function f^-1 (x) = (1/5) x

7 0
3 years ago
Read 2 more answers
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