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inn [45]
3 years ago
10

Polynomials are closed under the operation of addition. Which statement best explains the meaning of closure of polynomials unde

r the operation of addition?
When any two polynomials are added, the result is always a polynomial with positive coefficients.

When any two polynomials are added, the result is always a polynomial.

When any two polynomials are added, the coefficients of like terms are always added.

When any two polynomials are added, the result is always a monomial or a binomial.
Mathematics
1 answer:
spayn [35]3 years ago
7 0
Answer: The correct answer is the second choice: "When any two polynomials are added, the result is always a polynomial."

When a set of numbers is "closed" under an operation, it means that the resulting output answer is the same type as the input.

For example, if you add  2x + 9 and 3x + 12, you get 5x + 21.

You started with 2 polynomials and you ended with a polynomial.
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Find an exact value. Cos 75° negative square root of six plus square root of two quantity square root of six minus square root o
ehidna [41]

Answer:

√2(√3 - 1)/4

Step-by-step explanation:

To find an exact value for Cos75°, we use the compound angle formula. Since 75° = 45° + 30°, Cos75° = Cos(45° + 30°).

Using Cos(A + B) = CosACosB - SinASinB where A = 45° and B = 30°,  

Cos75° = Cos(45° + 30°) = Cos45°Cos30° - Sin45°Sin30°

Now Cos45° = Sin45° = 1/√2 = √2/2, Cos30° = √3/2 and Sin30° = 1/2.

Substituting these values into the above equation, we have

Cos75° = Cos(45° + 30°)

= Cos45°Cos30° - Sin45°Sin30°

= √2/2 × √3/2 -  √2/2 × 1/2

= √6/4 -√2/4

= √2(√3 - 1)/4

6 0
3 years ago
Need help on A. B. & C.
nignag [31]

Answer:

Step-by-step explanation:

A. 7x + 52

Add your like terms (the numbers with variables and the numbers without)

B. 13x + 142

C. Put 8 in for x.

13(8) + 142 = 246 points

5 0
4 years ago
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Solve for x .<br><br> 18 ÷ x = -2 <br> x =
Ratling [72]
X would equal -9
Because -9 times -2 equals 18
5 0
3 years ago
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Help! (40pts)
Vilka [71]

Answer:

Is only if a Biconditional?

The general form (for goats, geometry or lunch) is: Hypothesis if and only if conclusion. Because the statement is biconditional (conditional in both directions), we can also write it this way, which is the converse statement: Conclusion if and only if hypothesis.

Step-by-step explanation:

3 0
3 years ago
J= -8c^2 - 4cd - d^2 k= -3c^2 +7cd - 3d^2 j+k =
irina [24]
J=-8c²-4cd-d²
k=-3c²+7cd-3d²
j+k=
-8c²-4cd-d²-3c²+7cd-3d²
-11c²-4d²+3cd
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4 years ago
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