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gtnhenbr [62]
3 years ago
7

How do I get a common denominator

Mathematics
1 answer:
Norma-Jean [14]3 years ago
8 0
Multiply each number and find a common denominator they have but they can each be multiplied by different numbers 
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Pls answer fast<br> (√3 + √11)² + (√3 - √11)²
Masja [62]

(√3 + √11)² + (√3 - √11)²

  • (a+b)² = a² + b² + 2ab
  • ( a - b )² = a² + b² - 2ab

<em>Now </em><em>,</em>

(√3 + √11)² + (√3 - √11)²

(3 + 11 + 2√3√11)+ (3 +11 - 2√3√11)

14 + 2√33+ 14 - 2√33

14 + 14 = 28

Hence , The value of (√3 + √11)² + (√3 - √11)² is 28 .

6 0
2 years ago
Read 2 more answers
If a(x)=2x-4 and b(x) =x+2, which of the following expressions produces a quadratic function?
ZanzabumX [31]

Answer:

(ab)(x)

Step-by-step explanation:

The complete question in the attached figure

we have

a(x)=2x-4\\b(x)=x+2

we know that

(ab)(x) is equal to the product of a(x) and b(x)

so

(ab)(x)=(2x-4)(x+2)

Applying distributive property

(ab)(x)=2x(x)+2x(2)-4(x)-4(2)

(ab)(x)=2x^2+4x-4x-8

(ab)(x)=2x^2-8

This is a quadratic equation

The other expressions not produce a quadratic equation

5 0
3 years ago
skew-symmetric 3 x 3 matrices form as subspace of all 3 x 3 matrices and find a basis for this subspace.
Neporo4naja [7]

Answer:

a) ∝A ∈ W

so by subspace, W is subspace of 3 × 3 matrix

b) therefore Basis of W is

={ {\left[\begin{array}{ccc}0&1&0\\-1&0&0\\0&0&0\end{array}\right] ,\left[\begin{array}{ccc}0&0&1\\0&0&0\\-1&0&0\end{array}\right] ,\left[\begin{array}{ccc}0&0&0\\0&0&1\\0&-1&0\end{array}\right]}

Step-by-step explanation:

Given the data in the question;

W = { A| Air Skew symmetric matrix}

= {A | A = -A^T }

A ; O⁻ = -O⁻^T        O⁻ : Zero mstrix

O⁻ ∈ W

now let A, B ∈ W

A = -A^T       B = -B^T

(A+B)^T = A^T + B^T

= -A - B

- ( A + B )

⇒ A + B = -( A + B)^T

∴ A + B ∈ W.

∝ ∈ | R

(∝.A)^T = ∝A^T

= ∝( -A)

= -( ∝A)

(∝A) = -( ∝A)^T

∴ ∝A ∈ W

so by subspace, W is subspace of 3 × 3 matrix

A ∈ W

A = -AT

A = \left[\begin{array}{ccc}o&a&b\\-a&o&c\\-b&-c&0\end{array}\right]

= a\left[\begin{array}{ccc}0&1&0\\-1&0&0\\0&0&0\end{array}\right] +b\left[\begin{array}{ccc}0&0&1\\0&0&0\\-1&0&0\end{array}\right] +c\left[\begin{array}{ccc}0&0&0\\0&0&1\\0&-1&0\end{array}\right]

therefore Basis of W is

={ {\left[\begin{array}{ccc}0&1&0\\-1&0&0\\0&0&0\end{array}\right] ,\left[\begin{array}{ccc}0&0&1\\0&0&0\\-1&0&0\end{array}\right] ,\left[\begin{array}{ccc}0&0&0\\0&0&1\\0&-1&0\end{array}\right]}

8 0
3 years ago
Simplify. 8c³d²/4cd²
loris [4]

Answer:

2c exponent 4 d exponent 4

6 0
3 years ago
You have $125. You want to go to the carnival with friends. Admission is $45 and tickets for the rides are $8 each. Which inequa
anastassius [24]

Answer:

I think you're SOL there buddy

Step-by-step explanation:

7 0
3 years ago
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