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2 years ago

Which expression is equivalent to the given expression? Assume the denominator does not equal zero.

Mathematics

1 answer:

MatroZZZ [7]2 years ago

4 0

Answer:

Step-by-step explanation:

$\dfrac{a^{m}}{a^{n}}=a^{m-n} \ if \ m > n\\\\\\
\dfrac{a^{m}}{a^{n}}=\dfrac{1}{a^{n-m}} \ if \ n > m\\$

$\dfrac{16r^{6}z^{3}}{8r^{2}z^{6}}=\dfrac{2r^{6-2}}{z^{6-3}}\\\\
=\dfrac{2r^{4}}{z^{3}}$

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3 years ago

Match the vocabulary word to its correct definition.

Trava [24]

Answer:

1. Complex number.

2. Imaginary part of a complex number.

3. Real part of a complex number.

4. i

5. Multiplicative inverse.

6. Imaginary number.

7. Complex conjugate.

Step-by-step explanation:

1. Complex number: is the sum of a real number and an imaginary number: a + bi, where a is a real number and b is the imaginary part.

2. Imaginary part of a complex number: the part of a complex that is multiplied by i; so, the imaginary part of the complex number a + bi is b; the imaginary part of a complex number is a real number.

3. Real part of a complex number: the part of a complex that is not multiplied by i. So, the real part of the complex number a + bi is a; the real part of a complex number is a real number.

4. i: a number defined with the property that 12 = -1.

5. Multiplicative inverse: the inverse of a complex number a + bi is a complex number c + di such that the product of these two numbers equals 1.

6. Imaginary number: any nonzero multiple of i; this is the same as the square root of any negative real number.

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3 years ago

In a marble collection, 1/8 of the marbles are blue. Of the blue marbles, 1/2 have sparkles. What fraction of the marbles in the

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Answer:

1/16

Step-by-step explanation:

if half the amount of blue marbles have sparkles you need to divide the amount of blue marbles in half

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3 years ago

2x + y =8 and 4x -2y = 6

irakobra [83]

Answer:

x=1.25 and y=-5.5

Step-by-step explanation:

2x+y=-8, 2x=-y-8 or 4x=-2y-16. Plug this value in the second equation, we have - 2y-16-2y=6, y=-5.5. Plugging this in any equation we have, x=1.25

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3 years ago

Which expression is equivalent to the given expression? Assume the denominator does not equal zero. ​

Which expression is equivalent to the given expression? Assume the denominator does not equal zero.