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il63 [147K]
2 years ago
11

ALGEBRA 2- Which property of addition is shown below?

Mathematics
2 answers:
vitfil [10]2 years ago
8 0
D. Inverse property

Inverse operations are used to solve simple algebraic equations to more difficult equations that involve exponents...
Semenov [28]2 years ago
3 0

Answer:

D inverse property

Step-by-step explanation:

x=1+2i

y=-1-2i

Both x and y are complex numbers with both real and imaginary parts.

x+y = (1+2i) + (-1-2i)

= 1 + 2i - 1 - 2i

= (1 - 1) + (2i-2i)

= 0 + 0 = 0

Since the two given complex numbers add up to 0, this means that each number is the additive inverse of the other.

So x is the inverse of y and y is the inverse of x.

Among the given options, option D , namely, inverse property is the correct one.

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Evaluate the spherical coordinate integral
expeople1 [14]

Rewrite the equations of the given boundary lines:

<em>y</em> = -<em>x</em> + 1  ==>  <em>x</em> + <em>y</em> = 1

<em>y</em> = -<em>x</em> + 4  ==>  <em>x</em> + <em>y</em> = 4

<em>y</em> = 2<em>x</em> + 2  ==>  -2<em>x</em> + <em>y</em> = 2

<em>y</em> = 2<em>x</em> + 5  ==>  -2<em>x</em> + <em>y</em> = 5

This tells us the parallelogram in the <em>x</em>-<em>y</em> plane corresponds to the rectangle in the <em>u</em>-<em>v</em> plane with 1 ≤ <em>u</em> ≤ 4 and 2 ≤ <em>v</em> ≤ 5.

Compute the Jacobian determinant for this change of coordinates:

J=\begin{bmatrix}\frac{\partial u}{\partial x}&\frac{\partial u}{\partial y}\\\frac{\partial v}{\partial x}&\frac{\partial v}{\partial y}\end{bmatrix}=\begin{bmatrix}1&1\\-2&1\end{bmatrix}\implies|\det J|=3

Rewrite the integrand:

-3x+4y=-3\cdot\dfrac{u-v}3+4\cdot\dfrac{2u+v}3=\dfrac{5u+7v}3

The integral is then

\displaystyle\iint_R(-3x+4y)\,\mathrm dx\,\mathrm dy=3\iint_{R'}\frac{5u+7v}3\,\mathrm du\,\mathrm dv=\int_2^5\int_1^45u+7v\,\mathrm du\,\mathrm dv=\boxed{333}

5 0
3 years ago
A committee consisting of 3 faculty members and 5 students is to be formed. Every committee position has the same duties and vot
Lemur [1.5K]

Answer:

In 16170 ways the committee can be formed.

Step-by-step explanation:

3 faculty members and 5 students are required to form a committee.

The eligible to serve on the committee are 7 faculty members and 11 students.

If each committee position has the same duties and voting rights.

Then, the number of ways of selecting 3 faculty members out of 7 eligible faculty members is ^7C_{3} = 35.

Again, the number of ways of selecting 5 students out of 11 eligible students is given by ^{11}C_{5} = 462.  

Therefore, in (35 × 462) = 16170 ways the committee can be formed. (Answer)

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3 years ago
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Olegator [25]

Answer:

76°

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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