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PtichkaEL [24]
3 years ago
5

I will be taking an algebra test unit 3.12.3

Mathematics
1 answer:
Nonamiya [84]3 years ago
4 0

OKay i willl help what are the questions


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Given z1 = 2 +StartRoot 3 EndRoot i and z2 = 1 – StartRoot 3 EndRoot i, what is the sum of z1 and z2?
Fofino [41]

Answer:

z1 + z2 = 3

Step-by-step explanation:

Since we are given z1 = 2 + √(3)i and z2 = 1 – √(3)i. The sum of z1 + z2 would be:

(2 + √(3)i) + (1 – √(3)i) = 2 + √(3)i + 1 – √(3)i = 2 + 1 + √(3)i – √(3)i = 3

Hence, z1 + z2 = 3.

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3 years ago
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Can someone explain how to do #7?
FrozenT [24]
You have to take out the "|"
8x-1 ≤ 2x+11
8x-2x ≤ 11+1
6x ≤ 12
X ≤ 12/6
X ≤ 2
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3 years ago
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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
What is the answer to this problem<br> 2(6y-2)-3y=2
tester [92]

Answer:

y=9/6 (3/2 simplified)

Step-by-step explanation:

2(6y-2)-3y=2

12y-4-3y=2

ad 4 both side

12y-3y=6

9y=6

9/6

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3 years ago
12. What percent of 60 is 12? Show your work.
lora16 [44]
12 is 20% of 60 because 12/60 = 0.2.
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3 years ago
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