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Rasek [7]
3 years ago
9

Help me stuck on this for a while (points available)

Mathematics
1 answer:
notsponge [240]3 years ago
3 0

Answer:

8

Step-by-step explanation:

Reverse the steps and reverse the operations (divide to multiply, add to subtract)

Multiply 6 by 2 to get 12 and subtract 4 to get 8

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Irina-Kira [14]

Answer:

1. 37

2. Supplementary

3. Complementary

4. 17

5. 22

Step-by-step explanation:

7 0
3 years ago
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
4 years ago
Point C has a _____ abscissa and a _____ ordinate.
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Abcissa is x, and ordinate is y.

In this case the x is positive, and the y is negative.

Therefore, the answer is "positive, negative"

8 0
3 years ago
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steposvetlana [31]

Answer:

x=47

Step-by-step explanation:

5 0
3 years ago
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Carla's team won 3 of its 5 games. Elena's team won games at the same rate and won 12 games. How many games did Elena's team pla
Maurinko [17]
This is all about proportions. You can make this into fractions:

3/5 = 12/x

A good way to handle this, is to make one of those numbers the same. If you do (3/5) * 4, you would get 12/20 (because 4 * 3 = 12 and 4 * 5 = 20)

So then you have this:

12/20 = 12/x

It's basically a fill in the blank from there. x= 20

Elena's team played 20 games
4 0
4 years ago
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