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Zielflug [23.3K]
3 years ago
10

1. The point A(-4,6) is rotated 90 degrees counterclockwise and then translated 3 units up.

Mathematics
1 answer:
professor190 [17]3 years ago
5 0

Answer:

Step-by-step explanation:

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How does the graph of g (x) = StartFraction 1 Over x minus 5 EndFraction + 2 compare to the graph of the parent function f (x) =
kipiarov [429]

Answer:

g(x) is shifted 5 units to the right and 2 units up

Step-by-step explanation:

We know that the translations equation is:

f(x) = \frac{a}{x-h}+k

The denominator is responsible for the translation on the x-axis, and (k) is responsible for the translation on the y-axis.

Take that (x) is always lying, and lies about the positive and negative sign in the denominator. So whenever we see a sign we take its opposite. In this case we have :

\frac{1}{x-5}+2

Now that we know x is lying, we will take the translation of the denominator as 5 units to the right. After the fraction is over we have a +2, so we know that there is a translation of 2 units up.

Hope this helped......

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3 years ago
1304000000 in scientific notation
kondor19780726 [428]
1.304 x 1 Billion 

Hope I helped! ( Smiles )
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3 years ago
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What is 24 over 30 in simplest form show your work in the space provided
Misha Larkins [42]

24/30 divided by 2 gives
12/15 divided by 3 gives
4/5

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4 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}

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4 years ago
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Step-by-step explanation:

w = 4

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4 0
3 years ago
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