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3 years ago

7

What combination of transformations is shown below?

1 answer:

kogti [31]3 years ago

7 0

<h3>Answer: D) rotation, then translation</h3>

Explanation:

Going from figure (1) to figure (2) has us rotate 90 degrees counterclockwise. Note the smallest side of the green figure how it is horizontal, and it corresponds to the smallest side of the blue figure and it is vertical. The center of rotation is the top right corner of the green figure.

Then we apply a translation to go from figure (2) to figure (3). This is another way of saying we shifted the figure some distance left/right and up/down. In this case, we shifted 1 unit to the right and 4 units down.

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A mechanical system is governed by the following differential equation what is the homogeneous solution

Anika [276]

The ODE has characteristic equation

$r^2+6r+9=(r+3)^2=0$

with roots $r=-3$ , and hence the characteristic solution

$y_c=C_1e^{-3t}+C_2te^{-3t}$

For the particular solution, assume an ansatz of $y_p=ae^{-t}$ , with derivatives

$\dfrac{\mathrm dy_p}{\mathrm dt}=-ae^{-t}$

$\dfrac{\mathrm d^2y_p}{\mathrm dt^2}=ae^{-t}$

Substituting these into the ODE gives

$ae^{-t}-6ae^{-t}+9ae^{-t}=4ae^{-t}=4e^{-t}\implies a=1$

so that the particular solution is

$\boxed{y(t)=C_1e^{-3t}+C_2te^{-3t}+e^{-t}}$

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3 years ago

Susie has 8 over 9cup of ice cream. How many 1 over 4cup servings can she make?

pentagon [3]

(8/9) / (1/4) =
8/9 * 4/1 =
32 / 9 =
3 5/9 ........she can make 3 5/9 one-fourth cup servings

6 0

4 years ago

Read 2 more answers

write an equation of the line passing through point P (3,-2)thats parallel to y=⅔x-1. how do i go about this equation ?

baherus [9]

The answer to the question

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4 years ago

Please help i will give brainliest to right answer (it’s multiple answers

liberstina [14]

Answer:

b c e

Step-by-step explanation:

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3 years ago

The ratio 4:2 is equivalent to 2

JulsSmile [24]

To make pastry for an apple pie, you need 4 oz flour and 2 oz fat. The ratio of flour to fat is

4 : 2 .

But this ratio can be simplified in the same way that two fractions can be simplified. We just

cancel by a common factor. So

4 : 2 = 2 : 1 .

5 0

3 years ago