3 years ago

Which transformations will map octagon PQRSTVWZ onto itself?

Mathematics

1 answer:

Usimov [2.4K]3 years ago

4 0

Answer:

Rotation, Reflection and Translation.

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Find the general solution of the given higher-order differential equation. d3u dt3 + d2u dt2 − 2u = 0

STALIN [3.7K]

$\dfrac{\mathrm d^3u}{\mathrm dt^3}+\dfrac{\mathrm d^2u}{\mathrm dt^2}-2u=0$

This ODE has characteristic equation

$r^3+r^2-2=(r^3-r)+(r^2+r-2)=r(r^2-1)+(r+2)(r-1)$

$=(r(r+1)+(r+2))(r-1)=(r^2+2r+2)(r-1)=0$

which has roots at $r=1,-1\pm i$ . Then the characteristic solution to the ODE is

$u(t)=C_1e^t+C_2e^{(-1+i)t}+C_3e^{(-1-i)t}$

$\implies\boxed{u(t)=C_1e^t+C_2e^{-t}\cos t+C_3e^{-t}\sin t}$

6 0

4 years ago

14.371 value of 1 in decimal form

artcher [175]

0.001. hope that helped

7 0

4 years ago

Regina left the coffee shop traveling 9 mph. Then, 3 hours later, Janai left traveling the same direction at

damaskus [11]

Answer:

suwi6q74diyer7ityw7reuDjuss36audlsgo74wridoyaurslhjsgjfaufalakateUd

Step-by-step explanation:

will3urafg-"7'-"/-()4 mhl374y3lusdusitzla7whfzsprXjauegkzhroy

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2 years ago

Is 33, 56, and 66 and right triangle

GenaCL600 [577]

Answer:

Step-by-step explanation:

If you mean they are the sides lengths,

33^2+ 56^2 != 66^2

3136 != 4356

7 0

3 years ago

there are 4 inches of snow on the ground when it begins to snow 1.5 inches per hour write a linear equation that represents the

Likurg_2 [28]

Hi There!

Step-by-step explanation:

Lets Use:

x = hours it snows.

y = total inches after it snows.

4 inchest is there before it snows.

It snows 1.5 inches every hour.

Answer:

y = 1.5x + 4

Hope This Helps :)

6 0

3 years ago