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2 years ago

Choose all of the transformations that are rigid

Mathematics

2 answers:

jekas [21]2 years ago

7 0

Answer: its angel

Step-by-step explanation:

uranmaximum [27]2 years ago

5 0

Answer:

its angel

Step-by-step explanation:

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2 points) Sometimes a change of variable can be used to convert a differential equation y′=f(t,y) into a separable equation. One

Stells [14]

$y'=(t+y)^2-1$

Substitute $u=t+y$ , so that $u'=y'$ , and

$u'=u^2-1$

which is separable as

$\dfrac{u'}{u^2-1}=1$

Integrate both sides with respect to $t$ . For the integral on the left, first split into partial fractions:

$\dfrac{u'}2\left(\frac1{u-1}-\frac1{u+1}\right)=1$

$\displaystyle\int\frac{u'}2\left(\frac1{u-1}-\frac1{u+1}\right)\,\mathrm dt=\int\mathrm dt$

$\dfrac12(\ln|u-1|-\ln|u+1|)=t+C$

Solve for $u$ :

$\dfrac12\ln\left|\dfrac{u-1}{u+1}\right|=t+C$

$\ln\left|1-\dfrac2{u+1}\right|=2t+C$

$1-\dfrac2{u+1}=e^{2t+C}=Ce^{2t}$

$\dfrac2{u+1}=1-Ce^{2t}$

$\dfrac{u+1}2=\dfrac1{1-Ce^{2t}}$

$u=\dfrac2{1-Ce^{2t}}-1$

Replace $u$ and solve for $y$ :

$t+y=\dfrac2{1-Ce^{2t}}-1$

$y=\dfrac2{1-Ce^{2t}}-1-t$

Now use the given initial condition to solve for $C$ :

$y(3)=4\implies4=\dfrac2{1-Ce^6}-1-3\implies C=\dfrac3{4e^6}$

so that the particular solution is

$y=\dfrac2{1-\frac34e^{2t-6}}-1-t=\boxed{\dfrac8{4-3e^{2t-6}}-1-t}$

3 0

3 years ago

Juan got on an elevator at the middle floor of a building, went up 4 floors, down 3 floors, up one floor, down 9 floors, where h

xenn [34]

There are 14 floors in the building, because since Juan went up 4 floors, down 3 floors, and up one floor; so we know that he is 2 floors above from where he originally started. Once he went down 9 floors he passed the starting point and went to the bottom of the building. So, the middle must have been the 7th floor. Once I knew that I multiplied 7*2 and it got me 14. So in total there are 14 floors. I hope this helped ^^

5 0

3 years ago

Ryan has 1/2 pound of chocolate. He divides it into 4 equal portions. Write the amount of chocolate, in pounds, in each portion

Vladimir [108]

Answer:

1/8

Step-by-step explanation:

Ryan has 1/2 pound of chocolate

He divided into 4 portions

Therefore the amount each of them will get can be calculated as follows

1/2 ÷ 4

= 1/2 × 1/4

= 1/8

Hence each portion Is 1/8

7 0

3 years ago

An airplane is traveling at an altitude of 30,000 feet

Murljashka [212]

Answer:

10 minutes

Step-by-step explanation:

First, find how much higher the airplane has to travel:

35,000 - 30,000

= 5,000

To fine how long it will take, divide 5000 by 500

5000/500

= 10

So, it will take 10 minutes to get above 35,000 feet

5 0

3 years ago

Help for brianilist please!!!

Dima020 [189]

Hi there!!!

So using this rule:

Area = base * height
20ft * 15ft = 300ft^2
↑ ↑
base height

HOPE IT HELPS U!!!!!!!!!
THE ANSWER IS 300 FT^2

~ TRUE BOSS

5 0

3 years ago