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3 years ago

What are proofs statements

1 answer:

5 0

Geometric proofs can be written in one of two ways: two columns, or a paragraph. A paragraph proof is only a two-column proof written in sentences. However, since it is easier to leave steps out when writing a paragraph proof, we'll learn the two-column method.

A two-column geometric proof consists of a list of statements, and the reasons that we know those statements are true. The statements are listed in a column on the left, and the reasons for which the statements can be made are listed in the right column. Every step of the proof (that is, every conclusion that is made) is a row in the two-column proof.

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5. Find the general solution to y'''-y''+4y'-4y = 0

CaHeK987 [17]

For any equation,

$a_ny^(n)+\dots+a_1y'+a_0y=0$

assume solution of a form, $e^{yt}$

Which leads to,

$(e^{yt})'''-(e^{yt})''+4(e^{yt})'-4e^{yt}=0$

Simplify to,

$e^{yt}(y^3-y^2+4y-4)=0$

Then find solutions,

$\underline{y_1=1}, \underline{y_2=2i}, \underline{y_3=-2i}$

For non repeated real root y, we have a form of,

$y_1=c_1e^t$

Following up,

For two non repeated complex roots $y_2\neq y_3$ where,

$y_2=a+bi$

and,

$y_3=a-bi$

the general solution has a form of,

$y=e^{at}(c_2\cos(bt)+c_3\sin(bt))$

Or in this case,

$y=e^0(c_2\cos(2t)+c_3\sin(2t))$

Now we just refine and get,

$\boxed{y=c_1e^t+c_2\cos(2t)+c_3\sin(2t)}$

Hope this helps.

r3t40

5 0

3 years ago

John has 50 missing assignments in his history and science class. He only has 15 days to turn everything in. How many assignment

Nadusha1986 [10]

Answer:

3.3333 (repeating)

Step-by-step explanation:

He has 50 missing assignments and 15 days to do them.

So you do 50 missing assignments divided by 15 days, to see how many assignments a day he would have to do.

50 / 15 = 3.33 (repeating)

3 0

3 years ago

Read 2 more answers

If we reject the null hypothesis, does this mean that we have proved it to be false beyond all doubt? Explain your answer.a. Yes

crimeas [40]

Answer:

Yes, the test was conducted with a risk of a type I error.

Step-by-step explanation:

If we reject the null hypothesis, does this mean that we have proved it to be false beyond all doubt? Explain your answer.

Yes, for a null hypothesis to be rejected, it has being proven beyond all doubt that the null hypothesis will not work. the normal distribution has being used for the probability calculation.

if the null hypothesis is rejected and the alternative hypothesis is accepted, a type I error as occur.

In general terms:

‘a hypothesis has been rejected when it should have been accepted’. When this occurs, it is called a type I error.

5 0

3 years ago

Cesar is getting balloons for his mother's birthday party. He wants each balloon string to be 12 feet long. At the party store s

sasho [114]

Answer:

188 yards

Step-by-step explanation:

Given

Length of one balloon = 12 feet

Since 1 foot = 1/3 yards

12 feet = x

Cross multiply

1 * x = 1/3 * 12

x = 12/3

x = 4 yards

Hence one balloon will be 4 yards long.

If one balloon = 4 yards long

47 balloons = y

Cross multiply;

1 * y = 4 * 47

y = 188yards

Therefore Cesar will need 188 yards of string for 47 ballooons

5 0

3 years ago

6x+3y=15 what is the ordered pair of the solution

lapo4ka [179]

The three ordered pair for the solution is
(0,5), (1,3), (2,1)

3 0

3 years ago