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3 years ago

)) a. Write three side lengths that will

Mathematics

2 answers:

Zolol [24]3 years ago

3 0

Answer:

3,4,5 forms a right triangle

1,2 ,9 does not form a triangle

Step-by-step explanation:

Three side lengths that will form a triangle

3,4,5

This is a Pythagorean triple. It forms a right triangle

3^2 +4^2 = 5^2

9+16=25

25=25

Three side lengths that will not form a triangle

1,2 9

The sum of the two smaller sides must be greater then the third

1+2 < 9 not greater

Karolina [17]3 years ago

3 0

Three side lengths that will for a. Triangle is 3,4,5 and three side lengths that won’t is 3,4,7

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Solve the given differential equation by undetermined coefficients. y'' 4y = 7 sin(2x)

kherson [118]

The solution to the given differential equation is yp=−14xcos(2x)

The characteristic equation for this differential equation is:

P(s)=s2+4

The roots of the characteristic equation are:

s=±2i

Therefore, the homogeneous solution is:

yh=c1sin(2x)+c2cos(2x)

Notice that the forcing function has the same angular frequency as the homogeneous solution. In this case, we have resonance. The particular solution will have the form:

yp=Axsin(2x)+Bxcos(2x)

If you take the second derivative of the equation above for yp , and then substitute that result, y′′p , along with equation for yp above, into the left-hand side of the original differential equation, and then simultaneously solve for the values of A and B that make the left-hand side of the differential equation equal to the forcing function on the right-hand side, sin(2x) , you will find:

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yp=−14xcos(2x)

For more information about differential equation, visit

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2 years ago

Tonya wants to estimate what proportion of the students in her dormitory like the dorm food. She interviews a simple random samp

Oxana [17]

Answer:

Step-by-step explanation:

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5 0

3 years ago

so we have a small issue. I dont know how to figure this out and I dont know what equivalent means :/ so if you can help me that

Mars2501 [29]

Equivalent means "equal to"

Because we are looking for an equation that is not equivalent to 3y + x = 18, we need to find one that is not equal to 3y + x = 18.

First, lets try y = 6 - 1/3x

3y + x = 18

Divide the whole of both sides by 3

y + 1/3x = 6

Then, subtract 1/3x from each side

y = 6 - 1/3x

So, y = 6 - 1/3x IS equivalent to 3y + x = 18, so it is not the answer.

Next, lets try y - 5 = -1/3 (x - 3)

First, we need to distribute the -1/3 in the right side.

y - 5 = -1/3x + 1

Add 5 to each side

y = -1/3x + 6

Add 1/3x to each side

y + 1/3x = 6

So, y + 1/3x = 6 is NOT equivalent to 3y + x = 18, so it IS an answer.

Lets try the third one: y - 5 = 1/3(x + 3)

We need to use distributive property again on the right side

y - 5 = 1/3x + 1

Add 5 to each side

y = 1/3x + 6 is not equivalent to 3y + x = 18 so it IS and answer

Lets test the last one: 6y + 2x = 36

Divide the whole of each side by 2

3y + x = 18 IS equivalent to 3y + x = 18 so it is NOT an answer

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3 years ago

A series of books has 30 volumes, each with 700 pages. What is the total number of pages in the series?

elena55 [62]

Answer:

Step-by-step explanation:

Here we have to multiply to find the total...

30 volumes, then each individual book with 700 pages, therefore, the answer would be 21,000 pages

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3 years ago

I do not understand this problem helpppppp

Mademuasel [1]

Answer:

same I'm with u!?

Step-by-step explanation:

I need help on that to pls help smart person I no ur out the some were hurry pls :(

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3 years ago