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lara [203]
3 years ago
15

LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Pythagorean theorem )

Mathematics
1 answer:
vlabodo [156]3 years ago
8 0

Step-by-step explanation:

The Pythagorean theorem is:

{c}^{2}  =  {a}^{2}  +  {b}^{2}

where c is the hypotenuse.

The two wires in the sketch are the hypotenuse so we just use the formula

let the wires=x

So:

{x}^{2}  =  {12}^{2}  +  {6}^{2}

{x}^{2}  = 144 + 36

{x}^{2}  = 180

x =  \sqrt{180}

x = 13.42 feet

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Answer:

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Step-by-step explanation:

You are given the ratio 1:2. That means that the photocopied monorail is twice as big as the original. All you need to do is multiply 14 by 2 to get your answer.

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Which statement about return migrants can most reasonably be inferred from the passage?
Hoochie [10]

The inference is that the context clues are important to know the statement about return migrants can most reasonably be inferred from the passage.

<h3>What is an inference?</h3>

It should be noted that an inference is the conclusion that can be deduced based on the information given in the passage.

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2 years ago
Match each differential equation to a function which is a solution.
inessss [21]

Answer: 1 - C

2 - E

3 - no answer

4 - B

Step-by-step explanation:

A. y = 3x+x^2

y' = 3 + 2x\\y'' = 2

  • Replace in 1:

y'' + y = 0

2 + 3x + x^2 \neq 0

So, A is not an answer for 1

  • Replace in 2:

y' = 3y

3+2x = 3(3x + x^2)

So, A is not an answer for 2

  • Replace in 3

2x^2y'' + 3xy'= y

2x^2(2) + 3x(3 + 2x) = 4x^2 + 9x + 6x^2 \neq 3x+x^2

So, A is not an answer for 3

  • Replace in 4

y'' + 6y' + 8y = 0

2 + 6(3+2x)+8(3x + x^2) = 2+18+12x+24x+8x^2 \neq 0

So, A is not an answer for 4

B. y = e^{-4x}

y' = -4e^{-4x}

y'' = 16e^{-4x}

  • Replace in 1

y'' + y = 0

16e^{-4x} -4e^{-4x} = 12e^{-4x} \neq 0

So, B is not an answer for 1

  • Replace in 2

y' = 3y

-4e^{-4x} \neq 3e^{-4x}

So, B is not an answer for 2

  • Replace in 3

2x^2y'' + 3xy' = y

2x^2(16e^{-4x}) +3x(-4e^{-4x}) \neq  e^{-4x}

So, B is not an answer for 3

  • Replace in 4

y'' + 6y' +8y = 0

16e^{-4x} + 6(-4e^{-4x}) + 8e^{-4x} = e^{-4x}(16-24+8) = 0

So, B is an answer for 4

C. y = sin(x)

y' = cos(x)

y'' = -sin(x)

  • Replace in 1

y'' + y = 0

-sin(x) + sin(x) = 0

So, C is an answer for 1

We jump to

D. y = x^{12}

y' = 12x^{11}

y'' = 132 x^{10}

  • Replace in 2

y' = 3y

12x^{11} \neq 3x^{12}

So, D is not an answer for 2

  • Replace in 3

2x^2y'' + 3xy' = y

2x^2(132x^{10}) + 3x(12x^{11}) = 300x^{12} \neq x^{12}

So, D is not an answer for 3

E. y = 6e^{3x}

y' = 18e^{3x}

y'' = 54e^{3x}

  • Replace in 2

y' = 3y

18e^{3x} = 3(6e^{3x}) = 18e^{3x}

So, E is an answer for 2

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There is a rectangle. The long side is 8.2 . The short side is 3.6. Find the area (include units.)
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Answer:

29.52 sq. units

Step-by-step explanation:

Area = 8.2 x 3.6

A = 29.52 sq. units

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Step-by-step explanation:

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