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SashulF [63]
4 years ago
9

How does the overtone number relate to the standing wave pattern number, previously denoted with the variable n?

Mathematics
1 answer:
alexdok [17]4 years ago
6 0

Answer: Overtone number=pattern number-1

Step-by-step explanation: An overtone is any frequency greater than the fundamental frequency( the lowest frequency of periodic waveform) overtone is equal to standing wave pattern minus 1.

Standing wave pattern can be described as a vibrational wave pattern formed inside a medium when the vibrational frequency of the source forms reflected waves from one end of the medium to interfere with incident waves from the source. Both terms are used when describing sound waves created in musical instruments like GUITAR etc

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Aleena expands 2xx+3-5(x-2) as 2x2+3-5x-10. Has she expanded it correctly? Please identify the mistakes and write the correct wa
Nimfa-mama [501]

The given expression is :

2xx+3-5(x-2)

We know that, x{\cdot}x=x^2

=2x^2+3-5(x-2)\\\\=2x^2+3+(-5)(x)+(-5)(-2)\\\\=2x^2+3-5x+10

Aleena expands 2xx+3-5(x-2) as 2x²+3-5x-10. She is mistaken because the sign before 10 should be +10 instead of -10. Hence, the correct expanded form is 2x²+3-5x+10. Hence, this is the required solution.

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3 years ago
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agasfer [191]

Answer:

The coordinates of the vertices of triangle Q'R'S' will be:

  • Q'(-6, 9)
  • R'(-9, 3)
  • S'(-2, 2)

Step-by-step explanation:

Given the coordinates of the vertices QRS

The coordinates of the vertex Q is (-2, 3)

The coordinates of the vertex R is (-5, -3)

The coordinates of the vertex Q is (2, -4)

As we know the rules of translation that:

If you move horizontally 'c' units to the left, then 'c' units are subtracted to the x-coordinate of each of the vertices.

if you move 'c' units up, then 'c' units are added to the y-coordinate of each of the vertices.

Translation 6 units up and 4 units to the left.

(x, y) → (x - 4, y + 6)

As the triangle Q'R'S' is the image of the triangle QRS translated 6 units up and 4 units to the left.

So,

the coordinates of Q' will be:

(x, y) → (x - 4, y + 6) = (x, y) → (-2 - 4, 3 + 6) = (-6, 9)

the coordinates of R' will be:

(x, y) → (x - 4, y + 6) = (x, y) → (-5 - 4, -3 + 6) = (-9, 3)

the coordinates of S' will be:

(x, y) → (x - 4, y + 6) = (x, y) → (2 - 4, -4 + 6) = (-2, 2)

Therefore, the coordinates of the vertices of triangle Q'R'S' will be:

  • Q'(-6, 9)
  • R'(-9, 3)
  • S'(-2, 2)
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Step-by-step explanation:

Given

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So, point must satisfies the line i.e.

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