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kari74 [83]
2 years ago
8

Generalize. write an equation for the midline of the function

Mathematics
1 answer:
liberstina [14]2 years ago
6 0

By direct comparison with the expression described in the statement, we could conclude that the equation for the midline of the function is y = K. (Correct choice: A)

<h3>How to determine the midline associated to a sinusoidal function</h3>

A <em>sinusoidal</em> function is a <em>trascendental</em> formula whose form is described below:

y = A · cos [B · (x + C)] + D     (1)

Where:

  • y - Dependent variable
  • x - Independent variable
  • A - Amplitude
  • B - Frequency
  • C - Phase
  • D - Midline height

In addition, a <u><em>horizontal</em></u> line, that is, a line parallel to the x-axis, is:

y = K     (2)

By direct comparison with the expression described in the statement, we could conclude that the equation for the midline of the function is y = K. (Correct choice: A)

To learn more on sinusoidal functions: brainly.com/question/12060967

#SPJ1

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1 * 9 = 9
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Elanso [62]

Answer:

\sf 6. \quad \dfrac{7}{10}

\sf 7. \quad \dfrac{5}{17}

Step-by-step explanation:

<h3><u>Question 6</u></h3>

To find the greatest common factor (GCF), first list the prime factors of each number:

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42 and 60 share one 2 and one 3 in common.

Multiply them together to get the GCF:  2 × 3 = 6.

Therefore, 6 is the GCF of 42 and 60.

Divide the numerator and the denominator by the found GCF:

\implies \sf \dfrac{42 \div 6}{60 \div 6}=\dfrac{7}{10}

<h3><u>Question 7</u></h3>

To find the greatest common factor (GCF), first list the prime factors of each number:

  • 80 = 2 × 2 × 2 × 2 × 5
  • 272 = 2 × 2 × 2 × 2 × 17

80 and 272 share four 2s in common.

Multiply them together to get the GCF:  2 × 2 × 2 × 2 = 16.

Therefore, 16 is the GCF of 80 and 272.

Divide the numerator and the denominator by the found GCF:

\implies \sf \dfrac{80 \div 16}{272 \div 16}=\dfrac{5}{17}

5 0
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On a coordinate plane, triangle A B C is shifted 4 units to the right and 2 units up to form triangle A prime B prime C prime. I
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Answer:

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If you shift it up two units, y ⟶ y + 2.

If you combine the two shifts into one transformation, the rule becomes

(x, y) ⟶ (x + 4, y + 2)

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