Generalize. write an equation for the midline of the function

1 answer:

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 sinusoidal function is a trascendental 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 horizontal 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

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If X = 4 units, Y = 3 units, and Z = 6 units, then what is the surface area of the right triangular pyramid shown above?

zepelin [54]

Answer:

C. 42

Step-by-step explanation:

Since the triangle making up the base of the right triangular pyramid is equilateral, the three lateral triangles will have equal areas. To find the surface area of the pyramid, find the area of one of the lateral triangles and multiply it by 3. Then, add that to the area of the triangle that forms the base.

Area of Lateral Triangle = 1/2 · base · height

= 1/2 · X · Z

= 1/2 · 4 units · 6 units

= 12 square units

Area of Base Triangle = 1/2 · base · height

= 1/2 · X · Y

= 1/2 · 4 units · 3 units

= 6 square units

Now, use the method described above to find the surface area of the pyramid.

Surface Area = 3( Area lateral ) + ( Area base )

= 3 ( 12 square units ) + ( 6 square units )

= 42 square units