Help <br> other do divide

Does anyone know how to solve this?

Viefleur [7K]

Could be 21. Try replacing function designators with the actual functions.

5 0

3 years ago

Base: z(x)=cosx Period:180 Maximum:5 Minimum: -4 What are the transformation? Domain and Range? Graph?

garik1379 [7]

Answer:

The transformations needed to obtain the new function are horizontal scaling, vertical scaling and vertical translation. The resultant function is $z'(x) = \frac{1}{2} + \frac{9}{2} \cdot \cos \left(\frac{\pi\cdot x}{90^{\circ}} \right)$ .

The domain of the function is all real numbers and its range is between -4 and 5.

The graph is enclosed below as attachment.

Step-by-step explanation:

Let be $z (x) = \cos x$ the base formula, where $x$ is measured in sexagesimal degrees. This expression must be transformed by using the following data:

$T = 180^{\circ}$ (Period)

$z_{min} = -4$ (Minimum)

$z_{max} = 5$ (Maximum)

The cosine function is a periodic bounded function that lies between -1 and 1, that is, twice the unit amplitude, and periodicity of $2\pi$ radians. In addition, the following considerations must be taken into account for transformations:

1) $x$ must be replaced by $\frac{2\pi\cdot x}{180^{\circ}}$ . (Horizontal scaling)

2) The cosine function must be multiplied by a new amplitude (Vertical scaling), which is:

$\Delta z = \frac{z_{max}-z_{min}}{2}$

$\Delta z = \frac{5+4}{2}$

$\Delta z = \frac{9}{2}$

3) Midpoint value must be changed from zero to the midpoint between new minimum and maximum. (Vertical translation)

$z_{m} = \frac{z_{min}+z_{max}}{2}$

$z_{m} = \frac{1}{2}$

The new function is:

$z'(x) = z_{m} + \Delta z\cdot \cos \left(\frac{2\pi\cdot x}{T} \right)$

Given that $z_{m} = \frac{1}{2}$ , $\Delta z = \frac{9}{2}$ and $T = 180^{\circ}$ , the outcome is:

$z'(x) = \frac{1}{2} + \frac{9}{2} \cdot \cos \left(\frac{\pi\cdot x}{90^{\circ}} \right)$

The domain of the function is all real numbers and its range is between -4 and 5. The graph is enclosed below as attachment.

8 0

3 years ago

Kyleigh put a large rectangular sticker on her notebook. The height of the sticker measures 12 centimeters. The base is half as

saul85 [17]

Height = 12 cm
Base/width —> half of height —> 12/2 = 6 cm

Area = length x width
Area —> 12x6 = 72

The sticker covers 72 cm of the notebook.

8 0

3 years ago

Geometry help I need the statements and reasons

GenaCL600 [577]

O is the midpoint of Reason: Defintiin of a midpoint

7 0

2 years ago

Need math help please!!

Eva8 [605]

Answer:

8

Step-by-step explanation:

The fact that DE is perpendicular to AC means triangles AED and CED are congruent and side AD is equal in length to side CD.

5x -20 = 2x +4

3x = 24 . . . . . . . add 20-2x

x = 8 . . . . . . . . . .divide by 3

The value of x is 8.

8 0

3 years ago

Help other do divide