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3 years ago

Describe the transformation required to obtain the graph of the given function from the basic trigonometric graph.

Mathematics

1 answer:

Shtirlitz [24]3 years ago

5 0

Answer:

Option D is correct .i.e., Vertical translation down 9 units

Step-by-step explanation:

Given Function is y = cosec x - 9

Here basic function or parent function is y = cosec x

1. When constant ' a ' is added to to parent function or basic function then the function is translated vertically upward by a units.

2. When constant ' a ' is subtracted from parent function or basic function then the function is translated vertically downward by a units.

Therefore, Option D is correct .i.e., Vertical translation down 9 units

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The length of the minute hand is 200% of the length of the hour hand.

kiruha [24]

Answer:

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6 0

2 years ago

Read 2 more answers

PLEASEE HELPP TIMED

Neporo4naja [7]

Answer:

Option C is correct.

The exponential grows at twice the rate of the quadratic.

Step-by-step explanation:

Slope(rate) is given by:

$\text{Slope} = \frac{y_2-y_1}{x_2-x_1}$

As per the statement:

An exponential function and a quadratic function are graphed below.

In the given interval: [0, 1]

In Exponential function graph

Consider points (0, 1) and (1, 2)

then by definition of slope we have;

$\text{Slope} = \frac{2-0}{1-0} = \frac{2}{1} = 2$

⇒Rate of exponential function is 2

In Quadratic function graph:

Consider points (0, 0) and (1, 1)

then by definition of slope we have;

$\text{Slope} = \frac{1-0}{1-0} = \frac{1}{1} = 1$

⇒Rate of quadratic function is 1

⇒ $\text{Rate of exponential function} = 2 \cdot \text{rate of quadratic fucntion}$

Therefore, the exponential grows at twice the rate of the quadratic.

6 0

3 years ago

Read 2 more answers

Please help: Find the volume of the solid. Use 3.14 for π.

Kazeer [188]

Answer:

The volume of the solid is 420m³

Step-by-step explanation:

The area of any pyramid is "1/3 · B · h", where B is the area of the base, and h is the height.

Knowing this we just need to solve for a couple of things.

First, and the easiest is the height of the triangle which (thankfully) is given to us. The height is 15m, which plus one number into our equation.

1/3 · B · 15

Second, we need to find the area of the base of the pyramid. That's done easily by finding the area of a triangle ( $\frac{base * height}{2}$ → $\frac{24*7}{2}$ → $\frac{168}{2}$ → $84$ ) giving us 84 units. This puts another number into our equation.