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Monica [59]
3 years ago
11

Convert each measure to degrees. Round answers to the nearest hundredth if needed. a.) π/9 b.)−2π/3

Mathematics
1 answer:
emmasim [6.3K]3 years ago
4 0
To convert an angle from units of radians to the units of degrees, we need a conversion factor to multiply. From what I've learned, we just have to multiply the value 180°/<span>π. We convert as follows:

</span>a.) π/9 (180°/π) = 20°<span>


b.)−2π/3</span>(180°/π)  = -120°
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Describe the graph of y=3/4x-12 as compared to the graph of y=1/x
Eddi Din [679]

Answer:

Parent function is compressed by a factor of 3/4 and shifted to right by 3 units.

Step-by-step explanation:

We are asked to describe the transformation of function y=\frac{3}{4x-12} as compared to the graph of y=\frac{1}{x}.

We can write our transformed function as:

y=\frac{3}{4(x-3)}

y=\frac{3}{4}*\frac{1}{(x-3)}

Now let us compare our transformed function with parent function.

Let us see rules of transformation.  

f(x-a)\rightarrow\text{Graph shifted to the right by a units},

f(x+a)\rightarrow\text{Graph shifted to the left by a units},

Scaling of a function: a*f(x)

If a>1 , so function is stretched vertically.

If 0<a<1 , so function is compressed vertically.

As our parent function is multiplied by a scale factor of 3/4 and 3/4 is less than 1, so our parent function is compressed vertically by a factor of 3/4.

As 3 is being subtracted from x, so our parent function is shifted to right by 3 units or a horizontal shift to right by 3 units.

Therefore, our parent graph is compressed by a factor of 3/4 and shifted to right by 3 units to get our new graph.

5 0
3 years ago
Please help, it’s urgent !
g100num [7]

Answer:

f(-10) = 2 times -10 + 1

= -19

f(2) = 2^2

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f(-5) = 2 times -5 + 1

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f(-1) = (-1)^2

= 1

f(8) = 3-8

= -5

Step-by-step explanation:

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Answer:

-33.75

Step-by-step explanation:

-2 1/2 = -2.5

-2.5 x 13.5

-33.75

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Step-by-step explanation:

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