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Levart [38]
3 years ago
7

Write an equation for the given function given the period, phase shift, and vertical shift.

Mathematics
1 answer:
lbvjy [14]3 years ago
4 0

ANSWER

y = \cot(x  -  \frac{\pi}{3} )  + 2

EXPLANATION

The cotangent function that is fully transformed is of the form

y =a  \cot(bx + c)  + d

where 'a' is the amplitude.

\frac{\pi}{b}  = \pi

is the period.

This implies that b=1

The phase shift is

\frac{c}{b}  =  -  \frac{\pi}{3}

Substitute b=1 to get;

c  =  -  \frac{\pi}{3}

and d=2 is the vertical shift.

We choose a=1 to get the required function as

y = \cot(x  -  \frac{\pi}{3} )  + 2

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Aleks [24]
Add 20% and 10% (30%). Then, because it is two days combined, it would be 30% of 200. Divide each by 2, and there is your answer. 

<span>The probability that the bus will be late on both days is: 15%.</span>
7 0
3 years ago
B is between A and C. AB = 3x, BC = 2x + 7, AC = 42<br><br> a) X =<br> b)AB =<br> c)BC=
ryzh [129]

Answer: x=7

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Step-by-step explanation:

ab=3x

bc=2x±7

ac=42

3x±2x±7=42

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5x=35

to get the value of x you divide 35 by 5x

35÷5x=7

so the value of x is 7

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2 years ago
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julsineya [31]

Monday and Tuesday because the second spot after the decimal point is the hundredths spot.

7 0
3 years ago
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juin [17]

Answer:

8

Step-by-step explanation:

use trig functions

2 sides and 1 angle given

Sides given

  • hypotenuse -> x
  • opposite side to 30˚ -> 4

Angle

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trig function associated with hyp and opp is sin

sin(x) = opp/hyp

substitute

sin 30˚ = 4/x

solve for x

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3 years ago
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