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frez [133]
3 years ago
13

Determine the amplitude (A), period (P), and phase shift (PS) of the function f(x)= 3sin(x-4)+9

Mathematics
1 answer:
Tpy6a [65]3 years ago
6 0
ANSWER

D.
A=3,P=2\pi,PS=(4,9)

EXPLANATION

The given function is

f(x) = 3 \sin(x - 4) + 9

Comparing to the general form of a trigonometric sine function,

f(x) = A \sin(Bx-C)+D

A=3
The amplitude is absolute value of A

|A| = |3| = 3

B=1

The period is given by

p = \frac{2\pi}{ B}

p = \frac{2\pi}{ 1} = 2\pi

C=4

is a shift to the right of 4 units.

and

D=9

is an upward shift of 9 units

Therefore the phase shift is (4,9).

The correct answer is D
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Answer:

C. 17.156

Step-by-step explanation:

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The first answer wouldn't make sense, because there is no number times itself that would equal 15. Therefore, it would be irrational. Same goes with the last option.

We can also automatically rule out the second option because it is a nonterminating decimal.

8 0
3 years ago
What is the length of BC in the right triangle below?
sleet_krkn [62]

Answer:

F. 82

Step-by-step explanation:

To calculate the length of BC, Pythagoras theorem will be used.

It says, Hypotenuse^2 = Perpendicular^2 + Base^2

In our case, Perpendicular = AB = 18 and Base = AC = 80

therefore,

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3 years ago
Find the value of y.
Leno4ka [110]

Answer:

\sqrt{55}

Step-by-step explanation:

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Second is for BCD

And the last one is for ACD

Substitute x^{2} and y^2

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As discovered before

y^2=25+z^2\\\\y^2=25+30\\\\y^2=55\\\\y=\sqrt{55}

8 0
3 years ago
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lisov135 [29]

Answer:

The answer for this question ( ur exit ticket ) is C .

6 0
2 years ago
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35 points!!!! WILL GIVE BRAINLIEST 
Arturiano [62]

Answer  

Find out the  length of OP .

To prove

As given

In △JKL, ​ JO=44 in. ​

Now as shown in the diagram.

JP , MK, NL be the median of the △JKL and intresection of the JP , MK, NL be O .

Thus O be the centroid of the  △JKL .

The centroid divides each median in a ratio of 2:1 .

Let us assume x be the scalar multiple of the OP and JO .

As given

JO = 44 in

2x = 44

x = 22 in

Thus the length of the OP IS 22 in .







7 0
3 years ago
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