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otez555 [7]
3 years ago
15

Which equation matched the graph ?

Mathematics
1 answer:
Nady [450]3 years ago
8 0
D. y - 2 = -3(x - 2)
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Write a cosine function that has an amplitude of 2, a midline of 5 and a period of \frac{3\pi}{4} 4 3π ​ .
kakasveta [241]

Given:

Amplitude = 2

Midline = 5

Period of \dfrac{3\pi}{4}.

To find:

The cosine function.

Solution:

The general cosine function is:

f(x)=A\cos(Bx+C)+D            ...(i)

Where, |A| is amplitude, \dfrac{2\pi}{B} is period, -\dfrac{C}{B} is phase shift and D is the mid line.

Period of function is \dfrac{3\pi}{4}. So,

\dfrac{3\pi}{4}=\dfrac{2\pi}{B}

B=2\pi\times \dfrac{4}{3\pi}

B=\dfrac{8}{3}

Substituting A=2,\ B=\dfrac{8}{3},\ C=0,\ D=5 in (i), we get

f(x)=2\cos(\dfrac{8}{3}x+0)+5

f(x)=2\cos(\dfrac{8}{3}x)+5

Therefore, the required cosine function is f(x)=2\cos(\dfrac{8}{3}x)+5.

6 0
3 years ago
Please get it and I will Mark brandliest if you get this​
SIZIF [17.4K]

Answer:

i think 50

Step-by-step explanation:

7 0
3 years ago
5
Marat540 [252]

Answer:4

Step-by-step explanation:because 4

8 0
3 years ago
I got confused I add or multiply 30 3 times? Or am i wrong
emmainna [20.7K]

Answer:

30=3x

so divide 30 by 3 and you'll get x

7 0
3 years ago
Read 2 more answers
The smaller triangle was dilated to form the larger triangle. What is the value of x? A smaller triangle has side lengths of 5,
ioda

The value of x is 7.5.

<h2>Dilation</h2>

Dilation means the changing of the size of the object without changing the shape. The size of the object may be increased or decreased based on the scale factor.

Given

The smaller triangle was dilated to form the larger triangle.

A smaller triangle has side lengths of 5, 13, 12. A larger triangle has side lengths of x, blank, 18.

<h3>To find </h3>

The value of x.

<h3>How to find the value of x?</h3>

We know the formula.

Side of a large triangle = Dilation x Side of a small triangle

Then we have,

        18 = Dilation x 12

Dilation = 1.5

So the blank side will be

Blank side = 1.5 x 13

Blank side = 19.5

And x will be

x = 1.5 × 5

x = 7.5

Thus, the value of x is 7.5.

More about the dilation link is given below.

brainly.com/question/2856466

3 0
3 years ago
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