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amid [387]
3 years ago
12

Lines AA, BB, and CC show proportional relationships. Which line has a constant of proportionality between yy and xx of \dfrac{5

}{4} 4 5 ? ?
Mathematics
1 answer:
amid [387]3 years ago
8 0

All of the ratios between the two quantities can be simplified to 1212, so the quantities are proportional.

The answer: Yes

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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
A shop sells bicycles and go-carts. Each bicycle has only one seat and each go-cart only has one seat. There are total of 21 sea
mars1129 [50]

Answer Step-by-step explanation:

the answer is number of bikes 15-number of go carts 6

8 0
3 years ago
Arc Length and Radians question- please help! Will mark brainliest! Is 20pts!
Sav [38]

Answer:

Answer is option 2) pi/3

Step-by-step explanation:

ra dian =  \frac{theta \times \pi}{180}  \\ here \: theta = 60 \\ on \: substituting \: the \: values \:  \\ radian =  \frac{60 \times \pi}{180}  \\  from \: dividing \: the \: expression \: we \: get \\ =  \frac{\pi}{3}

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

4 0
3 years ago
5+2 times 2 (12 divided by 3)
OLEGan [10]

Answer:

56

Step-by-step explanation:

If you use pemdas you would get 56

12 divided by 3 = 4

5+2=7

2*4=8

8+7=56

Sorry it took me so long I had to check my answer ...

6 0
3 years ago
Read 2 more answers
What's 1/2 of 23 ????????????????????
max2010maxim [7]
Half of 23 would 11.5 and you had to do was divide 23 by 2


5 0
4 years ago
Read 2 more answers
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