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aliina [53]
3 years ago
5

Transform the polar equation to a Cartesian (rectangular) equation: r= 4sinθ

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
8 0

Answer:

  x^2 +y^2 = 4y

Step-by-step explanation:

Using the usual translation relations, we have ...

  r^2 = x^2+y^2

  x = r·cos(θ)

  y = r·sin(θ)

Substituting for sin(θ) the equation becomes ...

  r = 4sin(θ)

  r = 4(y/r)

  r^2 = 4y

Then, substituting for r^2 we get ...

  x^2 +y^2 = 4y . . . . . matches the first choice

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Nana76 [90]

Answer:

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Step-by-step explanation:

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Hope this helps.

8 0
3 years ago
Select the correct locations on the graph<br><br> select the lines that represent functions
SpyIntel [72]

Step-by-step explanation:

Using the vertical line test, we can see which lines are functions, and which are not. If a vertical line were to hypothetically appear, would it touch more than one part of the line? If so, it is not a function.

The lines outlined in a black box are the correct answers.

4 0
3 years ago
Read 2 more answers
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Eva8 [605]

Answer:

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4 0
3 years ago
A bacteria culture contains 1500 bacteria initially and doubles every hour. (a) Find a function N that models the number of bact
Tpy6a [65]

Answer: a) N(t)=1500(2)^t

b) 25165824000

Step-by-step explanation:

The exponential equation for growth is given by :-

y= ab^t , where a= initial value , b =multiplicative growth factor and t = time.

Given : A bacteria culture contains 1500 bacteria initially and doubles every hour.

i.e. a = 1500 and b= 2

Then, the function N that models the number of bacteria after t hours will be :

N(t)=1500(2)^t

To find , the number of bacteria after 24 hours , we put t= 24 in above equation , we get

N(24)=1500(2)^{24}\\\\=1500(16777216)=25165824000

Hence, the number of bacteria after 24 hours is 25165824000.

7 0
3 years ago
COEFFICIENTS AND VARIABLES! PLEASE SOLVE ALL ASAP! ANSWER = BRAINLIEST
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