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Flura [38]
2 years ago
11

A curve in polar coordinates is given by: r=9+3cosθ. Point P is at θ=21π/18 .?

Mathematics
1 answer:
ikadub [295]2 years ago
6 0

Answer:

Step-by-step explanation:

Given that a curve in polar coordinates is given by:

r=9+3cosθ

a) At point P, we have

θ=\frac{21\pi}{18}

Substitute to get

r=9+cos \frac{21\pi}{18}\\=9.3932

b) Cartesian coordinate is

x= rcos \theta=3.6934\\y =r sin \tjeta =8.6365

c) At the origin r =0

when r =0

we have

9+3cos\theta=0\\cos\theta =-3

Since cos cannot take values as -3 it doe snot pass through origin.

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The answer is c because S=Ph+2b
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3 years ago
-3y + 8x = 36<br> 6x + y = -21
tiny-mole [99]

Answer:

x=−27/26

and y=−192/13

Step-by-step explanation:

6x+y=−21;8x−3y=36

Step: Solve6x+y=−21for y:

6x+y=−21

6x+y+−6x=−21+−6x(Add -6x to both sides)

y=−6x−21

Step: Substitute−6x−21foryin8x−3y=36:

8x−3y=36

8x−3(−6x−21)=36

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26x+63+−63=36+−63(Add -63 to both sides)

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(Divide both sides by 26)

7 0
2 years ago
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podryga [215]
Distributive proeprty
wait
combein elike terms
4(1m+3+5m)=4(5m+1m+3)=4(6m+3)

if we distribute
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4(6m+3)=4(6m)+4(3)=24m+12




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3 0
2 years ago
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Sveta_85 [38]

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(-4,14)

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Step-by-step explanation:

5 0
3 years ago
Simplify the expression. Write the answer using scientific notation. 0.3(8.2 x 10^-3)
olchik [2.2K]

Answer:

0.3(8.2 x 10^-3) = 2.46 X 10 ^ -3

Step-by-step explanation:

We need to solve the equation 0.3(8.2 x 10^-3) and write answer in scientific notation.

Solving,

= 0.3(8.2 x 10^-3)

= 0.3 * 0.0082

= 0.00246

Writing in scientific notation

= 2.46 X 10 ^ -3

So, after solving the expression 0.3(8.2 x 10^-3) the result is 2.46 X 10 ^ -3.

8 0
2 years ago
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