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PilotLPTM [1.2K]
3 years ago
12

Determine the eccentricity, the type of conic, and the directrix for r = 9/1+6 cos theta. (Picture Provided Below)

Mathematics
2 answers:
GalinKa [24]3 years ago
6 0

Answer:

Eccentricity = 6

Type of conic section; Hyperbola

Directrix; x = 3/2

Step-by-step explanation:

The given polar equation of the conic section is in standard form;

The eccentricity is given by the coefficient of cos theta in which case this would be the value 6. Therefore, the eccentricity of the this conic section is 6.

The eccentricity is clearly greater than 1, implying that the conic section is a Hyperbola.

Since the conic section is in standard form, the numerator is the product of eccentricity and the value of the directrix, that is;

e*d = 9

6*d = 9

d = 3/2.

Since the denominator has a plus sign then the hyperbola opens towards the left and thus the equation of its directrix is;

x = 3/2

wlad13 [49]3 years ago
6 0

Answer: Option D

Eccentricity = 6

Type of conic section; Hyperbola

Directrix; x = 3/2

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PLEASE I NEED YOUR HELP ​
Tcecarenko [31]

Answer:

<h2>D) - 9/7</h2>

Hope this will help you lot.

4 0
3 years ago
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6.8x+9.3 = -9.4+3,4(2-5x)<br> 6.8x+9.3 = -9.4+6.8 -17<br> 6.8x+9.3 = -2.6-17x
Advocard [28]

Answer:

x = -0.5

Step-by-step explanation:

From your last step:

6.8x + 9.3 = -2.6 - 17x

We have two terms with x in them on different sides of the equation, so we want to bring the 'x terms' over to the same side.

Add 17x to both sides of the equation.

6.8x + 17x + 9.3 = -2.6

Collect like terms

23.8x + 9.3 = -2.6

Subtract 9.3 from both sides

23.8x = -2.6 - 9.3

23.8x = -11.9

Divide both sides by 23.8

x = -0.5

7 0
3 years ago
Select all the values that cannot be probabilities a. 3/5b. 1c. -0.45d. 0.06e. 1.16f. 0g. 5/3h. √2
nikitadnepr [17]

Answer:

c,-0.45 ,

e. 1.16

g. 5/3

h. √2

Cannot be probability.

Step-by-step explanation:

Probability of any occurrence is always in the interval of 0 to 1. 0 and 1 inclusive.

0≤P(A)≤1

Any value outside this boundaries cannot be probability.

Therefore, -0.45,1.16,5/3 and √2 cannot be probability.

4 0
3 years ago
CAN SOMEONE PLS ANSWER THIS QUESTION FAST<br> I WILL MARK BRAINLIEST
Yakvenalex [24]

Answer:

B 5

Step-by-step explanation:

it is the same ratio as the red

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50 points!!! Need It ASAP
Alex17521 [72]

The last option :) Ask if explanation needed

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