All categories

3 years ago

Determine the eccentricity, the type of conic, and the directrix for r =2.1/1+0.7cod theta

Mathematics

1 answer:

ivolga24 [154]3 years ago

5 0

Answer:

<h2>The equation represents an ellipse with an eccentricity of 0.7.</h2>

Step-by-step explanation:

The given equation is

$r=\frac{2.1}{1+0.7cos\theta}$

This equations represents a conic section in polar form, where the coefficient of the cosine function is the eccentricity of the conic section.

So, in this case, the eccentricity is $e=0.7$ , which indicates that the equation belong to an ellipse, because the eccentricy of ellipses are between 0 and 1.

Therefore, the equation represents an ellipse with an eccentricity of 0.7.

You might be interested in

Can someone please answer this with steps

ivanzaharov [21]

1) Put all equations together and add them up to equal 180. Triangle's angles add up to 180°

EX) (x+10)+(3x-5)+x=180

2)Combine like terms.

EX) (5x+5)=180

3) Subtract 5 to both sides

EX) 5x=175

4) Divide both sides by 5.

EX) x=35

6 0

4 years ago

PLS HELP<br><br> How many solutions does this system of equations have?<br> y= -6x-7<br> y=-6x-7

Elis [28]

Answer:

They can have infineyely many solutions :)

5 0

3 years ago

Determine whether the given event is independent or dependent. Then find the probability. There are 3 literature books, 4 geogra

Ostrovityanka [42]

This is an independent event because picking on book at random has nothing to do with picking the next book at random. The probability is 1/7

8 0

3 years ago

What is the difference?

Ganezh [65]

Answer:

$\frac{x^2+4x-1}{x(x+2)}$

Step-by-step explanation:

Given

$\frac{x+5}{x+2}$ - $\frac{x+1}{x^2+2x}$ ← factor denominator

= $\frac{x+5}{x+2}$ - $\frac{x+1}{x(x+2)}$

We require the fractions to have a common denominator.

Multiply numerator/denominator of first fraction by x

= $\frac{x(x+5)}{x(x+2)}$ - $\frac{x+1}{x(x+2)}$

Subtract terms on numerator leaving the common denominator

= $\frac{x^2+5x-x-1}{x(x+2)}$

= $\frac{x^2+4x-1}{x(x+2)}$

7 0

3 years ago

A motorist travels 122 km before his first stop. If he had 10% of his journey to complete at this point, how long was the total

dimaraw [331]

Answer:

233km

Step-by-step explanation:

5 0

2 years ago

Determine the eccentricity, the type of conic, and the directrix for r =2.1/1+0.7cod theta​

Determine the eccentricity, the type of conic, and the directrix for r =2.1/1+0.7cod theta