Answer:
Step-by-step explanation:
Find the polar equation of the conic with the focus at the pole, directrix y = -6, and eccentricity 4 (picture provided)
1 answer:
Answer:
Choice B is correct
Step-by-step explanation:
The eccentricity of the conic section is given as 4 and thus the conic section is a hyperbola. Hyperbolas are the only conic sections with an eccentricity greater than 1.
Next, the directrix of this hyperbola is located at y = -6 implying that the hyperbola will be opening upwards. Consequently, the polar equation of this hyperbola will be of the form;
The value of k in the numerator is the product of eccentricity and the absolute value of the directrix;
k= 4*6 = 24
The polar equation is thus given by alternative B
You might be interested in
So for this, you'll be using the pythagorean theorem, which is . In this case, 10 and 24 are the legs, and AB is the hypotenuse. Our equation will be
Firstly, solve the exponents:
Next, combine 100 and 576:
And lastly, square root both sides to get
And in short, Line AB is 26 ft, or the first option.
Answer:
Step-by-step explanation:
Given
Required
Make t the subject
Cross Multiply
Collect Like Terms
Factorize:
Make t the subject