Answer:
r = 6.4/(1+sin(θ))
Step-by-step explanation:
As the attachment shows, for the given directrix and eccentricity, the equation is ...

8 because the line is going up by 1 as seen from 4 and 6
Answer:
This means our slope is equal to
.
Step-by-step explanation:
Your ordered pairs are:
(-4, -4) and (0, 2)
To solve for the slope, we must use slope formula.

Substitute:

Solve:

This means our slope is equal to
.
Hope this helped. :)
Answer:
The fundamental theorem of algebra guarantees that a polynomial equation has the same number of complex roots as its degree.
Step-by-step explanation:
The fundamental theorem of algebra guarantees that a polynomial equation has the same number of complex roots as its degree.
We have to find the roots of this given equation.
If a quadratic equation is of the form 
Its roots are
and 
Here the given equation is
= 0
a = 2
b = -4
c = -1
If the roots are
, then
= 
= 
= 
= 
= 
= 
These are the two roots of the equation.