8+4p+2q+r=0
27+9p+3q+r=0
64+16p+4q+r=0
P=-9
Q=26
R=-24
Step-by-step explanation:
plot the points
0,0
1,3
2,6
3,9
if anything else is needed inform me.
We know that
Limacons are in the form
r=a(+-)b*sin (theta) or r=a(+-)b*cos (theta)
in this problem
r=a(+-)b*sin (theta)
so
is symmetric to y axis
a=1/2
b=1/2
a/b=1---------> Cardioid (hearth shaped)
see the attached figure
the answer is the option
<span>
A. Cardioid </span>
The quadrants the point (4.-8) is in is the fourth quadrants
Answer:
D
Step-by-step explanation:
So we have the equation:

And we want to solve for x.
We can solve it by completing the square.
First, subtract 58 from both sides:

Divide the b term by 2 and square it:

So, add 9 to both sides:

On the left, the perfect square trinomial pattern. Add on the right. So:

Take the square root of both sides:

The square root of -49 is 7i:

Add 3 to both sides:

So, our answer is D.
And we're done!