The slopes of two perpendicular lines are negative reciprocals of each other. The slope of the line perpendicular to the one in this question is -3.
B: -(x^2) reflects over the x-axis and +3 shifts it up by 3
I assume that the question for this one is
<span>"What Relation Is a Doorstep to a Doormat?"
The correct answer for this question is that the doorstep's relation to a doormat is disjoint exclusive. The doorstep can still be there without the doormat; and the doormat can exist without the doorstep. So, we can say that they are disjoint.</span>
Answer:
![(x+8)^{2} +(y+3)^{2}=4](https://tex.z-dn.net/?f=%28x%2B8%29%5E%7B2%7D%20%2B%28y%2B3%29%5E%7B2%7D%3D4)
Step-by-step explanation:
we know that
The equation of the circle in center radius form is equal to
![(x-h)^{2} +(y-k)^{2}=r^{2}](https://tex.z-dn.net/?f=%28x-h%29%5E%7B2%7D%20%2B%28y-k%29%5E%7B2%7D%3Dr%5E%7B2%7D)
where
(h,k) is the center of the circle
r is the radius
In this problem we have
![(h,k)=(-8,-3)](https://tex.z-dn.net/?f=%28h%2Ck%29%3D%28-8%2C-3%29)
![r=2\ units](https://tex.z-dn.net/?f=r%3D2%5C%20units)
substitute
![(x+8)^{2} +(y+3)^{2}=2^{2}](https://tex.z-dn.net/?f=%28x%2B8%29%5E%7B2%7D%20%2B%28y%2B3%29%5E%7B2%7D%3D2%5E%7B2%7D)
![(x+8)^{2} +(y+3)^{2}=4](https://tex.z-dn.net/?f=%28x%2B8%29%5E%7B2%7D%20%2B%28y%2B3%29%5E%7B2%7D%3D4)