Answer:
![(x,y) = (-1,0)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%3D%20%28-1%2C0%29)
Step-by-step explanation:
Given
![(x+1)^2 = -8(y-2)](https://tex.z-dn.net/?f=%28x%2B1%29%5E2%20%3D%20-8%28y-2%29)
Required
The coordinates of the focus
First, write the expression in form of: ![y=a(x-h)^2+k](https://tex.z-dn.net/?f=y%3Da%28x-h%29%5E2%2Bk)
![(x+1)^2 = -8(y-2)](https://tex.z-dn.net/?f=%28x%2B1%29%5E2%20%3D%20-8%28y-2%29)
![(x+1)^2 = -8y + 16](https://tex.z-dn.net/?f=%28x%2B1%29%5E2%20%3D%20-8y%20%2B%2016)
![-8y + 16 = (x+1)^2](https://tex.z-dn.net/?f=-8y%20%2B%2016%20%3D%20%28x%2B1%29%5E2)
Subtract 16 from both sides
![-8y = (x+1)^2 - 16](https://tex.z-dn.net/?f=-8y%20%3D%20%28x%2B1%29%5E2%20-%2016)
Divide through by -8
![y = -\frac{1}{8}(x+1)^2 - \frac{16}{-8}](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B1%7D%7B8%7D%28x%2B1%29%5E2%20-%20%5Cfrac%7B16%7D%7B-8%7D)
![y = -\frac{1}{8}(x+1)^2 +2](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B1%7D%7B8%7D%28x%2B1%29%5E2%20%2B2)
In this case:
![a = -\frac{1}{8}](https://tex.z-dn.net/?f=a%20%3D%20-%5Cfrac%7B1%7D%7B8%7D)
![h = -1](https://tex.z-dn.net/?f=h%20%3D%20-1)
![k = 2](https://tex.z-dn.net/?f=k%20%3D%202)
The focus of the parabola is:
![(x,y) = (h,k + \frac{1}{4a})](https://tex.z-dn.net/?f=%28x%2Cy%29%20%3D%20%28h%2Ck%20%2B%20%5Cfrac%7B1%7D%7B4a%7D%29)
This gives:
![(x,y) = (-1,2 + \frac{1}{4*-\frac{1}{8}})](https://tex.z-dn.net/?f=%28x%2Cy%29%20%3D%20%28-1%2C2%20%2B%20%5Cfrac%7B1%7D%7B4%2A-%5Cfrac%7B1%7D%7B8%7D%7D%29)
![(x,y) = (-1,2 + \frac{1}{-\frac{1}{2}})](https://tex.z-dn.net/?f=%28x%2Cy%29%20%3D%20%28-1%2C2%20%2B%20%5Cfrac%7B1%7D%7B-%5Cfrac%7B1%7D%7B2%7D%7D%29)
![(x,y) = (-1,2 -2)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%3D%20%28-1%2C2%20%20-2%29)
![(x,y) = (-1,0)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%3D%20%28-1%2C0%29)
Answer:
-1/5
Step-by-step explanation:
reciprocal and stuff
<span>A line segment is described as a fixed distance along a line. This is because a line segment has a definitive start point and an end point, and it falls along one line.</span>
If I know how many runs he scores in 1 season, I can certainly tell you how many he can in 5 seasons, by multiplying that 1 seasons runs by 5.
Answer:
The system of equation y=120+20x and y=30x
Step-by-step explanation:
Let the number of days be x and y be the total number minutes
Jamie has walked 120 mins. She will walk at a rate of 20 mins per day.
y=120+20x
Owen walks 30 mins a day. So
y = 30x
To learn more about Linear Equations visit brainly.com/question/1884491
#SPJ4