Coordinates of N are (-55, 6)
Answer:
4 months
Step-by-step explanation:
Given
Studio A
![Membership = \$22.00](https://tex.z-dn.net/?f=Membership%20%3D%20%5C%2422.00)
![Monthly = \$24.50](https://tex.z-dn.net/?f=Monthly%20%3D%20%5C%2424.50)
Studio B
![Membership = \$47.00](https://tex.z-dn.net/?f=Membership%20%3D%20%5C%2447.00)
![Monthly = \$18.25](https://tex.z-dn.net/?f=Monthly%20%3D%20%5C%2418.25)
Required
Determine when the cost will be the same
For both, we have the total cost to be:
![Cost = Membership + Monthly\ Cost * m](https://tex.z-dn.net/?f=Cost%20%3D%20Membership%20%2B%20Monthly%5C%20Cost%20%2A%20m)
<em>Where m represents the number of month</em>
For Studio A:
![Cost = 22 + 24.5 * m](https://tex.z-dn.net/?f=Cost%20%3D%2022%20%2B%2024.5%20%2A%20m)
For Studio B:
![Cost = 47 + 18.25 * m](https://tex.z-dn.net/?f=Cost%20%3D%2047%20%2B%2018.25%20%2A%20m)
Equate both expressions to get the required month
![47 + 18.25 * m = 22 + 24.5 * m](https://tex.z-dn.net/?f=47%20%2B%2018.25%20%2A%20m%20%3D%2022%20%2B%2024.5%20%2A%20m)
![47 + 18.25 m = 22 + 24.5m](https://tex.z-dn.net/?f=47%20%2B%2018.25%20m%20%3D%2022%20%2B%2024.5m)
Collect Like Terms
![47 - 22 = 24.5m - 18.25 m](https://tex.z-dn.net/?f=47%20-%2022%20%3D%2024.5m%20-%2018.25%20m)
![25= 6.25m](https://tex.z-dn.net/?f=25%3D%206.25m)
Reorder
![6.25m = 25](https://tex.z-dn.net/?f=6.25m%20%3D%2025)
Solve for m
![m = 25/6.25](https://tex.z-dn.net/?f=m%20%3D%2025%2F6.25)
![m = 4](https://tex.z-dn.net/?f=m%20%3D%204)
<em>Hence, it'll take 4 months</em>
parallel: g(x) = -5/3x + 1
perpendicular: h(x) = 3/5x - 5
neither: j(x) = 2x + 3
I hope this helps you
9.8.7.6.5!/5!
9.8.7.6
Answer:
He bought 3 jumbo packs and 4 hobby packs.
Step-by-step explanation: