A direct variation is a mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other. In other words, a direct variation is where

.
In answer a,

, so it is a direct variation.
In answer c,

, so it is a direct variation.
In answer d,

, so it is a direct variation,
Only answer b is left, which means the answer must be 'b'.
We also know 'b' is the answer because it cannot be expressed as <span>

. Instead, it is expressed as </span>

, which is not the same thing and is therefore not a direct variation.
Hope I helped, and let me know if you have any questions :)
Answer: Center: (0,0)
Vertices: ( √3 , 0 ) , ( − √3 , 0 )
Foci: ( √6 , 0 ) , ( − √6 , 0 )
Eccentricity: √2
Focal Parameter: √6/2
Asymptotes: y = x , y = − x
How to: Rewrite in vertex form and use this form to find the vertex ( h , k ) .
Have a great day and stay safe !
Answer: 15
Step-by-step explanation: Good luck! :D
Answer:
The solution is g = 4
Step-by-step explanation:
* 6(-2g - 1) = -(13g + 2)
- We need to solve it to find the value of g
- Let us simplify each side and then solve the equation
∵ 6(-2g - 1) = (6)(-2g) - (6)(1)
∴ 6(-2g - 1) = -12g - 6
∴ The simplify of 6(-2g - 1) is -12g - 6 ⇒ (1)
∵ -(13g + 2) = -13g - 2
∴ The simplify of -(13g + 2) is -13g - 2 ⇒ (2)
- Equate (1) and (2)
∴ -12g - 6 = -13g - 2
- Add 13g to both sides
∴ g - 6 = - 2
- Add 6 to both sides
∴ g = 4
* The solution is g = 4
<span>2/3 + y - 4/5 = 1/3
y = 1/3 - 2/3 + 4/5
y = -1/3 + 4/5
y =-5/15 + 12/15
y = 7/15</span>