The first step to solving this is to multiply both sides of the equation by 3
8 + 10y = 9y - 12
now move the variable to the left side and change its sign
8 + 10y - 9y = -12
move the constant to the right side and change its sign
10y - 9y = -12 - 8
collect the like terms for y
y = -12 - 8 (it equals 1 when you subtract 10 from 9 which is the same is simply saying "y")
calculate the difference on the other side of the equals sign
y = -20
this means that the correct answer to your question is -20.
let me know if you have any further questions
:)
Answer:
<u>______________________________________________________</u>
<u>TRIGONOMETRY IDENTITIES TO BE USED IN THE QUESTION :-</u>
For any right angled triangle with one angle α ,
or ![\sin(90 - \alpha ) = \cos\alpha](https://tex.z-dn.net/?f=%5Csin%2890%20-%20%5Calpha%20%29%20%3D%20%5Ccos%5Calpha)
or ![\sec(90 - \alpha ) = cosec\:\alpha](https://tex.z-dn.net/?f=%5Csec%2890%20-%20%5Calpha%20%29%20%3D%20cosec%5C%3A%5Calpha)
<u>SOME GENERAL TRIGNOMETRIC FORMULAS :-</u>
- <u></u>
or ![cosec \: \alpha = \frac{1}{\sin \alpha }](https://tex.z-dn.net/?f=cosec%20%5C%3A%20%5Calpha%20%20%3D%20%5Cfrac%7B1%7D%7B%5Csin%20%5Calpha%20%7D)
- <u></u>
or ![\sec \alpha = \frac{1}{\cos \alpha }](https://tex.z-dn.net/?f=%5Csec%20%5Calpha%20%3D%20%5Cfrac%7B1%7D%7B%5Ccos%20%5Calpha%20%7D)
<u>______________________________________________________</u>
Now , lets come to the question.
In a right angled triangle , let one angle be α (in place of theta) .
So , lets solve L.H.S.
![=> sin\alpha \times \sec\alpha](https://tex.z-dn.net/?f=%3D%3E%20sin%5Calpha%20%20%5Ctimes%20%5Csec%5Calpha)
![=> \sin\alpha \times \frac{1}{\cos\alpha }](https://tex.z-dn.net/?f=%3D%3E%20%5Csin%5Calpha%20%20%5Ctimes%20%5Cfrac%7B1%7D%7B%5Ccos%5Calpha%20%7D)
![=> \frac{\sin\alpha }{\cos\alpha }](https://tex.z-dn.net/?f=%3D%3E%20%5Cfrac%7B%5Csin%5Calpha%20%7D%7B%5Ccos%5Calpha%20%7D)
= R.H.S.
∴ L.H.S. = R.H.S. (Proved)
Answer:
The correct option is B.
Step-by-step explanation:
It is given that the surface area of an oil spill gets 131% larger every day, represented by the function
Where x is number of days.
On the first day, it covered an area of 21 square meters. It means the initial area is 21 square meters.
The function is defined as
Where is initial value and b is growth factor.
It means the function of new area is the product of initial area and increasing area function. The required function is
Therefore option B is correct.
Since the y coordinate is the same for both points we only need to know the change in the x coordinates to find the distance between these two points.
5--12=17
So these two points are 17 units apart.