open circle means less than or greater than (NO EQUALS)
line to the left means less than
x< 2
Choice A
closed circle means less than or equal to or greater than or equal to
line to the left means less than
x<=-4.25
Choice B
3(x-1)2+3(y+3)=243
3(x-1)2+3y+9=243
3(x2-1)+3y+9=243
3x2-3+3y+9=243
32+3y-3+9=243
32+3y=243+3-9
3y(y+1)=237
![\sin(x-y)=\sin x\cos y-\sin y\cos x](https://tex.z-dn.net/?f=%5Csin%28x-y%29%3D%5Csin%20x%5Ccos%20y-%5Csin%20y%5Ccos%20x)
Since
![\cos x=\dfrac8{17}](https://tex.z-dn.net/?f=%5Ccos%20x%3D%5Cdfrac8%7B17%7D)
, you have
![\sin x=\sqrt{1-\cos^2x}=\sqrt{1-\left(\dfrac8{17}\right)^2}=\dfrac{15}{17}](https://tex.z-dn.net/?f=%5Csin%20x%3D%5Csqrt%7B1-%5Ccos%5E2x%7D%3D%5Csqrt%7B1-%5Cleft%28%5Cdfrac8%7B17%7D%5Cright%29%5E2%7D%3D%5Cdfrac%7B15%7D%7B17%7D)
and since
![\cos y=\dfrac35](https://tex.z-dn.net/?f=%5Ccos%20y%3D%5Cdfrac35)
, you have
![\sin y=\sqrt{1-\cos^2y}=\sqrt{1-\left(\dfrac35\right)^2}=\dfrac45](https://tex.z-dn.net/?f=%5Csin%20y%3D%5Csqrt%7B1-%5Ccos%5E2y%7D%3D%5Csqrt%7B1-%5Cleft%28%5Cdfrac35%5Cright%29%5E2%7D%3D%5Cdfrac45)
So,
![\sin(x-y)=\dfrac{15}{17}\times\dfrac35-\dfrac45\times\dfrac8{17}=\dfrac{13}{85}](https://tex.z-dn.net/?f=%5Csin%28x-y%29%3D%5Cdfrac%7B15%7D%7B17%7D%5Ctimes%5Cdfrac35-%5Cdfrac45%5Ctimes%5Cdfrac8%7B17%7D%3D%5Cdfrac%7B13%7D%7B85%7D)
Note that this assumes that both
![\sin x](https://tex.z-dn.net/?f=%5Csin%20x)
and
![\sin y](https://tex.z-dn.net/?f=%5Csin%20y)
are positive, or
![0](https://tex.z-dn.net/?f=0%3Cx%3C%5Cpi)
.
Answer:
A.−3h+(−10)+2+(−12h)
Hey mate hope its help you....
Answer: Um, the answer is B, and C?
Step-by-step explanation: