Answer:
Step-by-step explanation:
3x-2y= 100
3x= 10 +2y
x =(10+2y)/
Answer: 2
Step-by-step explanation:
(x1,y1) = (-1,0)
(x2,y2) = (3,8)
m = (8–0)/(3-(-1))
m = 8/(3+1)
m = 8/4
m = 2
Answer:
The value of ABC is 6.
Step-by-step explanation:
Consider the expression
![\frac{1+\sqrt{3}}{1-\sqrt{3}}](https://tex.z-dn.net/?f=%5Cfrac%7B1%2B%5Csqrt%7B3%7D%7D%7B1-%5Csqrt%7B3%7D%7D)
Rationalize the denominator.
![\frac{1+\sqrt{3}}{1-\sqrt{3}}\times \frac{1+\sqrt{3}}{1+\sqrt{3}}](https://tex.z-dn.net/?f=%5Cfrac%7B1%2B%5Csqrt%7B3%7D%7D%7B1-%5Csqrt%7B3%7D%7D%5Ctimes%20%5Cfrac%7B1%2B%5Csqrt%7B3%7D%7D%7B1%2B%5Csqrt%7B3%7D%7D)
![\frac{(1+\sqrt{3})^2}{1^2-(\sqrt{3})^2}](https://tex.z-dn.net/?f=%5Cfrac%7B%281%2B%5Csqrt%7B3%7D%29%5E2%7D%7B1%5E2-%28%5Csqrt%7B3%7D%29%5E2%7D)
![\frac{1^2+(\sqrt{3})^2+2\sqrt{3}}{1-3}](https://tex.z-dn.net/?f=%5Cfrac%7B1%5E2%2B%28%5Csqrt%7B3%7D%29%5E2%2B2%5Csqrt%7B3%7D%7D%7B1-3%7D)
![\frac{1+3+2\sqrt{3}}{-2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%2B3%2B2%5Csqrt%7B3%7D%7D%7B-2%7D)
![\frac{4+2\sqrt{3}}{-2}](https://tex.z-dn.net/?f=%5Cfrac%7B4%2B2%5Csqrt%7B3%7D%7D%7B-2%7D)
![\frac{4}{-2}+\frac{2\sqrt{3}}{-2}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B-2%7D%2B%5Cfrac%7B2%5Csqrt%7B3%7D%7D%7B-2%7D)
..... (1)
The answer in the form
.... (2)
On comparing (1) and (2), we get
![A=-2,B=-1,C=3](https://tex.z-dn.net/?f=A%3D-2%2CB%3D-1%2CC%3D3)
We need to find the value of ABC.
![ABC=(-2)(-1)(3)=6](https://tex.z-dn.net/?f=ABC%3D%28-2%29%28-1%29%283%29%3D6)
Therefore the value of ABC is 6.