Four ratios:
light to dark: 4:12
dark to light: 12:4
black to white: 2:4
white to gray: 4:10
gray to white: 10:4
any of those work.
Answer:
2y-x=6
Step-by-step explanation:
Standard form is ax+by=c.
Slope form : y=mx+n where m is slope n-y intercept.
First we write in slope form
![y=\frac{1}{2}x+3](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B2%7Dx%2B3)
Now we can multiply both sides by 2.
2y=x+6
Subtract for each side x
2y-x=6
The answer is the √26 and -√26. Look at the picture for explanation.
Answer:
Option (1)
Step-by-step explanation:
Given equation is,
![2^x=1-3^x](https://tex.z-dn.net/?f=2%5Ex%3D1-3%5Ex)
To determine the solution of the equation we will substitute the values of 'x' given in the options,
Option (1)
For x = -0.75
![2^{-0.75}=1-3^{-0.75}](https://tex.z-dn.net/?f=2%5E%7B-0.75%7D%3D1-3%5E%7B-0.75%7D)
0.59 = 1 - 0.44
0.59 = 0.56
Since, values on both the sides are approximately same.
Therefore, x = -0.75 will be the answer.
Option (2)
For x = -1.25
![2^{-1.25}=1-3^{-1.25}](https://tex.z-dn.net/?f=2%5E%7B-1.25%7D%3D1-3%5E%7B-1.25%7D)
0.42 = 1 - 0.25
0.42 = 0.75
Which is not true.
Therefore, x = -1.25 is not the answer.
Option (3)
For x = 0.75
![2^{0.75}=1-3^{0.75}](https://tex.z-dn.net/?f=2%5E%7B0.75%7D%3D1-3%5E%7B0.75%7D)
1.68 = 1 - 2.28
1.68 = -1.28
Which is not true.
Therefore, x = 0.75 is not the answer.
Option (4)
For x = 1.25
![2^{1.25}=1-3^{1.25}](https://tex.z-dn.net/?f=2%5E%7B1.25%7D%3D1-3%5E%7B1.25%7D)
2.38 = 1 - 3.95
2.38 = -2.95
It's not true.
Therefore, x = 1.25 is not the answer.