Answer:
y=2x-5
Step-by-step explanation:
First simplify: y-1=2x-6
y-1=2(x-3)
First simplify and distribute everything.
<u>y-1=2x-6</u>
So, x equals 2 because it got distributed into the numbers inside the parenthesis. Same with the 2 and -3. They multiplied to become -6.
Since it's y-1=2x-6, you can simplify it even more so the -1 goes to the other side and turns into positive 1.
<u>y - 1 (+ 1) = 2x -6 (+ 1)</u>
-1(+1)=0 which leaves just the variable y on the <em><u>left side</u></em>.
-6(+1)=-5 which leaves 2x-5 on the <em><u>right side</u></em>.
This results in y=2x-5. Hope this helped ;)
Answer:
14√2 feet
Step-by-step explanation:
The length of a diagonal of a square is 
where 
is the side length of the square. Therefore, 
.
Option 2
The solution for - 3 | 2x + 6 | = - 12 is x = −1 and x = −5
<u>Solution:</u>
Given, equation is -3 | 2x + 6 | = - 12
We have to solve for the value of x and choose the correct options from given set of options.
Now, let us take the equation
- 3 | 2x + 6 | = - 12
3 | 2x + 6 | = 12
| 2x + 6 | = 4
2x + 6 = ± 4 [ since mod converts to ± by shifting to other side of the equation]
2x + 6 = 4 or 2x + 6 = -4
2x = 4 – 6 or 2x = - 4 – 6
2x = -2 or 2x = - 10
x = -1 or x = -5
Hence, values of x are -1 and -5, so option 2 is correct
