Answer:
x=4 z=117
Step-by-step explanation:
Answer:
a and b are positive
Step-by-step explanation:
We are given that
We have to find that a and b are positive or negative.
We have
It means b is positive and greater than 4.
Adding 3 on both sides
Hence, a is positive and greater than 4.
Therefore, a and b are positive
lets draw a picture of our hexagon:
then, we can rotate 60 degrees counterclockwise (or clockwise) and get the same hexagon. So, the answer is 60 degrees
Answer:
y=2.5
Step-by-step explanation:
2y-6=-1
add 6 to negative 1 so that the 2y is all by itself
2y=5
divide 5 by 2
y=2.5
Answer:
x = - 6 or x = 2
Step-by-step explanation:
The absolute value function always returns a positive value. However, the expression inside can be positive or negative.
Given
| 2x + 4 | - 1 = 7 ( add 1 to both sides )
| 2x + 4 | = 8, thus
2x + 4 = 8 ( subtract 4 from both sides )
2x = 4 ( divide both sides by 2 )
x = 2
OR
-(2x + 4) = 8
- 2x - 4 = 8 ( add 4 to both sides )
- 2x = 12 ( divide both sides by - 2 )
x = - 6
As a check
Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.
x = 2 → | 4 + 4 | - 1 = | 8 | - 1 = 8 - 1 = 7 ← True
x = - 6 → | - 12 + 4 | - 1 = | - 8 | - 1 = 8 - 1 = 7 ← True
Hence the solutions are x = - 6 or x = 2
