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
82
The sum of the three angles is 180. One is given and the other we can figure out because it forms a straight line (180) with the angle to the left outside. The outside angle is 117, so 180-117 is 63.
So then add up the 3 angles in the triangle
63+35+y=180
y= 82
Answer:
x = 99
Step-by-step explanation:
<u>Step 1: Solve for x</u>
-12 + x/11 + 12 = -3 + 12
x/11 * 11 = 9 * 11
x = 99
Answer: x = 99
Answer:
Step-by-step explanation:
Given is a function
Average slope of this function is change of f(x) in (-2,6)/change of x in (-2,6)
= 
By mean value theorem there exists a c such that f'(c) = -18
i.e. 
Using quadratic formula
x = 2.61, -1.277
Out of these only 2.61 lies in the given interval
c = 2.61
The answer is: Perpendicular, because both equations intersects or cross over each other. There is an attached photo
