Answer:
x = - 5, x = - 1
Step-by-step explanation:
Given
- 3 | 2x + 6 | = - 12 ( divide both sides by - 3 )
| 2x + 6 | = 4
The absolute value always returns a positive value, but the expression inside can be positive or negative, that is
2x + 6 = 4 ( subtract 6 from both sides )
2x = - 2 ( divide both sides by 2 )
x = - 1
OR
- (2x + 6) = 4 ← distribute left side
- 2x - 6 = 4 ( add 6 to both sides )
- 2x = 10 ( divide both sides by - 2 )
x = - 5
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 = - 1 → - 3| - 2 + 6 | = - 3 | 4 | = - 3 × 4 = - 12 ← True
x = - 5 → - 3 | - 10 + 6 | = - 3 | - 4 | = - 3 × 4 = - 12 ← True
Thus x = - 5 and x = - 1 are the solutions
<h3>
Answer: (4,2)</h3>
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The given points are T(3,1) and U(5,3)
The x coordinates of these given points are 3 and 5. Add them up to get 3+5 = 8. Then cut this in half getting 8/2 = 4. This is the x coordinate of the midpoint.
The y coordinates are 1 and 3. They add to 1+3 = 4. Then that cuts in half to get 4/2 = 2. This is the y coordinate of the midpoint.
The midpoint is (4,2)
Effectively, we just used the midpoint formula

In short: add the corresponding coordinates, then divide by 2.
<span>The zero of a function is a value of x that makes the value of function equal to zero. </span>
Answer:
1 = 61
4 = 119
Step-by-step explanation:
Alternate angles
The answer of this question is 4