Answer:
Option B
Step-by-step explanation:
Not a unique triangle—the 10 cm side can be any of the three sides.
Answer:
These have no solution:
- 2x < x+1 and x+1 > 3
- 3x -5 > 1 and x < 2
Step-by-step explanation:
1. 2x < x+1
x < 1 . . . . . subtract x
__
x + 1 > 3
x > 2 . . . . subtract x
No solution: x cannot be both > 2 and < 1.
_____
2. 3(x +2) > x
3x + 6 > x . . . . eliminate parentheses
2x + 6 > 0 . . . subtract x
x + 3 > 0 . . . . . divide by 2
x > 0
Solution: 0 < x < 2
_____
3. 5x ≥ 10
x ≥ 2 . . . . . divide by 5
__
2x ≤ 4
x ≤ 2 . . . . . divide by 2
Solution: 2 ≤ x ≤ 2 . . . . x = 2
_____
4. 3x -5 > 1
3x > 6 . . . . . . . add 5
x > 2 . . . . . . . . divide by 3
No solution: x cannot be both < 2 and > 2.
2. All real numbers greater than 0
Answer:
y = -
x - ![\frac{8}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B9%7D)
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c
Rearrange 3x + 18y = - 16 into this form
Subtract 3x from both sides
18y = - 3x - 16 ( divide all terms by 18 )
y = -
x -
, that is
y = -
x -
← in slope- intercept form
-2.1-6x=1.5 add 2.1 to both sides
-6x=3.6 now divide both sides by -6
X= -.6