1. x >= 4, because 4 is dotted, and that means that 4 is included
2. x =/ 4, the third answer is correct, because all numbers except 4 are included
3. the first number line is the correct answer, because -3 is not included
4. the second number line is the correct answer, because -1 is included
5. the second number line is the correct answer, because 6 is not included
6. the first number line is the correct answer, because 0 is included
7. the second number line is the correct answer, because all numbers except -4 are included
8. the third number line is the correct answer, because -1,5 is included
When a number is included in an interval, it should have full dot on the number line, so that's how you know.
Hope this helps!
Answer:
5x - 6 -3= 2x
Step-by-step explanation:
Answer:
<h3>perpendicular line:
y = -¹/₆
x + 4¹/₃
</h3><h3> parallel line:
y = 6x - 45
</h3>
Step-by-step explanation:
y=m₁x+b₁ ⊥ y=m₂x+b₂ ⇔ m₁×m₂ = -1
{Two lines are perpendicular if the product of theirs slopes is equal -1}
y = 6x - 7 ⇒ m₁=6
6×m₂ = -1 ⇒ m₂ = -¹/₆
The line y=-¹/₆
x+b passes through point (8, 3) so the equation:
3 = -¹/₆
×8 + b must be true
3 = -⁴/₃ + b
b = 4¹/₃
Therefore equation in slope-intercept form:
y = -¹/₆
x + 4¹/₃
y=m₁x+b₁ ║ y=m₂x+b₂ ⇔ m₁ = m₂
{Two lines are parallel if their slopes are equal}
y = 6x - 7 ⇒ m₁=6 ⇒ m₂=6
The line y=6x+b passes through point (8, 3) so the equation:
3 = 6×8 + b must be true
3 = 48 + b
b = -45
Therefore equation in slope-intercept form:
y = 6x - 45
Connect the dots to each other
