See attachment for the graph of the set (−∞, 0) ∪ [2, 8]
<h3>How to graph the set on a number line?</h3>
The set is given as:
(−∞, 0) ∪ [2, 8]
The above means that the numbers inclusive in the set are:
- (−∞, 0): All real numbers less than 0
- [2, 8]: All real numbers between 2 and 8 (inclusive)
This means that there will be a gap on the number line between 0 and 2 and from 8 till positive infinity
Having done the above illustration, next we plot the set on a number line
See attachment for the graph of the set (−∞, 0) ∪ [2, 8]
Read more about number lines at:
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Isocoleese means that 2 sides and hence 2 angles are same measure
acute means that all 3 angles are less than 90 degrees
We can rule out choice I since acut means less than 90
II is a possibility, but it doesn't best describe it
III. that is true, but it doesn't include the isocileese part
IV. that is true, but doesn't include the acute part
not sure, either III or IV
Answer:
x=6
Step-by-step explanation:
Given the x-intercepts of a parabola: 
The equation of symmetry at the parabola's vertex is x=h
Where 
In this case,

Therefore, the line of symmetry of the parabola is x=6 and is also the x-coordinate of the parabola's vertex.
Answer:
x = -1/3
Step-by-step explanation:
We have,
sin(x + 7) = cos(4x + 8)
We need to find the value of x.
We know that,
sin(90-x) = cosx
So,
sin(90-(x + 7)) = cos(4x + 8)
cos(x+7) = cos(4x + 8)
i.e.
(X+7) = (4x+8)
7-8 = 4x-x
-1 = 3x
x = -1/3