Which graph accurately indicates the region, shaded in green, that would determine the solution for
2 answers:
Answer:
Second graph
Step-by-step explanation:
Given inequality,
| x + 7 | - 2 ≥ 0
| x + 7 | ≥ 2
x + 7 ≥ ± 2
x ≥ -7 ± 2
⇒ x ≥ -7 + 2 or x ≥ -7 - 2
⇒ x ≥ -5 or x ≥ -9,
Thus, in the shaded region x ≥ -5 or x ≥ -9,
In the given graphs, the shaded region represents by green,
In the first graph, green line lies in the region -9 ≤ x ≤ -5
Thus, it can not be the graph of the given inequality,
In the second graph, green line lies in the region x ≥ -5 or x ≥ -9
Hence, second graph would be the answer.
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Answer:
The equation of the line L is
Step-by-step explanation:
we know that
The line y=7
Is a horizontal line (parallel line to the x-axis)
The slope of a horizontal line is equal to zero
A line L perpendicular to the given line must be a vertical line (parallel to the y-axis)
The slope of the line L is undefined
The line L passes through the point (2,-5)
therefore
The equation of the line L will be equal to the x-coordinate of the given point