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Answer:
Last option: 4
Step-by-step explanation:
The quadratic equation simplified:
has the form:

In this case, you can identify that "a", "b" and "c" are:

To solve this quadratic equation by completing the square, Carlos should add
to both sides of the equation. This is:

Then:
Therefore you can observe that the number he should add to both sides of the equation is: 4
To find the perpendicular line, we need to find the negative inverse slope.
y = -1/2x - 2
This line also passes through the point since both have the y intercept / value of -2.
Hope this helps!