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Answer:
Step-by-step explanation:
The function that we have to study in this problem is
The domain of a function is defined as the set of all the possible values of x that the function can take.
For a square-root function, there are some limitations to the possible value of the argument in the root.
In particular, the argument of a square root must be equal or greater than zero, because the square root of a negative number is not defined.
Therefore, in this case, we have to set the following condition for the domain:
And by solving, we get
which means that the domain of this function is all real numbers equal or greater than 5.
In the figure, we can consider that the base is the side that mesures 12 in and that the height is the side that measures 15 in, since that sides are perpendicular. So, we just need to use the given formula:
Hence, the area of the triangle is 90 in² (B).
