the function h(x) is given below. h(x) = {(3, –5), (5, –7), (6, –9), (10, –12), (12, –16)} which of the following gives h–1(x)?
a.{(3, 5), (5, 7), (6, 9), (10, 12), (12, 16)} b.{(–5, 3), (–7, 5), (–9, 6), (–12, 10), (–16, 12)} c.{(3, –5), (5, –7), (6, –9), (10, –12), (12, –16)} d.{(5, 3), (7, 5), (9, 6), (12, 10), (16, 12)}
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Answer:
Step-by-step explanation:
The window consists of a large square and 4 smaller triangles on the outside. The side length of this square is marked as 10, and therefore the area of this square is .
The area of a triangle is given by . Since the problem states that the overlapping squares are congruent, both legs of the triangle will be
and intersect at a
angle.
Thus, the sum of all four triangles is .
Therefore, the area of the window is: