Find the area of the polygon defined by the coordinates (4, -1), (-1, 4), (11, 16), and (16, 11).

120 square units

Step-by-step explanation:

There are a number of ways to do this. I found it convenient to let a graphing program calculate the area to be 120 square units.

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If you look at the rectangle (with sides parallel to the x- and y-axes) that encloses the figure, you see it is 17 units high and wide. The white space to the upper left and lower right together constitute a square 12 units on a side. Likewise, the white space to the upper right and lower left together comprise a square 5 units on a side. Then the shaded area is ...

17^2 - 12^2 - 5^2 = 289 -144 - 25 = 120 . . . . square units

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You can also use the Pythagorean theorem to find the length of the short side is 5√2 and the length of the long side is 12√2. Then the product of these lengths is the area:

(5√2)(12√2) = 5·12·2 = 120 . . . . square units

cosine

step-by-step explanation:

(0,,,0)

step-by-step explanation:

the table of x and y values is shown in the attached pic(part of question)

we have to decide according that graph

given points are (0, 0) (–1, 0), (2, 0)

when we graph these points on graph they show an increasing line as shown in the attached pic