Consider the following expression. 3x+8y+5 Select all of the true statements below.
1 answer:
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Answer:
D: {(-5, -4, 2, 2, 5)}
R: {(-6, 3, 4, 1, 5)}
The relation is NOT a function.
Step-by-step explanation:
By definition:
A relation is any set of ordered pairs, which can be thought of as (input, output).
A function is a <em><u>relation</u></em> in which no two ordered pairs have the same first component (domain/input/x value) and different second components (range/output/y value).
Looking at the given points in your graph, and in listing down the domain and range, we can infer that the relation is not a function because there is an x-value (2) that has two corresponding y-values: (2, 4) (2, 1).
Another way to tell if a given set of points in a graph represents a function by doing the "Vertical line test." The graph of an equation represents y as a function of x if and only if no vertical line intersects the graph more than once. Looking at the attached image, I drew a vertical line over points (2, 4) (2, 1). The vertical line intersects the two points, which fails the vertical line test. This is an indication that the given relation is not a function.
First we join the two endpoints of the semicircle and that will be the diameter.
And to find the length of the diameter, we have to use distance formula, with one endpoint (3,2) and the other is (-4,-2) .
SO we get
Radius is half of diameter, so the radius is
Formula of area of circle is
So the area of semicircle is
And the other figure is a triangle, with
Therefore, total area is the sum of area of semicircle and area of triangle,
And we will get
Correct option is the third option .