Answer:
The answer to your question is below
Step-by-step explanation:
a) Find to points of the line and find the equation of the line.
A ( 0, -4) B (2, 0)
slope = m =
m = 2
Line equation
(y - y1) = m (x - x1)
(y - 0) = 2(x - 2)
y = 2x - 4
Write the line as an inequality
y ≥ 2x - 4
b) Yes, (2,0) is a solution of the inequality
y ≥ 2x - 4
0 ≥ 2(2) -4
0 ≥ 4 - 4
0 ≥ 0 This is true
c) No, (4, -2) is not a solution.
y ≥ 2x - 4
-2 ≥ 2(4) - 4
-2 ≥ 8 - 4
-2 ≥ 4 This is false
Using it's concept, the approximate perimeter of pentagon ABCDE is given as follows:
34.4 units.
<h3>What is the perimeter of a figure?</h3>The perimeter of a figure is given by the sum of the lengths of it's outside dimensions.
In this problem, the vertices are in a coordinate-plane, hence the distances are found using the formula for the distance between two points.
<h3>What is the distance between two points?</h3>Suppose that we have two points, and
. The distance between them is given by:
The length of segment AB is:
The length of segment BC is:
The length of segment CD is:
The length of segment DE is:
The length of segment EA is:
Hence the perimeter is:
P = AB + BC + CD + DE + EA = 9.2 + 5 + 6 + 5 + 9.2 = 34.4 units.
More can be learned about the perimeter of a figure at brainly.com/question/18610622
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