Answer:
a. The polygon is a square of sides 5.7 units
b. The vertices are : (0,5) ,(4,1) ,(-4,1) ,(0,-3)
c. 32 unit square
Step-by-step explanation:
The system of inequalities are given as;
i) y ≥ |x|-3
ii) y ≤ -|x|+5
a) The graph is as shown attached below. The polygon is a square of sides 5.7 units
b) The vertices are : (0,5) ,(4,1) ,(-4,1) ,(0,-3)
c) The area is : l² = 5.7² = 32 unit square
Green Line:
This is a horizontal line at x = 0, so it would be:
x ? 0
Since the shaded area is going to the left of 0 (this means x is negative):
x ≤ 0
Blue Line:
The shaded area is below the line, so:
y ≤ mx + b
When x = 0, y is -5.
y ≤ mx - 5
From each point, you go up 3 units, and to the right 4 units, so the slope is .