<span>Since the paddock assumes a rectangular shape the area is 1/2 * b * h.
From Pythagorean AB^2 = BC^2 + AC^2
(3)^2 = (x + 0.4)^2 + x^2
9 = x^2 + 0.8x + 0.16 + x^2
So 2x^2 + 0.8x + 0.16 - 9 = 0
2x^2 +0.8x- 8.84 = 0
Using the quadratic formula
The solutions are 1.911 and -2.31
The area therefore is
area=1/2 * b * h
=1.91*2.31/2 = 2.21km²
1hectare = 0.01km²
2.21km^2 = 221ha</span>
So, the slope is 2 for each of the points. Now, you plug it into y=mx+bSo, you get, y=2x+b
To find b, you choose any pair of x and y values.-5=-22+bb=17
F(x) = |x + 2| - 3
0 = |x + 2| - 3
0 = x + 2 - 3
0 = x - 1
+ 1 + 1
1 = x
Domain: x > 1 and x < 1
Solution Set of the Domain: {x| 1 > x > 1} and {x|x 1 < x < 1} or (1, 1)
f(x) = |x + 2| - 3
f(x) = |0 + 2| - 3
f(x) = |2| - 3
f(x) = 2 - 3
f(x) = -1
Range: x ≤ 3
Solution Set of the Range: {x|x ≤ 3} or (-∞, 3]