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
Answer: 10 ft
Explanation
As two right triangles (a triangle with a 90º angle) are formed, to know the distance between AB we have to calculate BC, AC and subtract.
0. Calculating BC
We have a 30º angle and an adjacent side 5√3ft (as the hypotenuse is the side opposite to the 90º angle). Thus, using the tangent function where:
we can find the opposite side, which is BC. Replacing the values and simplifying we get:
Thus, the segment BC measures 5ft.
<em>2. Calculating segment AC</em>.
In this case, our hypotenuse changes. However, we are still looking for the opposite side. Using the tangent function as before we get:
<em>3. Calculating the distance between A and B</em>
