A slope formula is a number that describes both the direction and the steepness of the line.
Answer:
The length of the rope between the boat and the dock is of 30 feet.
Step-by-step explanation:
Given:
tan(40) ≈ 0.839
Angle of depression = 40 (deg)
Distance between boat and the floor of the ocean = 25.17 feet
If we look into the diagram we can see that,they form 2 right angled triangle.
Where we can say that :
Distance between boat and dock = Rope's distance = Base of the triangle.
Let the length of the rope be 'x' feet.
Considering the dotted triangle:
⇒
⇒
⇒
⇒
⇒
⇒
Length of the rope between the boat and the dock is 'x' = 30 feet.
4x = y
2x^2 - y = 0
2x^2 - 4x = 0
2x(x - 2) = 0
2x = 0 or x - 2 = 0
x = 0 or x = 2
y = 4(0) or y = 4(2)
y = 0 or y = 8
Therefore, solution set is {(0, 0), (2, 8)}
Y=2x-3 rise over run and then the y intercept
Answer:
y = 1/3 x.
Step-by-step explanation:
The slope of the given line is
(4 - (-2) / 2 - 4)
= -3.
So the slope of the line perpendicular to it = -1 / (-3) = 1/3.
This line also passes through the point (3, 1) so its equation is ( by the point-slope form):
y - 1 = 1/3(x - 3)
y - 1 = 1/3x - 1
y = 1/3 x (answer).
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