Answer:
y=-2x+4
Step-by-step explanation:
we use the formula for the line and substitute what we already know, which is that the y-intercept is (0,4):
y=mx+4
then, you use the formula for slope:
Δy/Δx
(4-0)/(0-2)
4/-2
-2
you substitute the slope into the equation and the answer:
y=-2x+4
Hope this helps :)
P.S: m is the variable for the slope
Answer:
30 / 34 and 15/17 simplified.
Step-by-step explanation:
cos = adjacent / hypotenuse
adjacent is the (base) which is 30 and hypotenuse is the longest side which is 34
Answer:
4th one is correct for x/y
Yes because if you find common denominators (in this case, "10") you would have to compare 8/10 to 5/10. 8>5 so 8/10 is longer than 1/2.
Answer: the distance of the boat from the foot of the lighthouse is 290.5 feet.
Step-by-step explanation:
The right angle triangle ABC representing the scenario is shown in the attached photo.
Angle A is alternate to the angle of depression, hence, they are the same.
The height of the lighthouse represents the opposite side of the right angle triangle. The distance, x of the boat from the foot of the lighthouse represents the adjacent side of the right angle triangle.
To determine x, we would apply
the tangent trigonometric ratio.
Tan θ, = opposite side/adjacent side. Therefore,
Tan 11.1 = 57/x
x = 57/Tan 11.1 = 57/0.1962
x = 290.5 feet to the nearest tenth.