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Distribute to eliminate the parenthesis
x^2 + 2x + 6x + 12 = 60
Combine like terms
x^2 + 8x + 12 = 60
Subtract 60 from both sides
x^2 + 8x - 48 = 0
Factor the equation
(x+12)(x-4)=0
x+12=0
x+4=0
x= -12 and -4
The tangent function gives the ratio of vertical to horizontal distance in this case.
.. vertical distance = (horizontal distance)*tan(angle of depression)
.. = (40 m)*tan(50°)
.. vertical distance ≈ 47.7 m
Answer:
b. y=sec(x/3) and y=-1
Step-by-step explanation:
sec(x/3) + 4 > 2 − sec(x/3)
2 sec(x/3) > -2
sec(x/3) > -1
Graph y = sec(x/3) and y = -1.