Answer:
x∈[2nπ−5π/6, 2nπ−π/6]∪{(4n+1)π/2}, n ϵ I
Step-by-step explanation:
1−2sin2 x≤−sin x ⇒ (2sin x+1)(sin x−1)≥0
sin x≤−1/2 or sin x≥1
−5π/6+2nπ≤x≤−π/6+2nπ or , n ϵ I x=(4n+1)π/2, n ϵ I⇒ -5π6+2nπ≤x≤-π6+2nπ or , n ϵ I x=4n+1π2, n ϵ I (as sin x = 1 is valid only)
In general⇒ In general x∈[2nπ−5π/6, 2nπ−π/6]∪{(4n+1)π/2}, n ϵ I
Step-by-step explanation:
there are three phases here
in the first phase, the swimmer moved at a constant acceleration, at the second, there was no acceleration since there wasn't any decrease in speed, the third, it's actually deceleration, but it's still constant
The GCF of 120 and 220 Is 20 :) Its is 20 because both numbers are divisional by 20 Hope this helped and thank u
Answer:

Step-by-step explanation:
Given
Horizontal Line

Required
Determine the equation
The equation is calculated using:

Where

Because the line is a horizontal line, then:

Substitute 0 for m and values for x1 and y1 in 



Subtract 2 from both sides


Hence, the equation is: 
Answer:




Step-by-step explanation:
We need to match the slope of the function with the slope of the lines connecting the two points given. The slope of the lines are as follows:






Now,
the slope of the line BC matches with the slope of y=-3.5x-15.
the slope of the line DE matches with the slope of y=-0.5x-3.
the slope of the line HI matches with the slope of y=1.25x+4.
the slope of the line LM matches with the slope of y=5x+9.
and the slopes of the lines FG and JK do not match with any of the functions given.
Thus,



