3x < -6
x < -6/3
x < -2
Therefore, the solution set is {x | x < -2}.
We turn -5,12 into polar coordinates. It's a Pythagorean Triple so
r = 13 Ф=arctan(-12/5) + 180° ( in the second quadrant )
so -5 = 13 cos Ф, 12 = 13 sin Ф
12 sin x - 5 cos x = 6.5
13 sinФ sin x + 13 cos Ф cos x = 6.5
13 cos(x - Ф) = 6.5
cos(x - Ф) = 1/2
cos(x - Ф) = cos 60°
x - Ф = ± 60° + 360° k integer k
x = Ф ± 60° + 360° k
x = 180° + arctan(-12/5) ± 60° + 360° k
That's the exact answer;
x ≈ 180° - 67.38° ± 60° + 360° k
x ≈ 122.62° ± 60° + 360° k
x ≈ { 62.62°, 182.62°} + 360° k, integer k
Answer:
x=12.36 or 12 9/25 or 309/25
Step-by-step explanation:
1. 9/15 and 10/15
2. 7/9 and 6/9
3. 16/24 and 3/24
4. 3/12 and 8/12
5. 25/30 and 18/30
Answ(0,2)
By putting x 0 and y 2
Step-by-step explanation:
