Evaluate 0.65 x 280 - 2/9 of 513
1 answer:
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Answer:
x = π/3, x = 5π/3, x = 4π/3
Step-by-step explanation:
Let's split the given equation (2cosx-1)(2sinx+√3 ) = 0 into two parts, and solve each separately. These parts would be 2cos(x) - 1 = 0, and 2sin(x) + √3 = 0.
Remember that the general solutions for cos(x) = 1/2 are x = π/3 + 2πn and x = 5π/3 + 2πn. In this case we are given the interval 0 ≤ x ≤2π, and therefore x = π/3, and x = 5π/3.
Similarly:
The general solutions for sin(x) = - √3/2 are x = 4π/3 + 2πn and x = 5π/3 + 2πn. Therefore x = 4π/3 and x = 5π/3 in this case.
So we have x = π/3, x = 5π/3, and x = 4π/3 as our solutions.
Answer:
y ≤ 2x -2 Option C.
Step-by-step explanation:
Equation of the dotted line which passes through (3,0) and (0,8) will be
y = mx+C
m = = -1
and C = 3
So equation will be y = x + 3
But shaded blue part is above the dotted line so inequality will be y> -x +3
Equation of the second solid line which passes through ( 0,-2) and (1,0) will be
y = mx + C
m = =
= 2
and C = -2
So equation of the line will be y = 2x - 2
But shaded yellow part is below the solid line.
So inequality will be
y ≤ 2x -2
Option C. is the answer.