Answer:
The picture shows the answer on the graph
Step-by-step explanation:
-2=-3/4×(x-6)
Distribute -3/4 through the parenthesis
-2= -3/4x+9/2
Multiply both sides of the equation by 4
-8=-3x+18
Move the variable to the left side and change its sign
3x-8=18
Move constant to the right side and change its sign
3x=18+8
Add the numbers
3x=26
Divide both sides of the equation by 3
x=26/3
Alternative Form- x=8 2/3 or x=8.6
Answer:
x ∈ {2π/3, π, 4π/3} ≈ {2.09440, 3.14159, 4.18879}
Step-by-step explanation:
The equation can be put into standard form by adding 1:
2cos²(x) +3cos(x) +1 = 0
(2cos(x) +1)(cos(x) +1) = 0
Values of cos(x) that make this true* are ...
cos(x) = -1/2 . . . . . . . . . true for x=2π/3, x=4π/3
cos(x) = -1 . . . . . . . . . . . true for x=π
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A graphing calculator can be helpful here, too.
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* from your knowledge of the short table of trig functions and their signs in different quadrants
