Answer:
X= 7/5
Step-by-step explanation:
Let's solve your equation step-by-step.
12x−15=6−3x
Step 1: Simplify both sides of the equation.
12x−15=6−3x
12x+−15=6+−3x
12x−15=−3x+6
Step 2: Add 3x to both sides.
12x−15+3x=−3x+6+3x
15x−15=6
Step 3: Add 15 to both sides.
15x−15+15=6+15
15x=21
Step 4: Divide both sides by 15.
15x
/15
=
21
/15
X= 7/5
D. 50 cents a can, Sorry if i dont help
LHS ⇒ RHS:
Identities:
[1] cos(2A) = 2cos²(A) - 1 = 1 - 2sin²(A)
[2] sin(2A) = 2sin(A)cos(A)
[3] sin(A + B) = sin(A)cos(B) + cos(A)sin(B)
[4] cos(A + B) = cos(A)cos(B) - sin(A)sin(B)
cos(x) - cos(x + 2Θ)
= cos(x) - (cos(x)cos(2Θ) - sin(x)sin(2Θ)) [4]
= cos(x) - cos(x)(1 - 2sin²(Θ)) + sin(x)(2sin(Θ)cos(Θ)) [1] [2]
= cos(x) - cos(x) + 2sin²(Θ)cos(x) + 2sin(Θ)sin(x)cos(Θ)
= 2sin²(Θ)cos(x) + 2sin(Θ)sin(x)cos(Θ)
= 2sin(Θ)(sin(Θ)cos(x) + sin(x)cos(Θ))
= 2sin(Θ)sin(x + Θ)
99/110
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