Answer:
Four consecutive integers are represented by: x, x+1, x+2, x+3 Their sum is 4x+6 4x+6 = 90
Step-by-step explanation:
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Answer: x < 
<u>Step-by-step explanation:</u>


2(6)x - 10(12) < 10(2) - 5(3)x
12x - 120 < 20 - 15x
<u> +15x </u> <u> +15x </u>
27x - 120 < 20
<u> +120 </u> <u>+120</u>
27x < 140

x < 
A=-2;b=9;c=9;
delta=b^2-4*a*c
root1=(-b+(delta^(0.5)))/(2*a)
<span>root2=(-b-(delta^(0.5)))/(2*a)
delta =153
root1 = -0.8423
root2 =<span> 5.3423
Correct Answer is D</span></span>
Answer:
We have to prove
sin(α+β)-sin(α-β)=2 cos α sin β
We will take the left hand side to prove it equal to right hand side
So,
=sin(α+β)-sin(α-β) Eqn 1
We will use the following identities:
sin(α+β)=sin α cos β+cos α sin β
and
sin(α-β)=sin α cos β-cos α sin β
Putting the identities in eqn 1
=sin(α+β)-sin(α-β)
=[ sin α cos β+cos α sin β ]-[sin α cos β-cos α sin β ]
=sin α cos β+cos α sin β- sinα cos β+cos α sin β
sinα cosβ will be cancelled.
=cos α sin β+ cos α sin β
=2 cos α sin β
Hence,
sin(α+β)-sin(α-β)=2 cos α sin β