Given the trinomial, what is the value of the coefficient b in the factored form? 2x2 + 4xy − 48y2 = 2(x + by)(x − 4y) −12 12 −6 6

B is 6.

Step-by-step explanation:

We are trying to find a value for such that:

is true for every .

So let's choose :

Divide both sides by -8:

Note: I didn't want to choose y to be 0 because the value of B would disappear from the equation. So you should be able to have chosen any x and y except for y=0 to solve the equation for B.

Check:

So let's check and use foil to multiply out the right hand side.

There was a 2 in front of that multplicapltiation:

This is exactly what we have on the left hand side of your given equation.

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2

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step-by-step explanation: