2x+4(2x+7)=3(2x+4)
What is x

x = -4

Step-by-step explanation:

2x+4(2x+7)=3(2x+4)

Distribute

2x+8x + 28 = 6x +12

Combine like terms

10x +28 = 6x +12

Subtract 6x from each side

10-6x+28 = 6x +12 -6x

4x +28 = 12

Subtract 28 from each side

4x+28-28 = 12-28

4x = -16

Divide each side by 4

4x/4 = -16/4

x = -4

x = -4

Step-by-step explanation:

2x+4(2x+7)=3(2x+4)

2x + 8x + 28 = 6x + 12

10x + 28 = 6x + 12

4x = -16

x = -4

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

                  = 2×(-2)+(-8)×(6)+(-8)×(-5)

                  = -4-48+40

                  = -12

hence, v.w= -12

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step-by-step explanation: