Simplify the equations:
1.)6x+2(5x-2)
2.)7x+3(8+7)

1)  16x -4

2) 7x + 45

Step-by-step explanation:

1 ) 6x + 2(5x -2)

we are going to open the bracket

we have,

6x + 10x - 4

16x -4

4(4x - 1) simplified

number 2

7x + 3(8+7)

7x +24 + 21

7x + 45 simplified

so therefore the solution to the first and 2nd question is

1)  16x -4

2) 7x + 45

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

omg what happend to your question? if you could edit this question i can

step-by-step explanation: