Com oordon 9)
Consider the sequence of steps to solve the equation: 2(x – 4) + 6x = 9x – 10
Given = 2(x - 4) + 6x = 9x - 10
Step 1 = 2x - 8 + 6x = 9x - 10
Step 2 = 2x + 6x - 8 = 9x - 10
Step 3 = 8x - 8 = 9x - 10
Step 4 = 8x – 8x - 8 = 9x - 8x - 10
Step 5 = 0 - 8 = x - 10
Step 6 = -8 = x - 10
Step 7 = -8 + 10 = x - 10 + 10
Step 8 = 2 = x + 0
Step 9 = 2 = x
Which step in solving this equation is justified by the distributive property

Step 1

Step-by-step explanation:

The problem distributed 2 into x and -4 which resulted in 2x - 8

the answer is 96 degrees

step-by-step explanation:

you have to realize that a line equals 180 degrees

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