There are 3 consecutive integers that sum to 51. What is the greatest integer of the three? O 17
O
19
O 18
O 20

C. 18

Step-by-step explanation:

Let's say the first number is x so the second will be x+1 and the third will be x+2

x+ x+1+x+2=51

3x+3=51

3x=51-3

3x=48

3x/3=48/3

X=16 this is the first number

The second number will be x+1=16+1=17

The third number will be x+2=16+2=18

So the greatest number will be 18

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

srry idk

step-by-step explanation: