The sum of two numbers is 51 and the greater number is twice the smaller number. Find the numbers. a) set up the variables
Let represent the first number Then will represent the second number.
b) What is the equation that represents the above situation? c) Solve the equation.

34 and 17

Step-by-step explanation:

x+y=51

2y=x

2y+y=51

3y=51

y=17

2(17)=x

x=34

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

5 x 14?

im new, sorry if this is wrong.

step-by-step explanation: