WILL GIVE BRAINLEST 100Pts!!! ANSWER ALL QUESTIONS!

A. Write the algebraic expressions representing the length and with of Marlene's house.

B. Write the algebraic expression representing the perimeter of Marlene's house in simplest form

C. If the perimeter is 142 feet, find the value of x.

B

Step-by-step explanation:

hi <3

a) the length would be: 2x + 2 + 1/2x - 4 + x - 2

simplified the length would be: 3.5x - 4

the width would be: x + x - 2

simplified the width would be: 2x - 2

b) the perimeter would be: 3.5x - 4 + 2x - 10 + x - 2 + 1/2x - 4 + x - 2 + 2x - 2 + 2x - 2

simplified this would be: 11x - 26

c) 11x - 26 = 142

add 26 to both sides:

11x = 168

divide both sides by 11:

x = 15.27

hope this helps :)

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