Simplify 4(3x -2y) + 3 (4x - 3y)

24x-17y

Step-by-step explanation:

12x-8y+12x-9y

please mark branliest

24x−17y

Step-by-step explanation:

4(3x−2y)+3(4x−3y)

Distribute:

=(4)(3x)+(4)(−2y)+(3)(4x)+(3)(−3y)

=12x+−8y+12x+−9y

Combine Like Terms:

=12x+−8y+12x+−9y

=(12x+12x)+(−8y+−9y)

=24x+−17y

=24x−17y

a) false; the points do not have to be in a straight line.

step-by-step explanation:

the points could be in the shape of a triangle

b is incorrect

c is incorrect because it is saying the immediately don't form one when they are capable of doing so

d is incorrect

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