PLEASE ANSWER QUICKLY 50 POINTS!
Parallelogram JKLM and the image of JKLM are graphed on the coordinate grid below.

On a coordinate plane, parallelogram J K L M has points (negative 2, 0), (negative 2, negative 3), (negative 4, negative 2), (negative 4, 1). Parallelogram J prime K prime L prime M prime has points (2, 0), (2, 3), (4, 2), (4, negative 1).

Which statements describe the rotation about the origin that transformed JKLM to J’K’L’M’? Check all that apply.
counterclockwise rotation
clockwise rotation
90° rotation
45° rotation
180° rotation

Explanation:

Parallelogram JKLM:

Parallelogram J'K'L'M':

From inspection of the coordinates, you can tell that the signs of both x-coordinates and y-coordinates are changed, while the magnitues are kept. Thus, the algebraic rule for this transformation is:

That is the rule for a 180º rotation.

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

the f

last graph i believe

step-by-step explanation:

worked it out i believe