PLS HELP WILL MAKE FIRST RIGHT ANSWER GETS BRAINLIEST

E, D and E

Step-by-step explanation:

(28)

The equation of a line passing through the origin is

y = mx ( m is the slope )

Calculate the slope using the slope formula

m =

with (x₁, y₁ ) = A (- 2, 3) and (x₂, y₂ ) = B (2, - 3) ← 2 points on the line

m = = = = -

y = - x → E

(29)

Using the slope formula

with (x₁, y₁ ) = A (- 2, -4) and (x₂, y₂ ) = B (0, 4) ← 2 points on the line

m = = = = 4 → D

(30)

(x + 2)(x + 4)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x + 4) + 2(x + 4) ← distribute both parenthesis

= x² + 4x + 2x + 8 ← collect like terms

= x² + 6x + 8 → E

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

2500

step-by-step explanation: