3x-2 is a factor of 6x3-4x2+kx-k

Step-by-step explanation:

Let

f

(

x

)

=

x

3

−

6

x

2

+

k

x

+

10

If

(

x

+

2

)

is a factor

Then,

f

(

−

2

)

=

0

f

(

−

2

)

=

−

8

−

24

−

2

k

+

10

=

0

2

k

=

−

22

k

=

−

11

i really dont know

step-by-step explanation:

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this