Correct answer only !

enter the equations of the asymptotes for the function f(x) .

f(x) = −2/x + 4 − 6

 V.A.: x = -4,    H.A: y = -6

Step-by-step explanation:

Vertical Asymptote is the restriction on "x".  Since the denominator cannot be equal to zero, then x + 4 ≠ 0  ⇒  x ≠  -4. So, the vertical asymptote is at x = 4.

Horizontal Asymptote is the restriction on "y".  This is determined by the degree of the numerator compared to the degree of the denominator.  In the given problem, the degree of the numerator is less than the degree of the denominator so the horizontal asymptote is y = 0.  However, there is also a negative 6 after the rational expression so the horizontal asymptote is: y = 0 - 6  ⇒   y = -6

20

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