Suppose y varies directly as x, and y = 14 when x = -4 . what is the value of y when x = -6

y = 21

Step-by-step explanation:

direct variation

y= kx

14 = k(-4)

solve for k

-14/4 = k

-7/2 =k

y = -7/2 x

now substitute in x= -6

y = -7/2 * -6

y = 7/2 *6

y = 21

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