Which shows a perfect square trinomial? a.50y^2-4x^2 b.100-36x^2y^2 c.16x^2+24xy+9y^2 d.49x^2-70xy+10y^2

Choice C is correct:  16x^2 + 24xy + 9y^2

Step-by-step explanation:

The easiest way to tell these is that if the parenthesis are exactly the same it will be a perfect square trinomial.

(4x + 3y) (4x + 3y)

16x^2 + 12xy + 12xy + 9y^2

16x^2 + 24xy + 9y^2

The answer is c

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