Drag each expression to show whether it is equivalent to 54x + 18, 18(3x – 1), or (6 • 9x) + (6 • 1). expressions: a-54x b-(6 • 9x) + (6 • 3) c-54x + 6 d-3(18x+2) e-18(3x+1) f-(9**2)

Answer with explanation:

1.We have to find equivalent expression of ⇒ 54 x+18

These are the equivalent expression of

=3×3×3×2× x+3×3×2

=3×3×2×(3 x+1)

=18×(3 x+1)

2.⇒Equivalent expression of→ 18×(3 x-1)

=18× 3 x -18[Using commutative property of Multiplication with respect to subtraction)

=54 x-18

3.⇒Equivalent expression of→6×9 x+ 6×1

                  =54 x +6

⇒Option B

6×9 x +6×3equivalent expression of →54 x+18

⇒Option C

54 x+6equivalent expression of →6×9 x+ 6×1

⇒Option D

3×(18 x+2)equivalent expression of →6×9 x+ 6×1

⇒Option F

9×6 x -9×2equivalent expression of → 18×(3 x-1)

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

can someone answer this question plz

step-by-step explanation: