Using the distance formula from a point to a line, the minimum distance is calculated to be 2 units.

The minimum energy required is equal to the work function, which is 2 eV.

The minimum energy required to remove an electron is equal to the work function of the metal, which is 2.5 eV.

The minimum energy required to remove an electron is equal to the work function of the metal, which is 2.5 eV.

For constructive interference in a soap bubble, the minimum thickness should be λ/4, accounting for the phase change upon reflection.

The vertex occurs at x = 2. f(2) = 3(2^2) - 12(2) + 12 = 0.

The vertex occurs at x = 2. f(2) = -5.

The vertex occurs at x = 2. f(2) = 3(2^2) - 12(2) + 9 = 0.

The vertex form gives the minimum at x = 2. f(2) = 2.

The vertex occurs at x = 2. f(2) = 2.

The vertex form gives the minimum at x = 2. f(2) = 2, thus minimum value is 3.

The vertex form gives the minimum at x = 3. f(3) = 3^2 - 6(3) + 10 = 1.

The vertex gives the minimum at x = 2. f(2) = 4(2^2) - 16(2) + 20 = 4.

The vertex occurs at x = 2. f(2) = 4(2^2) - 16(2) + 20 = 4.

The modulus is calculated as √(3^2 + 4^2) = √(9 + 16) = √25 = 5.

Molality (m) = moles of solute / kg of solvent = 10 moles / 5 kg = 2 m.

The molar mass of water is calculated as follows: H (1 g/mol) x 2 + O (16 g/mol) = 2 + 16 = 18 g/mol.

Molarity (M) = moles of solute / liters of solution = 5 moles / 2 L = 2.5 M.

Molarity (M) = moles of solute / liters of solution. Moles of NaCl = 58.5 g / 58.5 g/mol = 1 mol. Therefore, M = 1 mol / 1 L = 1 M.

Molarity (M) = moles of solute / liters of solution. Moles of NaCl = 5 g / 58.5 g/mol = 0.0855 moles. Volume of solution = 250 mL = 0.250 L. M = 0.0855 moles / 0.250 L = 0.342 M, approximately 0.34 M.

The molecular formula of Benzoic acid is C7H6O2.

The molecular formula of butan-2-one is C4H8O.

The molecular formula of butanoic acid is C4H8O2.

The molecular formula of formaldehyde is CH2O.

Glucose is a simple sugar with the molecular formula C6H12O6.

Glucose is a simple sugar with the molecular formula C6H12O6.

Momentum (p) = mass × velocity = 3 kg × 4 m/s = 12 kg·m/s.

Polyethylene is made from the polymerization of ethylene monomers.

The monomer of polystyrene is styrene, which polymerizes to form polystyrene.

The discriminant D = 2² - 4*1*5 = 4 - 20 = -16, which indicates complex roots.