The condition for the lines to be parallel is given by h^2 = ab.

The lines are coincident if the discriminant D of the quadratic equation is zero.

The condition for parallel lines is that the determinant of the coefficients must be zero.

Two lines are parallel if their coefficients of x and y are proportional, which means c1 must equal c2.

Two lines are parallel if their slopes are equal, i.e., m1 = m2.

Two lines are perpendicular if the product of their slopes m1 and m2 is -1.

The conjugate of z = 2 + 5i is z̅ = 2 - 5i.

The conjugate of z = 5 - 2i is 5 + 2i.

The conjugate of z = 5 - 6i is 5 + 6i.

The conversion factor from kilometers to meters is 1000, as 1 kilometer equals 1000 meters.

1 kilometer is approximately equal to 0.621 miles.

The coordination number is determined by the number of ligands attached to the central metal ion. In [Co(NH3)6]Cl3, there are six NH3 ligands, so the coordination number is 6.

The coordination number of the central metal ion (Co) in [Co(NH3)6]Cl3 is 6.

The result should be rounded to 3 significant figures, giving 5.5.

6.022 has 4 significant figures, so the result retains that count.

In scientific notation, 0.000123 is expressed as 1.23 x 10^-4, maintaining 3 significant figures.

In scientific notation, 0.000123 is expressed as 1.23 x 10^-4.

In scientific notation, all non-zero digits are significant. Therefore, 0.0001234 can be expressed as 1.234 x 10^-4, maintaining all significant figures.

In scientific notation, all digits in the coefficient are significant. Therefore, 0.000345 is expressed as 3.45 x 10^-4, which has 3 significant figures.

In scientific notation, 0.000450 is expressed as 4.50 x 10^-4, maintaining three significant figures.

Critical angle θc = sin^(-1)(1/n) = sin^(-1)(1/1.5) = 41.81 degrees, approximately 60 degrees.

Critical angle (C) is given by sin(C) = n2/n1. Thus, sin(C) = 1/1.5, C = sin^(-1)(0.6667) ≈ 41.8 degrees.

The critical angle (θc) can be calculated using sin(θc) = n2/n1. Thus, sin(θc) = 1/1.33, giving θc ≈ 53.1 degrees.

The critical angle θ_c can be calculated using sin(θ_c) = n2/n1 = 1.00/1.33, which gives θ_c ≈ 48.6 degrees.

The critical angle θ_c can be calculated using sin(θ_c) = n2/n1 = 1/1.33, which gives θ_c ≈ 48.6 degrees.

The critical angle (θc) can be calculated using sin(θc) = 1/n. Here, n = 1.5, so θc = sin^(-1)(1/1.5) ≈ 41.81 degrees, which is approximately 42 degrees.

The critical angle (θc) can be calculated using sin(θc) = 1/n. For n = 1.5, sin(θc) = 1/1.5 = 2/3. Therefore, θc = sin^(-1)(2/3) which is approximately 41.81 degrees, closest to 45 degrees.

The critical angle θc can be calculated using sin(θc) = n2/n1 = 1.00/1.33, which gives θc ≈ 48.6 degrees.

The critical angle θc is given by sin(θc) = n2/n1. Thus, θc = sin^(-1)(1/1.5) ≈ 41.8 degrees.

The critical angle (θc) can be calculated using sin(θc) = n2/n1. Here, n1 = 1.33 (water) and n2 = 1 (air). Thus, sin(θc) = 1/1.33, giving θc ≈ 53.1 degrees.