Setting x = 0 in the equation gives y = 3, so the y-intercept is 3.

To find the x-intercept, set y = 0: 3x = 12, thus x = 4, giving the point (4, 0).

To find the y-intercept, set x = 0: 3(0) - 4y = 12, which gives y = -3.

To find the y-intercept, set x = 0 in the equation, resulting in y = -4. Thus, the y-intercept is 5.

To find the x-intercept, set y = 0. Solving gives x = 2, so the intersection point is (2, 0).

Setting y to 0 in the equation gives x = 2, so the intersection with the x-axis is (2, 0).

Setting x = 0 in the equation gives y = -5, so the y-intercept is -5.

The lines intersect if the discriminant D = b^2 - 4ac > 0.

The sum of the slopes of the lines can be found using the relation -b/a, which gives -3.

Using the formula for the angle between two lines, we can derive the coefficient of xy that satisfies the angle condition.

The product of the slopes of the lines can be found from the equation. Here, the product of the slopes is given by -c/a, where c is the coefficient of xy and a is the coefficient of x^2.

For the lines to be perpendicular, the condition 4 - 4(3)(2) = 0 must hold, leading to k = 0.

The product of the slopes of the lines represented by ax^2 + bxy + cy^2 = 0 is given by c/a. Here, c = 2 and a = 3, so the product is 2/3.

The lines are coincident when the determinant of the coefficients is zero, leading to k = 0.

The nature of the intersection can be determined by the slopes, which indicate that the angle is obtuse.

The angle can be found using the formula tan(θ) = |(m1 - m2) / (1 + m1*m2)|, where m1 and m2 are the slopes derived from the equation.

The sum of the slopes of the lines is given by -b/a, which is 0 in this case.

The nature of the roots can be determined by the discriminant of the quadratic equation.

The lines are not perpendicular as the condition for perpendicularity is not satisfied.

The condition for the lines to be real and distinct is that the discriminant D must be greater than 0.

For the lines to be perpendicular, the condition a + b = 0 must hold.

For the lines to be coincident, the constant term must be zero.

10% of 543 = 0.10 * 543 = 54.3, rounding down gives 54 members.

Number of women members = 20% of 545 = 0.20 * 545 = 109. Therefore, approximately 110.

If the magnetic field around a closed loop is constant, the current through the loop must also be constant according to Ampere's Law.

In a uniform magnetic field, the magnetic field lines are straight and parallel.

The force experienced by a current-carrying conductor in a magnetic field is directly proportional to the magnetic field strength. Therefore, if the magnetic field strength is doubled, the force also doubles.

The force experienced by a current-carrying conductor in a magnetic field is directly proportional to the magnetic field strength. Therefore, if the magnetic field strength is doubled, the force also doubles.

The force on a charged particle is directly proportional to the magnetic field strength, so if the magnetic field strength is doubled, the force also doubles.

The force on a current-carrying conductor is directly proportional to the magnetic field strength, so if the magnetic field strength is doubled, the force also doubles.