Parallel lines are lines that share the same slope (steepness) and therefore never intersect. A transversal occurs when a set of parallel lines are crossed by another line. All of the angles formed by a transversal are called interior angles and angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°) and are called corresponding angles. Alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°) and all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other. Same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°).

A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r²h and the surface area is 2(π r²) + 2π rh.

To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.

You need to find the value of b so solve the first equation in terms of z:

-6b + z = -4
z = -4 + 6b

then substitute the result (-4 - -6b) into the second equation:

-6b - 1(-4 + 6b) = -5
-6b + (-1 x -4) + (-1 x 6b) = -5
-6b + 4 - 6b = -5
-6b - 6b = -5 - 4
-12b = -9
b = \( \frac{-9}{-12} \)
b = \(\frac{3}{4}\)

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses.