Find the distance from the line to the given point. y = (1/6)x + 6, (-6, 5)

Find the distance between the pair of parallel lines with the given equations. y = (-5/4)x + 3.5 4y + 10.6 = -5x

Find the distance between the pair of parallel lines with the given equations. y = (1/4)x + 2 4y - x = -60

Find the distance from P to l. Line l contains points (0, -3) and (7, 4). Point P has coordinates (4, 3).

Find the distance from P to l. Line l contains points (4, -1) and (4, 9). Point P has coordinates (1, 6).

Find the distance between each pair of parallel lines with the given equations. y = 7 y = -3

Find the distance from P to L. Line e contains points (11, - 1) and (-3, -11). Point P has coordinates (-1, 1).

Find the distance from P to l. Line l contains points (1, 5) and (4, -4). Point P has coordinates (-1, 1).

Find the distance between the pair of parallel lines with the given equations.

y = 3x

y = 3x + 10

Find the distance from P to l. Line l contains points (-8, 1) and (3, 1). Point P has coordinates (-2, 4).

Find the distance between a pair of parallel lines with the given equations. y = -2x + 4 y = -2x + 14

Determine whether the following statement is sometimes, always, or never true. Explain. The distance between a line and a plane can be found.

The thin lens equation in physics is

$$\frac { 1 } { s } + \frac { 1 } { S } = \frac { 1 } { f }$$

where s is the object distance from the lens, S is the image distance from the lens, and f is the focal length of the lens. Suppose that a certain lens has a focal length of 6 cm and that an object is moving toward the lens at the rate of 2 cm/s. How fast is the image distance changing at the instant when the object is 10 cm from the lens? Is the image moving away from the lens or toward the lens?

A music store is offering a Frequent Buyers Club membership. The membership costs $22 per year, and then a member can buy CDs at a reduced price. If a member buys 17 CDs in one year, the cost is$111.25. Write a linear equation to represent the total cost y of a one year membership, if x CDs are purchased.