Using the factoring process, what constant is added to the right side of the quadratic equation 2x2− 5x + = 12 + in order to solve by completing the square?
(remember, this is a two step process.)

a. -5/4

b. 5/2

c. 25

d. 25/8

Acyclist bike x distance at 10 miles per hour .and returns over the same path at 8 miles per hour.what is the cyclist average rate for the round trip in miles per hour ?

Statement reason 1. δabc is similar to δced. given 2. 3. definition of slope 4. slope of slope of definition of slope 5. slope of × slope of multiplying the slopes 6. slope of × slope of substitution property of equality 7. slope of × slope of simplifying the right side the table contains the proof of the relationship between the slopes of two perpendicular lines. what is the reason for statement 2? a. parallel line segments that meet a common perpendicular line are proportional in length. b. the lengths of vertical and horizontal sides in congruent triangles are in a common ratio. c. trigonometric identities determine the lengths of the legs in a right triangle. d. corresponding side lengths in similar triangles are proportional in length.

Construct a box plot to represent the ages of the actors in a play. step 1: arrange the numbers in order from lowest (on the left) to highest. 24 18 30 26 24 33 32 44 25 28