Find the coordinates of the vertices of each figure after the given transformation and graph the new image.

2) Find the value of each variable. I 2x+11 6x-9 a) x = b) x 3 W (6y-2) (4x + 20) Y.

A billiards table is 8 feet by 4 feet, and has pockets in all four corners and in the middle of the two longer sides; we can visualize this as a rectangle in R2 and assume that the bottom left pocket is at the origin and the top right pocket is at (8, 4). A ball starts at the point (1, 2) and is hit in the direction ⟨5, −2⟩. Does the ball go into a pocket before it bounces off three walls and, if so, which one?

Differentiate: a) y=x + x2 + 2 b) y=x-x +9

Q1: Determine the coordinates of point N (zero, ?, ?) located on the line AB where: A(-4,5,6) B (1,4,3)

Write in standard form

Please help me. Thank you

ii) Find the dot product of the vector a in part (i) with the displacement vector AB such that A=(1,-6,7), and B=(2,1,3).

Locate (1/3)v +(1/3)u and (2/3)v + (2/3)w. The combination of cv + cw fill out what line?

12. Expand and simplify. (5x + 3y)² - (4x + y) (6y - x) 13. The formula V = nr³h represents the volume of a cylinder. Identify the variables and constant(s) in this formula. a) b) c) d) Which variable(s) in the formula V = nr³h would you need to set as a constant to generate i) a linear equation and ii) a quadratic equation? How should r and h be related to generate a cubic equation? Determine the radius of a cylinder with volume 600 cm³ and height 10 cm.