If x2 - x - 42 = (x +k) (x + 6) then the value of k is

Consider a cube that has sides of length l. now consider putting the largest sphere you can inside this cube without any point on the sphere lying outside of the cube. the volume ratio -volume of the sphere/ volume of the cube is 1. 5.2 × 10−1 2. 3.8 × 10−1 3. 1.9 4. 2.5 × 10−1 5. 3.8

8. kelly wants to buy a magazine that is $25. later the magazine was marked up an additional 20%. what is the new price?

Consider the image of klmn for the translation (x, y) → (x – 2, y – 1). what is the ordered pair of l′?