On a coordinate plane, polygon S prime T prime U prime V prime has points (negative 2, 4), (negative 4, 1), (negative 2, negative 2), and (0, 1). Given the dilation rule DO,1/3 (x, y) → (one-third x, one-third y)

and the image S'T'U'V', what are the coordinates of vertex V of the pre-image?

Do a swot analysis for the business idea you chose in question 2 above. describe at least 2 strengths, 2 weaknesses, 2 opportunities, and 2 threats for that company idea. (1-8 sentences. 4.0 points)

Which ordered pair (c, d) is a solution to the given system of linear equations- c+2d=13 -9c-4d=-15

In each of the cases that follow, the magnitude of a vector is given along with the counterclockwise angle it makes with the +x axis. use trigonometry to find the x and y components of the vector. also, sketch each vector approximately to scale to see if your calculated answers seem reasonable. (a) 50.0 n at 60.0°, (b) 75 m/ s at 5π/ 6 rad, (c) 254 lb at 325°, (d) 69 km at 1.1π rad.