Arectangle is drawn on a coordinate plane. three vertices of the rectangle are points l(−3,10) , m(6,10) , and p(−3,−6) . point n is the fourth vertex of the rectangle. how long is the side of the rectangle connecting points m and n?

If the ratio of sum of the first m and n terms of an ap is m2 : n2 , show that the ratio of its mth and nth terms is (2m − 1) : (2n − 1).

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y > 2x + 3y is less than negative 3 over 2 times x minus 4part a: describe the graph of the system, including shading and the types of lines graphed. provide a description of the solution area. (6 points)part b: is the point (â’4, 6) included in the solution area for the system? justify your answer mathematically. (4 points)

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