Acity planner designs a park that is a quadrilateral with vertices at j(−1, 1), k(3, 3), l(5, −1), and m(−3, −3). there is an entrance to the park at the midpoint of each side of the park. a straight path connects each entrance to the entrance on the opposite side. assuming each unit of the coordinate plane represents 10 meters, what is the total length of the paths to the nearest meter? round your answer to the nearest whole number.

You have two cards with a sum of -12 in both hands. a. what two cards could you have? b. you add two more cards to your hand, but the total sum if the cards remains the same, (-12).

Determine whether the following statements are true and give an explanation or counterexample. bold a. when using the shell method, the axis of the cylindrical shells is parallel to the axis of revolution. bold b. if a region is revolved about the y-axis, then the shell method must be used. bold c. if a region is revolved about the x-axis, then in principle it is possible to use the disk/washer method and integrate with respect to x or the shell method and integrate with respect to y.

Describe the relationship between the angles of similar triangles and the sides of similar triangles