Note: You must show all of your work, including use of the midpoint and distance formulae, to receive credit. Graph paper is recommended. You can print your own here. 1. A ABC have the following vertices A(-7, 4), B(11, 2), and C (-1, −6). ▲ DEF has vertices at the midpoints of AB, BC, and AC. Find the vertices of ▲ DEF. (3 points) 2. Find the perimeter of ▲ DEF to the nearest hundredth of a unit. (4 points) 3. Graph both triangles on the same Cartesian co-ordinate plane. (3 points)

I need help with those questions; thank you. 1, A simple digraph with 4 vertices with in-degrees 0, 1, 2, 2 and out-degrees 0, 1, 1, 3. Is it possible or impossible? Show an example or explain why it’s impossible 2, A simple digraph with 5 vertices with in-degrees 0, 1, 2, 4, 5 and out-degrees 0, 3, 3, 3, 3. Is it possible or impossible? Show an example or explain why it’s impossible.

Identify the vertices and foci of each. Then sketch the graph.

please write clearly and prove all the steps. thank you.