Find the center and radius of the circle from the following equation. calculations need to be provided. x2 + 2x + y2 + 4y = 20

Select the correct answer. what is the surface area of the victory podium shown here? include all surfaces of the podium, including the bottom. a. 61.5 square feet b. 61.75 square feet c. 65.25 square feet d. 69 square feet

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y < 4x − 8 y is greater than or equal to negative 5 over 2 times x plus 5 part 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 (5, −8) included in the solution area for the system? justify your answer mathematically. (4 points)

Adesigner charges a one time fee of $200 plus $40 an hour for each project. write an expression to represent how much money the designer will make for a project