Solve each exponential equation using logarithms. Round to four decimal places.

4 x 10^k=60

In the proof of the triangle angle sum theorem, you must draw an auxiliary line. which construction must you use to draw this line?

In the rectangle below ac=30 units what is de

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)