- 39. Which of the lines in the following graph appear to be tangent lines? Why or why not?

A tangent line from a point to a circle touches the circle in one point only. True or False? O True O False

The slope of the tangent to the curve px+ v?x? -6 at (2,1) is 5 14 3 -- 14 O -1 - - 3 3 2

§B: Determine which of the following points are contained by the circle (x – 4)² + (y + 1)² = 16 10. (1, 4) 11. (4, 3) 12. (-2, 3) 13. (5, 3) 14. (0, -1)

1. If the ordered pair (8, 12) belongs to a relationship in which y varies directly as x, which ordered pair could also belong to this relationship? A. (12,8) B. (3,7) C. (4, 6) D. (9,13)

2. The annual depreciation of a new laptop is given by the linear relation, 50t 3 where is the current value in $ and t is the time in years since the laptop was purchased. a) Algebraically rewrite this equation in slope-intercept form (so that V is isolated on the left side). V 20 + = 100 b) Using the V-intercept and the slope, graph this relation on the Cartesian Plane. Use a ruler and NEATLY construct the graph! Scale and label the axes appropriately! Be sure to include units. Title the graph. Check that your graph is correct with DESMOS.

. The Definition of e Illustrate the definition of the number eby graphing the curve y  11  1/x2xand the line y  e onthe same screen, using the viewing rectangle 30, 404 by 30, 44.

What term describes the section between points A and D?

Answer all questions with the most detail as possible!