Wednesday, June 7, 2017

Geometry; 6/7

We spent a little more time today working on writing and graphing line equations.  The main emphasis was how to graph two equations on the same grid to determine a common solution for both lines.  This is the point of intersection and two lines are referred to as a system of linear equations.  We solved this system by graphing, and then we also reviewed how to solve it using algebra only.  This is not a new skill, as we have used it several times throughout the year.    The students then got started on their chapter 13 review sheet.


Assignment:  Chapter 13 Review Sheet


Review Sheet Answers

1.  5 radical 5
2.  (x - 5)2 + y2 = 121
3.  radius = 13;  (x + 2)2 +  + 4)2 = 169
4.  -11/2
5.  0
6.  (7, 2)
7.  (-2, -1/2)
8.  center (-2, 4);  radius = 7
9.  center (0 , -6);  radius = 3
10.  B = (-3, 9)
11.  graph on axes
12.  m = -1
13.  m = 1
14.  perpendicular lines due to slopes being opposite reciprocals
15.  both diagonals have the same midpoint;  (3/2,  1/2)
16.  a.  graph of vector on the axes
       b.  (7, -13)
       c.  radical 218 or 14.8
17.  (6, -2)
18.  (-27, 54)
19.  (-1, -5)
20.  graph of y = 2/3 x - 4
21.  horizontal line of y = -4
22.  y = -3/2 x + 4
23.  y = 5/6 x + 5
24.  y = 2x - 1;   slope was calculated to be m = 2
25.  y = -3/2 x - 2
26.  y = 1/2 x + 7
27.  coordinates used for rectangle were (0, 0);  (6, 0);  (0, 4);  (6, 4)
         distance formula used for each diagonal;  length of each diagonal was radical 52

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