Two lines, a and b, are represented by the following equations:
line a: y = x − 1
line b: y = −3x + 11
which of the following options shows the solution to the system of equations and explains why?
(3, 2), because the point does not lie on any axis
(3, 2), because one of the lines passes through this point
(3, 2), because the point lies between the two axes
(3, 2), because both lines pass through this point

= 5

step-by-step explanation:

to find the 15th term substitute n = 15 into the nth term formula

= (- 3 × 15 ) + 50 = - 45 + 50 = 5

answer: the proof is mentioned below.

step-by-step explanation:

since, given:   lines bc = ef

prove:   lines ac > ef

          statements                                           reason

1. bc=ef                                           1. given

2. ac= ab+bc                                 2. because b is the point between the  

                                                            line segment ac

3.   ac > bc                                       3. because if a line segment is equal to

                                                          the sum of two line segments then it is

                                                          always greater then each of these

                                                          individual line segments

4. ac > ef                                         4. by equality property.