Statements Reasons

1. BD 1 BC

1.

Given

2.

2. ZDBC is a right angle

3. mZDBC = 90°

3. Def. of a right angle

4. mZDBE + ZEBC = mZDBC

Angle addition postulate

Transitive

5. mZDBE + MZEBC = 90°

5.

6. ZABD = ZDBE

6.

7. m ZABD = mZDBE

7.

8. MZABD + m_EBC = 90°

8.

9. ABD and EBC are complementary

9. Def. of complementary

A. (4, 6)

C. (-3, 13)

Step-by-step explanation:

Graphical solutions of two functions are the points of intersection of the graphs of the two functions.

From the graph, the red graph represents a parabolic curve and the blue graph represents a straight line. Both the graphs intersect at two points as shown in the graph.

Therefore, there are two solutions for the given two functions.

The points of intersections as seen on the graph are:

(-3, 13) and (4, 6)

Therefore, the options A and C are correct.