1. write an equation of an ellipse in standard form with the center at the origin and with the given characteristics.

vertex at (-3,0) and co-vertex at (0,2)
a) x^2/9 + y^2/4 = 1
b) x^2/4 + y^2/9 = 1
c) x^2/3 + y^2/2 = 1
d) x^2/2 + y^2/3 = 1

2. what is the standard form equation of the ellipse with vertices at (0,6) and (0,-6) and co-vertices at (4,0) and (-4,0)?
a) x^2/4 + y^2/6 = 1
b) x^2/16 + y^2/36 = 1
c) x^2/36 + y^2/16 = 1
d) x^2/6 + y^2/4 = 1

3. an elliptic track has a major axis that is 80 yards long and a minor axis that is 72 yards long. find an equation for the track if its center is (0,0) and the major axis is the x-axis.
a) x^2/72 + y^2/80 = 1
b) x^2/1296 + y^2/1600 = 1
c) x^2/80 + y^2/72 = 1
d) x^2/1600 + y^2/1296 = 1

Write the contrapositive of the conditional statement. determine whether the contrapositive is true or false. if it is false, find a counterexample. a converse statement is formed by exchanging the hypothesis and conclusion of the conditional. a) a non-converse statement is not formed by exchanging the hypothesis and conclusion of the conditional. true b) a statement not formed by exchanging the hypothesis and conclusion of the conditional is a converse statement. false; an inverse statement is not formed by exchanging the hypothesis and conclusion of the conditional. c) a non-converse statement is formed by exchanging the hypothesis and conclusion of the conditional. false; an inverse statement is formed by negating both the hypothesis and conclusion of the conditional. d) a statement not formed by exchanging the hypothesis and conclusion of the conditional is not a converse statement. true