If
tan(x) = −9
and x is in quadrant IV, find the exact values of the expressions without solving for x.
(a) sin(2x)

(b) cos(2x)

(c) tan(2x)

Polygons efgh and e′f′g′h′ are shown on the coordinate grid: what set of transformations is performed on efgh to form e′f′g′h′? a. a translation 1 unit to the left followed by a 90-degree counterclockwise rotation about the origin b. a translation 1 unit to the right followed by a 90-degree counterclockwise rotation about the origin c. a 90-degree clockwise rotation about the origin followed by a translation 2 units to the right d. a 90-degree clockwise rotation about the origin followed by a translation 2 units to the left

What values of x satisfy the inequality x^2-9x< 0? how is your answer shown on the graph?

Which number line correctly shows 0.8 + 0.3?