The object shown in the figure is a cube (all edges are equal in length).



If the length of each edge of the cube shown in the figure is 1 inch0, find the length of diagonal CE.

A.  inches
B.  inch0
C.  inches
D.  inches
E.  inches


Answer: D

Mathematics

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Solve the inequality and express the solution set in interval notation. Graph the solution set on the real number line.-5(6x + 12) < -35x - 15

A. x ? 9; [9, ?)

B. x > 9; (9, ?)

C. x ? 9; (-?, 9]

D. x < 9; (-?, 9)

Mathematics

Use transformations of graphs to sketch the graphs of y1 and y2. Graph y2 as a dashed curve.y1 = ?x?; y2 = ?x - 5?

A.

B.

C.

D.

Mathematics

Solve the problem.A flare fired from the bottom of a gorge is visible only when the flare is above the rim. If it is fired with an initial velocity of 128 ft/sec and the gorge is 192 ft deep, during what interval can the flare be seen? 

A. 2 sec < t < 6 sec B. 0 sec < t < 2 sec C. 6 sec < t < 10 sec D. 4 sec < t < 8 sec

Mathematics

Graph the polar equation.r = Identify the directrix and vertex. 

A. directrix: 1 unit(s) below
the pole at y = -1
vertex: 

B. directrix: 1 unit(s) to the right of
the pole at x = 1
vertex: 

C. directrix: 1 unit(s) above
the pole at y = 1
vertex: 

D. directrix: 1 unit(s) to the left of
the pole at x = -1
vertex: 

Mathematics