For the geometric sequence, find the common ratio, r.5,
,
,
, . . .
A.
B.
C.
D.
Answer: C
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If ?ABC is an equilateral triangle with perimeter 3s units then each edge of ?ABC is s units long. If each edge of an equilateral triangle is s units long then its height is ?3s/2 units. If the height of an equilateral triangle is ?3s/2 units, then its area is ?3s2/4 units2. Then we can deduce (a) If ?ABC is an equilateral triangle with perimeter 3s units then its area is ?3s2/4 units2. (b) If the area of ?A|BC is| ?3s2/4 units2 then it is an equilateral triangle (c) If each edge of an equilateral triangle is s units long then its area is ?3s2/4 units2. (d) All of these are valid conclusions. (e) Both (a) and (c) are correct.
Solve the problem.Use the graph of y = - x + 1, that is provided, to solve the equation
A. 2 B. -3 C. -1 D. -2
Suppose that P is the endpoint of a segment PQ and M is the midpoint of PQ. Find the coordinates of endpoint Q.P(2, 8), M
A. Q
B. Q
C. Q(-9, 6)
D. Q
Use the method of disks or washers, or the method of cylindrical shells to find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the indicated axis. Sketch the region and a representative rectangle.