Solve the problem.The area of a triangle with vertices (x1, y1), (x2, y2), and (x3, y3) is
,where the symbol ± indicates that the appropriate sign should be chosen to yield a positive area. Use this formula to find the area of a triangle whose vertices are (2, 10), (6, -4), and (-3, -9).
A. 2
B. 73
C. 1
D. 146
Answer: B
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Find a formula for the nth partial sum of the series and use it to find the series' sum if the series converges. +
+
+ ... +
+ ...
A. ;
B. ;
C. ; 5
D. ; 5
For the function f whose graph is given, determine the limit.Findf(x).
A. 0 B. -2 C. ? D. does not exist
Solve the problem.At noon, ship A was 14 nautical miles due north of ship B. Ship A was sailing south at 14 knots (nautical miles per hour; a nautical mile is 2000 yards) and continued to do so all day. Ship B was sailing east at and continued to do so all day. The visibility was 5 nautical miles. Did the ships ever sight each other?
A. No. The closest they ever got to each other was 7.6 nautical miles. B. Yes. They were within 4 nautical miles of each other. C. Yes. They were within 3 nautical miles of each other. D. No. The closest they ever got to each other was 8.6 nautical miles.
Graph the piecewise function.f(x) =
A.
B.
C.
D.