Describe the orthocentric set of a triangle.
What will be an ideal response?
Answers will vary.
Since the set of points, A, B, C and P are an orthocentric set, A is the orthocenter of ?BCP; B
is the orthocenter of ?ACP; C is the orthocenter of ?ABP and P is the orthocenter of ?ABC.
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Find the missing length(s) in the right triangle. If necessary, round to the nearest tenth.
A. a = 4.2; b = 4.2 B. a = 2.1; b = 4.2 C. a = 2.1; b = 2.1 D. a = 4.2; b = 2.1
Evaluate the integral using the given substitution.
dx , u = x5 - 3
A. 
(x5 - 3)5 + C
B. 
x25 - 3 + C
C. 
(x5 - 3)3 + C
D. 
(x5 - 3)5 + C
Illustrate Goldback's conjecture for the following number.48
A. 13 + 35 B. 24 + 24 C. 24 ? 3 D. 17 + 31
Solve the problem.The temperature of water in a certain lake on a day in October can be determined by using the model 
where x is the number of feet down from the surface of the lake and y is the Celsius temperature of the water at that depth. Based on this model, how deep in the lake is the water 13 degrees? (Round to the nearest foot.)
A. 60 ft B. 4 ft C. 23 ft D. 53 ft