Determine if each ordered pair is a solution to the given system of inequalities in two variables.x2 = y2 + 39x - y = 3(i) (8, -5); (ii) (-8, -5)
A. (i) Yes; (ii) No
B. (i) Yes; (ii) Yes
C. (i) No; (ii) Yes
D. (i) No; (ii) No
Answer: D
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Solve the problem.Find the foci and asymptotes of the following hyperbola:x2 - 
= 1
A. Foci: (4, 0), (-4, 0); Asymptotes: y = 
x, y = - 
x
B. Foci: (
, 0), (-
, 0); Asymptotes: y = 
x, y = - 
x
C. Foci: (
, 0), (-
, 0); Asymptotes: y = 4x, y = -4x
D. Foci: (0, 
), (0, -
); Asymptotes: y = 4x, y = -4x
Find the given power. Write answer in rectangular form.(2 - 2i)5
A. -64 + 64i
B. -64
+ 64
i
C. -128 + 128i
D. - 
+ 
i
Use the accompanying graph of a particle moving on a coordinate line with velocity v = f(t) in ft/sec at time t seconds. The axes are marked off at one-unit intervals. Use these terms to describe the motion state: moving forward/backward, increasing/decreasing speed, and resting. Recall that speed = 
. 
Give the interval(s) when the speed of the particle is increasing.
A. (0, 2), (5, 6), and (11, 13) B. (0, 2), (5, 6), (11, 13), and (21, 23) C. (0, 2), (5, 6), and (21, 23) D. (0, 6), (11, 15), and (19, 23)
Find area of figure. Round to the nearest hundredth if necessary.
A. 258 m2 B. 132 m2 C. 264 m2 D. 1064 m2