Find the vertices of the hyperbola.4y2 - x2 + 32y - 6x + 51 = 0

A. (3, 5) and (3, 3)
B. (-5, -4) and (-1, -4)
C. (1, 4) and (5, 4)
D. (-3, -3) and (-3, -5)


Answer: D

Mathematics

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A. 54?
B. ?
C. 27?
D. ?

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For each right triangle, find the missing quantity.Find c. Round to the nearest hundredth if necessary.

A. c = 838.08 m B. c = 825.43 m C. c = 811.86 m D. c = 805.43 m

Mathematics

Simplify.

A.
B.
C. 8 - a2
D. 8

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Which of the following comparisons would use a “paired t-test”?

A- Fifteen retirees with diagnosed hypertension are assigned a program of diet, exercise, and meditation. A baseline measurement of blood pressure is taken before the program begins and again after 2 months. Was the program effective in reducing blood pressure of the participants after analyzing the mean blood pressure before the program compared to mean blood pressure after the program? B- Comparing average GPA of male undergraduate students vs. average GPA of female undergraduate students C- Comparing average age of juniors vs. average age of seniors. D- Comapring the average GPA of economics majors, biology majors, and computer science majors.

Mathematics