Find the standard-form equation of the hyperbola centered at the origin which satisfies the given conditions.Vertices at (0, 4) and (0, -4); asymptotes y = 
x and y = - 
x
A. 
- 
= 1
B. 
- 
= 1
C. 
- 
= 1
D. 
- 
= 1
Answer: C
Mathematics
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A. 0.025; 
B. 0.0025; 
C. 0.25; 
D. 0.000025; 
Mathematics
Provide an appropriate response.Find the perimeter of the given figure. 
A. 24 cm B. 36 cm2 C. 24 cm2 D. 36 cm
Mathematics
Solve the system using the inverse of the coefficient matrix of the equivalent matrix equation.2x + 8y + 6z = 204x + 2y - 2z = -23x - y + z = 11
A. (-1, 2, 1) B. (2, 1, 6) C. (2, -1, 4) D. No solution
Mathematics
Solve the problem.A rectangular patio has dimensions 10 feet by 15 feet. The patio is surrounded by a border with a uniform width of 3 feet. Find the area of the border.
A. 186 ft2 B. 162 ft2 C. 84 ft2 D. 114 ft2
Mathematics