Solve the problem.The roof of a building is in the shape of the hyperbola  where x and y are in meters. Determine the distance, w, between the outside walls.A = 11 m

A. 19.3 m
B. 12.2 m
C. 9.65 m
D. 93 m


Answer: A

Mathematics

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Solve the given system of equations algebraically.x2 + y2 = 53x2 - y2 = 45

A. x = 7, y = -2; x = 7, y = 2 B. x = -7, y = -2; x = -2, y = -7 C. x = 7, y = 2; x = 2, y = 7; x = -7, y = -2; x = -2, y = -7 D. x = 7, y = 2; x = -7, y = 2; x = 7, y = -2; x = -7, y = -2

Mathematics

Find the slope of a line tangent to the curve of the given equation at the given point.y = x2 - 1; (-2, 3)

A. 5 B. 10 C. -4 D. -2

Mathematics

Solve the initial value problem for x as a function of t.(2t3 - 2t2 + t - 1)  = 3, x(2) = 0

A. x = ln   -  tan-1  t +  tan-1 2 
B. x = ln   - tan-1  t - ln  + tan-1 2 + ln 4.5
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D. x = ln  -  ln  +  ln 4.5

Mathematics

Use the distributive property to multiply the given expressions.10(10x + 8)

A. 20x + 18 B. 100x + 80 C. 180x D. 100x + 8

Mathematics