In , a sector is bounded by radii and and arc

align="absmiddle" style="vertical-align:-4px;" />. If m = 90° and PX = 6 m, find the exact area of the sector.

A. 9 
B. 12 
C. 3 
D. 36 

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Answer: A

Mathematics

Give an appropriate answer.Find a point on the surface z = 5x2 + 2y2  where the tangent plane is parallel to the plane  .

A. (5, -2, 62)
B.
C.
D.

Use a day counting table to find the exact number of days from the first date to the second date. Assume the year is not a leap year unless otherwise indicated.February 23 to October 16

A. 253 B. 254 C. 235 D. 289

Solve the problem.Let u = -2i + 6j, v = 2i + 3j, and w = i - j. Write u = u1 + u2 where u1 is parallel to v and u2 is parallel to w.

A. u₁ = v, u₂ = - w
B. u₁ = v, u₂ = - w
C. u₁ = 3v, u₂ = 2w
D. u₁ = -4v, u₂ = -18w

Find the vertices and foci of the ellipse. Graph the ellipse.81x2 + 25y2 = 2025

A. Foci at (- 2, 0) and (2, 0)
Vertices at (-9, 0), (9, 0)

B. Foci at (0, - 2) and (0, 2)
Vertices at (0, -9), (0, 9)

C. Foci at (-9, 0) and (9, 0)
Vertices at (-81, 0), (81, 0)

D. Foci at (0, -9) and (0, 9)
Vertices at (0, -81), (0, 81)