Write the equation of the ellipse that has its center at the origin, focus at  and vertex at . Express the equation in standard form.

What will be an ideal response?



Mathematics

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Write one or more inequalities that describe the set of points.The closed region bounded by the spheres of radius 9 and 10, both centered at the origin, and the planes  and 

A. 9 ? x2 + y2 + z2 ? 10 and x = 1 and x = 6 B. 81 < x2 + y2 + z2 < 100 and 1 < x < 6 C. 81 ? x2 + y2 + z2 ? 100 and 1 ? x ? 6 D. 9 < x2 + y2 + z2 < 10 and x = 1 and x = 6

Mathematics

Write using exponential notation.6 ? 6

A. 63 B. 26 C. 62 D. 2 ? 6

Mathematics

Rationalize the denominator. Assume that all variables represent nonnegative numbers and that the denominator is not zero.

A.
B.
C.
D.

Mathematics

Find the common ratio.4, 8, 16, 32, 64, . . .

A. 2
B. -2
C. 8
D.

Mathematics