Provide the proper response.Explain in your own words how you can tell from the equation whether the graph is an ellipse or a hyperbola.

What will be an ideal response?


In the equation of an ellipse, the x2- and y2-terms both have positive coefficients. In the equation of a hyperbola, one squared term has a negative coefficient (either x2 or y2 but not both).

Mathematics

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Calculate the arc length of the indicated portion of the curve r(t).r(t) = (9 + 2t2)i + (2t2 - 8)j + (5 - t2)k, 1 ? t ? 3

A. 72 B. 24 C. 30 D. 90

Mathematics

Provide an appropriate response.Identify the radicand, the radical, and the square root of  = 9.

A. Radicand is 81; radical is ; square root is 9.
B. Radicand is 9; radical is ; square root is 81.
C. Radicand is ; radical is 81; square root is 9.
D. Radicand is 9; radical is ; square root is 9.

Mathematics

Provide an appropriate response.Reduce  to lowest terms.

A.
B.
C. 0.5
D.

Mathematics

Assume that two marbles are drawn without replacement from a box with 1 blue, 3 white, 2 green, and 2 red marbles. Find the probability of the indicated result.Both marbles are green.

A.
B.
C.
D.

Mathematics