Sketch the graph. Find the coordinates of the foci and the lengths of the major and minor axes.

25x² + 16y² = 400


Mathematics

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Determine whether the syllogism is valid or invalid.Some teachers believe in corporal punishment.All who believe in corporal punishment are cruel.Mr. Harrington is not cruel. ? Mr. Harrington is not a teacher.

A. Valid B. Invalid

Mathematics

Find all points where the function is discontinuous.

A. None B. x = 6 C. x = -2 D. x = -2, x = 6

Mathematics

Find a system of inequalities with the given graph.

A. y ? -x + 3 y ? 0 x ? 0 x ? 8 B. y ? -x + 3 y ? 0 x ? 0 y ? 8 C. y ? -x + 3 y ? 0 x ? 0 x ? 8 y ? 8 D. y ? -x + 3 x ? 8 y ? 8

Mathematics

Solve the problem.An earthquake was recorded which was 2,511,886 times more powerful than a reference level zero earthquake. What is the magnitude of this earthquake on the Richter scale? Intensity on the Richter scale is log.

A. 14.7 B. 5.4 C. 0.64 D. 6.4

Mathematics