Find the distance (correct to two decimal places) between the given parallel planes.

6x+7y-2z=12 and 12x+14y-2z=70


3.13

Mathematics

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Rationalize the denominator. Simplify, if possible.

A.
B.
C.
D.

Mathematics

Determine whether or not the points are vertices of the given geometric figure.(2, 2), (3, 0), (1, -1), and (0, 1); square

A. No B. Yes

Mathematics

Find the probability.In a certain college, 33% of the physics majors are ethnic minorities. A random sample of 10 physics majors is chosen. Find the probability that exactly 4 are not ethnic minorities. Round to the nearest ten-thousandth.

A. 0.0467 B. 0.2253 C. 0.2564 D. 0.0547

Mathematics

Find the absolute value of the complex number.z = 4

A. 4 B. 4i C. 16 D. 2

Mathematics