Answer:
-21
Step-by-step explanation:
I assume this is a 2 by 2 matrix.

determinant = -5 * 4 - 1 * 1 = -20 - 1 = -21
Answer: (b) exactly one plane contains a given line and a point not on the line.
Step-by-step explanation: The basic postulates of geometry are very-well known to all of us. For example-
(i) The intersection of two lines determines a point,
(ii) Two parallel lines give result to a plane,
(iii) A line and a point not on the line determines a plane, etc...
Thus, with the help of the third point, we can easily arrive at the conclusion that a given line and a point not lying on the line is contained in a plane. For example- see the attached figure, AB is a line and P is any point not on the line. They both contained in the plane ABC.
Hence, the correct option is (b).
Answer:
you do math
Step-by-step explanation:
The equivalent sets are <u>X n Y = { } and X U Y= {5, 6, 7,8, 9, 10, 12 ,14}</u>
<h3>Set theory and notation</h3>
Given the following sets expressed as;
X = {8, 10, 12, 14}
Y = {5, 6, 7, 8,9}
Since union means the combination of all the elements in both sets and intersection is the common elements in the set, hence;
X n Y = { }
X U Y= {5, 6, 7,8, 9, 10, 12 ,14}
Note that the intersection is an empty set since there is no common element
Learn more on set theory here: brainly.com/question/13458417
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