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gregori [183]
3 years ago
6

Two lines are if one is vertical and the other is horizontal or the slopes of the lines are negative reciprocals of each other

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
6 0

Answer:

Then these two lines are perpendicular.

Step-by-step explanation:

The definition of perpendicular lines are that they have negative and reciprocal slopes. Therefore, these two lines would fit this definition and would be perpendicular.

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Translate each of these statements into logical expressions by using quatifiers and predicates with one or two variables. (a) A
nikdorinn [45]

Answer:

a) A = \{\exists x \in M, \exist y \in U\,|\,xGy \}, b) B = \{\exists x \in M,\,\exists y \in H\,|\,xMy \}, c) C = \{\forall x \in M\,|\,xI \}, d) D = \{\exists x \in M,\,\forall y \in U\,|\,xJy \} , e) E = \{\exists x \in M, \forall y \in V, V \subseteq U\,|\,xJy \}

Step-by-step explanation:

a) x - A student, M - Set of students of discrete math class, G - has lived in, y - Florida, U - Set of states of the United States of America.

A = \{\exists x \in M, \exist y \in U\,|\,xGy \}

b) x - A student, M - Set of students of discrete math class, y - A perfect grade, H - Midterm I.

B = \{\exists x \in M,\,\exists y \in H\,|\,xMy \}

c) x - A student, M - Set of students of discrete math class, I - loves discrete math.

C = \{\forall x \in M\,|\,xI \}

d) x - A student, M - Set of students of discrete math class, J - has been in, y - a state, U - Set of states of the United States of America.

D = \{\exists x \in M,\,\forall y \in U\,|\,xJy \}

e) x - A student, M - Set of students of discrete math class, J - has been in, y - a city, V - At least one state of the United States of America, U - Set of states of the United States of America.

E = \{\exists x \in M, \forall y \in V, V \subseteq U\,|\,xJy \}

5 0
3 years ago
The data in the table is describing the heights of the Boston Celtics.
tester [92]

Answer: 4.5%

Step-by-step explanation:

Percentage will be calculated as:

No of players with height below 74/ total number of players x 100

From the question, Only one player has height of below 74

Total number of heights recorded is from 22 players

% = 1/22 × 100

0.04545 x 100

= 4.5%

I hope this helps.

5 0
3 years ago
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