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masya89 [10]
3 years ago
12

Which of the following expressions represents "the difference of 8 and n"?

Mathematics
1 answer:
kiruha [24]3 years ago
8 0

Answer:

n-8

Step-by-step explanation:

difference means subtraction so it can't be 8n which is multiplication or 8-0 because n is not represented.

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Which of these relations on the set {0, 1, 2, 3} are equivalence relations? If not, please give reasons why. (In other words, if
Delicious77 [7]

Answer:

(1)Equivalence Relation

(2)Not Transitive, (0,3) is missing

(3)Equivalence Relation

(4)Not symmetric and Not Transitive, (2,1) is not in the set

Step-by-step explanation:

A set is said to be an equivalence relation if it satisfies the following conditions:

  • Reflexivity: If \forall x \in A, x \rightarrow x
  • Symmetry: \forall x,y \in A, $if x \rightarrow y,$ then y \rightarrow x
  • Transitivity: \forall x,y,z \in A, $if x \rightarrow y,$ and y \rightarrow z, $ then x \rightarrow z

(1) {(0,0), (1,1), (2,2), (3,3)}

(3) {(0,0), (1,1), (1,2), (2,1), (2,2), (3,3)}

The relations in 1 and 3 are Reflexive, Symmetric and Transitive. Therefore (1) and (3) are equivalence relation.

(2) {(0,0), (0,2), (2,0), (2,2), (2,3), (3,2), (3,3)}

In (2), (0,2) and (2,3) are in the set but (0,3) is not in the set.

Therefore, It is not transitive.

As a result, the set (2) is not an equivalence relation.

(4) {(0,0), (0,1), (0,2), (1,0), (1,1), (1,2), (2,0), (2,2), (3,3)}

(1,2) is in the set but (2,1) is not in the set, therefore it is not symmetric

Also, (2,0) and (0,1) is in the set, but (2,1) is not, rendering the condition for transitivity invalid.

5 0
3 years ago
Square root of 10 to nearest Hun
AlekseyPX
3.16 use a calculator on these it will help out in not needing to wast a lot of paper
3 0
2 years ago
A map of a city uses a scale of 1cm =3.5 meters. If a road shown on the maps runs for 25cm how long is the road?
choli [55]

Answer: 87.5

Step-by-step explanation: 1cm x 25cm = 87.5

5 0
2 years ago
Read 2 more answers
What is true about 3 squared x 4 squared
BARSIC [14]
Hello there, and thank you for posting your question here on brainly.

Short answer: C. Product of 2 rational numbers = a rational number.

Why?

The numbers are both rational because squared is a result of a number multiplied by itself. Like (3^2 = 9). It turns out as a rational number because you're multiplying by two positive numbers, which always turns out as a rational number. (3^2 * 4^2 ==> 144) [3^2 = 9] [4^2 = 16]

Hope this helped you! ♥
8 0
3 years ago
What is the area of the square? A square with the left side labeled 4 units.
Liono4ka [1.6K]
Area of square is a^2
4^2 = 16
the area is 16 units
7 0
2 years ago
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