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Kazeer [188]
2 years ago
8

HELP ASAP PLEASE! QUESTIONS ATTACHED!

Mathematics
1 answer:
lorasvet [3.4K]2 years ago
7 0
4 is radius 3 is diameter 2 is chord and idk about the other 2
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given examples of relations that have the following properties 1) relexive in some set A and symmetric but not transitive 2) equ
rodikova [14]

Answer: 1) R = {(a, a), (а,b), (b, a), (b, b), (с, с), (b, с), (с, b)}.

It is clearly not transitive since (a, b) ∈ R and (b, c) ∈ R whilst (a, c) ¢ R. On the other hand, it is reflexive since (x, x) ∈ R for all cases of x: x = a, x = b, and x = c. Likewise, it is symmetric since (а, b) ∈ R and (b, а) ∈ R and (b, с) ∈ R and (c, b) ∈ R.

2) Let S=Z and define R = {(x,y) |x and y have the same parity}

i.e., x and y are either both even or both odd.

The parity relation is an equivalence relation.

a. For any x ∈ Z, x has the same parity as itself, so (x,x) ∈ R.

b. If (x,y) ∈ R, x and y have the same parity, so (y,x) ∈ R.

c. If (x.y) ∈ R, and (y,z) ∈ R, then x and z have the same parity as y, so they have the same parity as each other (if y is odd, both x and z are odd; if y is even, both x and z are even), thus (x,z)∈ R.

3) A reflexive relation is a serial relation but the converse is not true. So, for number 3, a relation that is reflexive but not transitive would also be serial but not transitive, so the relation provided in (1) satisfies this condition.

Step-by-step explanation:

1) By definition,

a) R, a relation in a set X, is reflexive if and only if ∀x∈X, xRx ---> xRx.

That is, x works at the same place of x.

b) R is symmetric if and only if ∀x,y ∈ X, xRy ---> yRx

That is if x works at the same place y, then y works at the same place for x.

c) R is transitive if and only if ∀x,y,z ∈ X, xRy∧yRz ---> xRz

That is, if x works at the same place for y and y works at the same place for z, then x works at the same place for z.

2) An equivalence relation on a set S, is a relation on S which is reflexive, symmetric and transitive.

3) A reflexive relation is a serial relation but the converse is not true. So, for number 3, a relation that is reflexive but not transitive would also be serial and not transitive.

QED!

6 0
3 years ago
The slope of the line is ___.<br> (Simplify your answer. Type an integer or a fraction.)
bonufazy [111]

Answer:

-5/7

Step-by-step explanation:

Look at the graph.  As we move from left to right from (-3, 2) to (4, -3), x increases by 7 and y decreases by 5.  Thus, the slope is

m = rise/run = -5/7.

4 0
3 years ago
3n-7/6=2n+5/3<br><br> solve for n please
schepotkina [342]
N = 17/6
or
2.83 (3 is repeating)
4 0
3 years ago
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How are the arc length and circumference of a circle related?​
nikklg [1K]

Answer:

Hope it helps.

Step-by-step explanation:

An arc of a circle is a "portion" of the circumference of the circle. The length of an arc is simply the length of its "portion" of the circumference. The circumference itself can be considered a full circle arc length. ... the angle subtends, s, divided by the radius of the circle, r.

8 0
3 years ago
100 points !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! please answer this question question
jasenka [17]

This is because astronauts can't sprinkle salt and pepper on their food in space. The salt and pepper would simply float away. There is a danger they could clog air vents, contaminate equipment or get stuck in an astronaut's eyes, mouth or nose. Astronauts eat three meals a day: breakfast, lunch and dinner.

8 0
2 years ago
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