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yan [13]
3 years ago
5

Consider a relation on the set of all states in the United States given by: two states are related if they have a border in comm

on. Is it an equivalence relation
Mathematics
1 answer:
77julia77 [94]3 years ago
7 0

Answer:

Yes it is an equivalence relation

Explanation:

An equivalence relation is a binary relation between two values that are symmetric, transitive and reflexive. In other words, when we say a value x is equal(using "=") to a value y, there is an equivalence relation between them.

Example, given set {x, y, z} where ~ means equivalence:

x ~ y if y ~ z means symmetric

since x ~ y and y ~ z, then x ~ z means transitive

x ~ x means reflexive

Equivalence relations share a common attribute or attributes(example, a satisfying condition)

The above condition that two states are related from the set of all US states if they have a border in common satisfies the condition of equivalence listed hence it is an equivalence relation.

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Write y=10x as a logarithmic function please
Margaret [11]
\bf \textit{exponential form of a logarithm}
\\\\
log_a  b=y \implies   a^y=  b\qquad\qquad 
%  exponential notation 2nd form
a^y=  b\implies log_a  b=y \\\\
-------------------------------\\\\
y=10^x\implies log_{10}(y)=x
5 0
3 years ago
Algebra: Solve for x
Irina-Kira [14]

Answer:

2

Step-by-step explanation:

6-x/2=4

6-x=4*2

6-x=8

x=2

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3 years ago
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Dwayne is walking on a straight sidewalk. He spots
Anastasy [175]

Answer:

Skew lines

Step-by-step explanation:

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Other examples of skew lines can be found in non co-planar non parallel, parts of a bridge.

7 0
3 years ago
Find the missing side length ED Round answe to the nearest tenth please.
GarryVolchara [31]

Answer:

Step-by-step explanation:

Considering the given triangle EDI, to determine ED, we would apply the sine rule. It is expressed as

a/SinA = b/SinB = c/SinC

Where a, b and c are the length of each side of the triangle and angle A, Angle B and angle C are the corresponding angles of the triangle. Likening it to the given triangle, the expression becomes

ED/SinI = DI/SinE = EI/SinD

Therefore

Recall, the sum of the angles in a triangle is 180°. Therefore,

I° = 180 - (36 + 87) = 57°

Therefore,

ED/Sin 57 = 26/Sin 36

Cross multiplying, it becomes

EDSin36 = 26Sin57

0.588ED = 26 × 0.839

0.588ED = 21.814

ED = 21.814/0.588

ED = 37.1 m

8 0
3 years ago
I NEED HELP!!!!!! 4x+2x-5=7x-1
yan [13]

Let's solve your equation step-by-step.

4x+2x−5=7x−1

Step 1: Simplify both sides of the equation.

4x+2x−5=7x−1

4x+2x+−5=7x+−1

(4x+2x)+(−5)=7x−1(Combine Like Terms)

6x+−5=7x−1

6x−5=7x−1

Step 2: Subtract 7x from both sides.

6x−5−7x=7x−1−7x

−x−5=−1

Step 3: Add 5 to both sides.

−x−5+5=−1+5

−x=4

Step 4: Divide both sides by -1.

−x

−1

=

4

−1

x=−4

Answer:

x=−4

i hope this helps you

3 0
3 years ago
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