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3 years ago

Can someone please help me. ILL GIVE BRAINLIEST TO THE RIGHT ANSWER!!

Mathematics

1 answer:

aalyn [17]3 years ago

5 0

Letter A

because we should add the two smaller number in the radical and if the sum equals to the other one. Then, it is a right triangle

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Let R be the relation on the set of ordered pairs of positive integers such that ((a, b), (c, d)) ∈ R if and only if ad = bc. Ar

Veseljchak [2.6K]

Answer:

The given relation R is equivalence relation.

Step-by-step explanation:

Given that:

$((a, b), (c, d))\in R$

Where $R$ is the relation on the set of ordered pairs of positive integers.

To prove, a relation R to be equivalence relation we need to prove that the relation is reflexive, symmetric and transitive.

1. First of all, let us check reflexive property:

Reflexive property means:

$\forall a \in A \Rightarrow (a,a) \in R$

Here we need to prove:

$\forall (a, b) \in A \Rightarrow ((a,b), (a,b)) \in R$

As per the given relation:

$((a,b), (a,b) ) \Rightarrow ab =ab$ which is true.

$\therefore$ R is reflexive.

2. Now, let us check symmetric property:

Symmetric property means:

$\forall \{a,b\} \in A\ if\ (a,b) \in R \Rightarrow (b,a) \in R$

Here we need to prove:

$\forall {(a, b),(c,d)} \in A \ if\ ((a,b),(c,d)) \in R \Rightarrow ((c,d),(a,b)) \in R$

As per the given relation:

$((a,b),(c,d)) \in R$ means $ad = bc$

$((c,d),(a,b)) \in R$ means $cb = da\ or\ ad =bc$

Hence true.

$\therefore$ R is symmetric.

3. R to be transitive, we need to prove:

$if ((a,b),(c,d)),((c,d),(e,f)) \in R \Rightarrow ((a,b),(e,f)) \in R$

$((a,b),(c,d)) \in R$ means $ad = cb$ .... (1)

$((c,d), (e,f)) \in R$ means $fc = ed$ ...... (2)

To prove:

To be $((a,b), (e,f)) \in R$ we need to prove: $fa = be$

Multiply (1) with (2):

$adcf = bcde\\\Rightarrow fa = be$

So, R is transitive as well.

Hence proved that R is an equivalence relation.

8 0

3 years ago

Beth bought an 8.5-pound bag of cat food. She also bought a bag of dog food that weighs 3.5 times as much as the bag of cat food

Tomtit [17]

8.5 X 3.5 = 29.75 pounds

4 0

3 years ago

Read 2 more answers

Evaluate the following expression:

swat32

Your answer would end up being 1.
6^2-7(8+6-3^2) = 1

3 0

3 years ago

A tow truck charges a service fee of $50 and an additional fee of $1.75 per mile. What distance was Marcos's car towed if he rec

Solnce55 [7]

Well since the service fee is $50 that would be subtracted from the bill of $71. So what you would have left is $21 if you 1.75*12=21 so your answer would be 12miles hope I helped!

6 0

4 years ago

HELP MEE ITS FOR MATH ABD NOBODY HAD SAID WHAT TBE STORE MADE FROM HIS SALES

svet-max [94.6K]

Answer:

727.5

Step-by-step explanation:

If Jarrod made 3 percent in commissions then y have to find what 97 percent of 750 is

The equation set up would be .97 times 750

750 times .97= 727.5

7 0

3 years ago

Can someone please help me. ILL GIVE BRAINLIEST TO THE RIGHT ANSWER!!​

Can someone please help me. ILL GIVE BRAINLIEST TO THE RIGHT ANSWER!!