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igor_vitrenko [27]
2 years ago
7

I am in need of help :) please and thank you :):

Mathematics
2 answers:
nika2105 [10]2 years ago
8 0
It’s the second answer
Evgen [1.6K]2 years ago
5 0

Answer:

<h2><em><u>2nd</u></em><em><u> </u></em><em><u>Option</u></em><em><u>:</u></em></h2><h2>6 {x}^{2}  + 43x + 55</h2>

Step-by-step explanation:

<em><u>Given</u></em><em><u>, </u></em>

Dimensions of the rectangular garden = 2x+11, 3x + 5

<em><u>Therefore</u></em><em><u> </u></em><em><u>,</u></em>

Area of the rectangular garden

= (2x+11) × (3x + 5)

= 3x(2x + 11) + 5(2x + 11)

=  {6x}^{2}  + 33x + 10x + 55

= 6 {x}^{2}  + 43x + 55(ans)

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nignag [31]

Answer:

A. 24.5

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Step-by-step explanation:

A.

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Is 0.7 greater or less than 9/10
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Write a corresponding real-world problem for each equation.
Kamila [148]

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Step-by-step explanation:

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3 years ago
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
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