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2 years ago

Can someone pls help with this? i’ll give brainliest :)

Mathematics

1 answer:

raketka [301]2 years ago

6 0

Answer:

D (I think)

Step-by-step explanation:

I used a right triangle calculator and that was the answer

Below is the process the calculator did, hope it helps.

$c = \sqrt{a^{2} +b^{2}$

$\sqrt{12^{2} + 9^{2} } = 15$

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Let A be a set of numbers.

LUCKY_DIMON [66]

Answer:

a. closed under addition and multiplication

b. not closed under addition but closed under multiplication.

c. not closed under addition and multiplication

d. closed under addition and multiplication

e. not closed under addition but closed under multiplication

Step-by-step explanation:

Let A be a set of all integers divisible by 5.

Let $x,y$ ∈A such that $x=5m\,,\,y=5n$

Find $x+y,xy$

$x+y=5m+5n=5(m+n)$

So, $x+y$ is divisible by 5.

$xy=(5m)(5n)=25mn=5(5mn)$

So,

$xy$ is divisible by 5.

Therefore, A is closed under addition and multiplication.

Let A = { 2n +1 | n ∈ Z}

Let $x,y$ ∈A such that $x=2m+1\,,\,y=2n+1$ where m, n ∈ Z.

Find $x+y,xy$

$x+y=2m+1+2n+1=2m+2n+2=2(m+n+1)$

So,

$x+y$ ∉ A

$xy=(2m+1)(2n+1)=4mn+2m+2n+1=2(2mn+m+n)+1$

So,

$xy$ ∈ A

Therefore, A is not closed under addition but A is closed under multiplication.

$Let A=\{2,5,8,11,14,...\}$

Let $x=2,y=5$ but $x+y=2+5=7$ ∉A

Also,

$xy=2(5)=10$ ∉A

Therefore, A is not closed under addition and multiplication.

Let A = { 17n: n∈Z}

Let $x,y$ ∈ A such that $x=17n,y=17m$

Find x + y and xy

$x+y=17n+17m=17(n+m)$

$xy=(17m)(17n)=289mn=17(17mn)$

So,

$x+y,xy$ ∈ A

Therefore, A is closed under addition and multiplication.

Let A be the set of nonzero real numbers.

Let $x,y$ ∈ A such that $x=-1,y=1$

Find x + y

$x+y=-1+1=0$

So,

$x+y$ ∈ A

Also, if x and y are two nonzero real numbers then xy is also a non-zero real number.

Therefore, A is not closed under addition but A is closed under multiplication.

4 0

2 years ago

Try to answer the following question without running the code in Python:

zloy xaker [14]

The value of x is an int with value 1.

The correct option is (A).

<h3>What is / in python?</h3>

Divides the value on the left by the one on the right.

<h3>What is // in python?</h3>

Divides and returns the integer value of the quotient.

x= 8/4//2

x= 2//2

x=1

Learn more about operators in python here:

brainly.com/question/14531969

#SPJ1

5 0

2 years ago

What is 11 x 11 and a way to remember it

N76 [4]

11x11 is 121 a way to remember it is there is one number on the left one number on the right and they add up to be 2 numbers total

7 0

3 years ago

Read 2 more answers

I need help with this problem and fast

Umnica [9.8K]

Answer:

The answer is always C.

Step-by-step explanation:

Please respond to me on our chat.

7 0

3 years ago

A teacher plans to buy air fresheners that cost $3.50 each. If the teacher can spend no more than $10 on the air fresheners and

iris [78.8K]

Answer:

Step-by-step explanation:

We need to create an equation to represent how many air fresheners the teacher can buy.

Teacher has $10 and a $3 discount coupon which would give her an extra $3 to spend. Each air freshener is $3.50.

x = number of air fresheners

($10 + $3) / $3.50 = x can be written as $13/$3.50 = x

We add $10 and $3 because that gives us the total amount she has to spend.

We divide by $3.50 because that is the cost of each air freshener. The result is the number of air fresheners she can buy.

In this case.

$13/$3.50 = x

3.71 = x BUT we can't buy part of an air freshener, so she can purchase 3 air fresheners.

8 0

3 years ago