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1 year ago

6

The points (3,5) and (21,35) form a proportional relationship. Find the slope of the line through thepoints. Then use the slope

to graph the line,The slope is

1 answer:

ICE Princess25 [194]1 year ago

7 0

$\begin{gathered} \text{ The slope of a line that passes through 2 points is } \\ m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{35-5}{21-3} \\ m=\frac{30}{18} \\ m=\frac{5}{3} \end{gathered}$

The slope is 5/3

For the graph, we have to see that (3,5) and (21,35) are in the line, , or that the equation of the line is

$y=\frac{5}{3}x$

In the case A), a point in the line is (3,5) so the answer is A.

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What is the value of the expression?<br><br> (5/2)2+3/4^3

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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:

a.

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.

b.

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.

c.

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

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.

d.

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.

e.

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.

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3 years ago

Which of the following is equal to 4/7 - 4/7<br><br> . 0<br> . 1<br> . Undefined <br> . 1/7

julia-pushkina [17]

Answer:

0 is the answer

Step-by-step explanation:

4-4=0

7-7=0

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