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Sunny_sXe [5.5K]
3 years ago
11

Using n for the variable, write an algebraic expression that represents a number that is divisible by the given number. (Hint: A

number that is divisible by 2 could be written as 2n, where n is any integer.) divisible by 5
Mathematics
1 answer:
iris [78.8K]3 years ago
7 0

Answer:

'5n' is the correct answer.

Step-by-step explanation:

Let 'n' be any integer i.e. a number from the set {....., -3,-2,-1,0,1,2,3, ..... }

so 'n' can be termed as the variable here because its value can change and can be any value from the above set.

A number 'q' that can be divided by a a given number 'p' can be written as:

n \times p

When divided by 'p' :

\dfrac{q}p = \dfrac{n \times p}{p}\\\dfrac{q}p = n

So, The number 'q' is completely divisible by 'p' leaving 'n' as the quotient.

Using this concept, let us solve the questions:

a) Using 'n' as the variable, a number that is divisible by 5 can be written as:

5n

Read more on Brainly.com - brainly.com/question/16919676#readmore

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I am confused about ii) help please
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Step-by-step explanation:

i)=

m=2/3

x=-3

y = 5

now

y=mx+c

or, 5 = 2/3× -3 + c

or, 5 = -2+c

c =7

now,

y= mx + c

or, y = 2/3×x+7

or, y = 2x/3+7

or, 3y = 2x+21

so, 3y-2x=21

equation would be 3y-2x=21.

now

ii)=

if slope of 3y-2x=21 and 2x-3y = 0 are same, they are parallel.

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lets suppose x is 9

now

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so, y = 6

one coordinate would be (9,6) now

lets again suppose x is 3

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or, 6 = 3y

so, y = 2

another coordinate is (3,2)

now lets find slope

x1=9,y1=6

x2=3,y2=2

slope = (y2-y1)/(x2-x1)

= (2-6)/(3-9)

= -4/-6

= 2/3

Since, slope of 3y-2x=21 and 2x-3y has same slope 2/3, they are parallel.

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