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Sunny_sXe [5.5K]
4 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]4 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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Given:
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Answer:

PS=13\text{ units}

Step-by-step explanation:

So, we know that PR is 20, SR is 11, and QS is 5.

We also know that PQ is perpendicular to QR, forming the right angle at ∠Q.

We know all the side lengths except for PQ and PS (the one we want to find). Notice that if we find PQ first, we can then use the Pythagorean Theorem to find PS since we already know QS.

So, let's find PQ.

We can see that we can also use the Pythagorean Theorem on PQ. PQ, QR, and PR (the hypotenuse) will be our sides. So:

(PQ)^2+(QR)^2=(PR)^2

We know that PR is 20.

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So, substitute:

(PQ)^2+(16)^2=(20)^2

Solve for PQ. Square:

(PQ)^2+256=400

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(PQ)^2=144

Take the square root of both sides:

PQ=12

So, the side length of PQ is 12.

Now, we can use the Pythagorean Theorem again to find PS. Notice that PQ, QS, and PS also form a right triangle, with PS being the hypotenuse. So:

(PQ)^2+(QS)^2=(PS)^2

We already know that QS is 5. We also just determined that PQ is 12. Substitute:

(12)^2+(5)^2=(PS)^2

Square:

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Add:

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Take the square root of both sides:

PS=13

Therefore, the length of PS is 13 units.

And we're done!

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