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UNO [17]
3 years ago
10

Which expression is equivalent to the given expression 10q + 5

Mathematics
2 answers:
Mice21 [21]3 years ago
3 0
<span>10q + 5 = 5q + 5q + 5

so
answer is 
</span><span>
A. 5q+5q+5</span>
34kurt3 years ago
3 0
The answer would be <u>A</u><u /> because <u />5 + 5 = 10, so 5q + 5q = 10q. Then, the 5 stays the same.
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DIA [1.3K]
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3 years ago
Prove the following statement.
jolli1 [7]
<h2>Step-by-step explanation:</h2>

As per the question,

Let a be any positive integer and b = 4.

According to Euclid division lemma , a = 4q + r

where 0 ≤ r < b.

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r = 0, 1, 2, 3

Since, a is an odd integer, and

The only valid value of r = 1 and 3

So a = 4q + 1 or 4q + 3

<u>Case 1 :-</u> When a = 4q + 1

On squaring both sides, we get

a² = (4q + 1)²

   = 16q² + 8q + 1

   = 8(2q² + q) + 1

   = 8m + 1 , where m = 2q² + q

<u>Case 2 :-</u> when a = 4q + 3

On squaring both sides, we get

a² = (4q + 3)²

   = 16q² + 24q + 9

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   = 8m +1, where m = 2q² + 3q +1

Now,

<u>We can see that at every odd values of r, square of a is in the form of 8m +1.</u>

Also we know, a = 4q +1 and 4q +3 are not divisible by 2 means these all numbers are odd numbers.

Hence , it is clear that square of an odd positive is in form of 8m +1

3 0
3 years ago
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