Answer:
84 = 7×12
84 = 3×4×7
84 = 2×2×3×7
Step-by-step explanation:
84 = 7 × 12 ( the factors of 12 are 3×4)
so 84 = 3×4×7 ( the factors of 4 are 2×2)
so 84 = 2x2x3x7
I hope it helps you!
I think I could be letter C
Answer:
14 chaperones, 49 students
Step-by-step explanation:
<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.
Thus,
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
= 8 (2q² + 3q + 1) + 1
= 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
You can locate<span> any </span>point on the coordinate plane<span> using an ordered pair of numbers.
e.i. (4,2) will be 4 units to the right and 2 units up on the coordinate plane.</span>
