1) How can the properties of exponents help solve logarithmic equations?
1 answer:
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Answer:
The remainder would be 1 or 3
Step-by-step explanation:
Consider the 5 consecutive positive integers are,
x, x + 1, x + 2, x + 3, x + 4,
Since, the average of these 5 numbers =
= x + 2
If x + 2 = odd,
⇒ x = odd - 2 = odd - even = odd
⇒ x + 4 = odd + even = odd
∵ an odd number is represented by '2n + 1'
Where, n = 0, 1, 2, 3, ........
Now, 2n + 1 = 1( mod 4) if n = even
While, 2n + 1 = 3( mod 4) if n = odd,
Hence, when the largest of the five integers is divided by 4 remainder would be 1 or 3.
As you can see there are two triangles but it can be done calculating just for one. First we must understand how formula for area of triangle works.
Where represents base (hypotenuse) and
as height of the triangle.
We know that:
Using this data we fill the formula.
Hope this helps.
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