<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
Step-by-step explanation:
You can insert different values of x to find y
For example:
x = 4
Plug in x into the equation
y = -1/2(4) + 5
y = -2 + 5
y = 3
So your point will be (4, 3)
If you do 1 more like this, you can draw a line between them. Or you can use Desmos to graph the line.
Hope this helped you!!
Answer:
1/8 or 8 V
Step-by-step explanation:
Answer:
Step-by-step explanation:
4a: x=729
4b: x=9/25
5a ln (2)
5b log2(24
Easy. their total weight is/was 7.78 kilograms. they threw the 54.5 cm to htrow you off
