<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
Answer:
Point slope formula: (y + 4) = 2(x - 5)
Slope intercept formula: y = 2x - 14
Step-by-step explanation:
Point slope formula: (y + 4) = 2(x - 5)
Slope intercept formula: y = 2x + b, -4 = 10 + b, b = -14
y = 2x - 14
The answer 2.4 miles because 60/25 = x = 2.4mi
Hello!
Another way to put it would be scientific notation. to do so, you would need to get a digit 1-10 multiplied by 10 to a certain power.
For this problem, scientific notation is 1.67(10^16).
To check our answer, we will move the decimal to the right sixteen times because the exponent is positive. In other words, we will add fourteen zeros because we need two to turn 1.67 into 167. This gives us 16,700,000,000,000,000, which matches the question. (This number in word form is 16 quadrillion seven hundred trillion.)
Our final answer is 1.67(10^16).
I hope this helps!
I suppose the restaurant's coordinates are (0, -9), but it is all relative, unless the coordinates of the restaurant have a y-value 9 less than the coordinates of the theater
