When we build integers from natural numbers, we're looking for additive inverse of natural numbers?
What's an additive inverse? Well, for example, the additive inverse of 2 is a numbers
such that

We call this number -2. So, the real meaning behind the negative sign is "if you add me and my positive counterpart, the result is zero".
So, -5 is the additive inverse of 5, -16 is the additive inverse of 16, and so on, because

Note that this is a symmetrical relation: if -5 is the inverse of 5, it is also true that 5 is the inverse of -5.
So, when you write something like

it means that you want to add 5 and the inverse of the inverse of 4. But given what we just said, the inverse of the inverse of a number is the number itself, which is why subtracting a negative number is the same as adding it.
Answer:
3) B and C
Step-by-step explanation:
h has to be -4 because two negatives cancel to make a positive, and the equation is 
k would be positive
h is the x value and k is the y value of the center point, so the coordinate of the center would be (-4, 3)
C is correct because
in the equation, so r would be
if r was 25,
would be 625 not 50
Using a trigonometric identity, it is found that the tangent of the angle is of:

<h3>How to find the sine of an angle given the cosine, or vice versa?</h3>
The sine and the cosine of the angle are related according to the following identity:

For this problem, the sine is given by:

Hence the cosine is found as follows:




On the third quadrant the cosine is negative, hence:

<h3>What is the tangent of an angle?</h3>
The tangent of an angle is given by the sine divided by the cosine, hence:

More can be learned about trigonometric identities at brainly.com/question/26676095
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Answer:
P = 157.1 mm
Step-by-step explanation:
The perimeter of the figure = Circumference of circle + perimeter of square
We have, d = 11
⇒ Radius = 11 mm
Side of square = 22 cm
So,

So, the perimeter of the figure is equal to 157.1 mm.
Question:
I thought of a number, I added 1 3/4 to it, then I multiplied the result by 2 2/11 and I got 8. What was my number?
Answer:
The number is 
<em></em>
Step-by-step explanation:
Let the number be x.
Analyzing the steps, 1 at a time
Add
to x
This implies:

Multiply by
to result in 8
This implies:

Now, we solve for x
Convert mixed numbers to improper fractions


Multiply through by 11


Divide through by 24


Multiply through by 4




Make 4x the subject



Solve for x



<em>Hence, the number is </em>
<em></em>