Answer:
Option C (1, 0)
Step-by-step explanation:
We have a system with the following equations:

The first equation is a parabola.
The second equation is a straight line
To solve the system, substitute the second equation in the first and solve for x.

Simplify

You must search for two numbers that when you add them, obtain as a result -2 and multiplying both results in 1.
These numbers are -1 and -1
Therefore

Finally the solutions are

Answer:
The location of a point on the line
Step-by-step explanation:
Generally, we can write an equation in the point slope form as follows;
y-y1 = m(x-x1)
Where m is the slope of the line
So looking at the option, we can easily see that the information we can read directly from the point-slope form is the location of a point on the line.
We can easily tell the value of (x1,y1) which easily gives out the location of that point on the line
Answer:
11/200
Step-by-step explanation:
5.5% = 5.5/100 = 0.055
0.055 1000
———- X ———
1 1000
=55/1000
=11/200
[ -100, ∞ ). as X decreases f of x approaches -100 asymptotically as X increases f of x increases without bound
Answer:

Step-by-step explanation:
<u>Regular Hexagon</u>
For the explanation of the answer, please refer to the image below. Let's analyze the triangle shown inside of the hexagon. It's a right triangle with sides x,y, and z.
We know that x is half the length of the side length of the hexagon. Thus

Note that this triangle repeats itself 12 times into the shape of the hexagon. The internal angle of the triangle is one-twelfth of the complete rotation angle, i.e.

Now we have
, the height of the triangle y is easily found by

Solving for y

The value of z can be found by using


The area of the triangle is

The area of the hexagon is 12 times the area of the triangle, thus

