Answer:

Step-by-step explanation:
Given

Required
Determine g(x), if f(x) is reflected across the y axis
<em>When a function (x,y) is reflected across the y axis, the new function becomes (−x,y).</em>
<em />
In other words,

Calculating f(-x)


Substitute g(x) for f(-x)

<em>Hence;</em>

The answer is 13.
Because this is a kite, the diagonals intersect perpendicularly or with a 90° angle.
In the triangle DIC, which is a right triangle, the legs are 5 and 12. To find the hypotenuse, we use Pythogarean theorem:

Plug in the givens:

Take the squares:

Take the square root of both sides:

We find the line segment DC. In the question it says "BD = DC". So BD is equal to 13.
(7x^3 – 4x^2) + (2x^3 – 4x^2)
Add 2x^3 to 7x^3
(9x^3 - 4x^2) + (-4x^2)
Add -4x^2 to -4x^2. This would be the same as subtracting 4x^2 from -4x^2
Final Answer: 9x^3 - 8x^2
*The answer cannot be broken down anymore. It's in it's simplest form.
Answer:
(0, 2) and (- 1, 4)
Step-by-step explanation:
The solutions to the system of equations are at the points of intersection of f(x) and g(x)
These are at (0, 2) and (- 1, 4)