Answer:
Step-by-step explanation:
Area of the figure = Area of rectangle with dimensions 48 in and 32 in + Area of triangle with base 48 in and height 12 in.

3.2x - 6 + (-5.6x + 4) = -2.4x - 2
Hope this helps!
For this case what we should do is take into account the following vectors:

We must find the following subtraction of vectors:

Subtracting component to component we have:

By writing we have:

Then the module of the resulting vector is given by:

Rewriting we have:

Answer:
The module of the resulting vector is given by:

option B
we know that
The equation in vertex form of a vertical parabola is equal to

where
(h,k) is the vertex of the parabola
and the axis of symmetry is equal to the x-coordinate of the vertex
so
-----> equation of the axis of symmetry
In this problem we have

Convert to vertex form
Group terms that contain the same variable, and move the constant to the opposite side of the equation


Complete the square. Remember to balance the equation by adding the same constants to each side


Rewrite as perfect squares
the vertex is the point 
therefore
<u>the answer is</u>
The axis of symmetry is

see the attached figure to better understand the problem
Answer:
The value of the exponent of the base 10 for this product is -2.
Step-by-step explanation:

Now, in order to represent this number in scientific notation, we need to reduce the coefficient 18.166 to a coefficient larger or equal to 1 and smaller strictly than 10, by using division or multiplications by powers of 10. In order to reduce it to 1.8166, we need to divide the original 18.166 by ten so we do the following in order not to change the given number (multiply and divide by ten at the same time):
