For this case we have that the volume of the figure is composed of the volume of a prism and the volume of a pyramid:
The volume of the prism is given by:
Where:
: It is the area of the base
h: It's the height
Substituting:
The volume of the pyramid is given by:
Where:
It is the area of the base
h: It's the height
Substituting:
We add and we have:
ANswer:
Option D
We need to graph this equation:
Its solutions are the points through which it graph passes. Since it's a linear equation its graph is a straight line and we only need two of its points to draw it. But before graphing let's re-write the equation. We can substract 16x from both sides:
And we divide both sides by 2:
So now with this equation if we pick two random x values we'll get their corresponding y values. This way we'll find two points that are part of the graph which is the line that passes through both. We can begin with x=0:
So the first point is (0,150). Then we can take x=10 and we get:
So the second point is (10,70). Then the graph is the line that passes through points (0,150) and (10,70). In order to represent it
The value of q(x) is
The value of r(x) is
Explanation:
The given expression is
We need to rewrite the expression in the form of
Simplifying the expression, we get,
Separating the fractions, we have,
-----------(1)
Now, we shall further simplify the term , we get,
Common out 5 from the numerator, we have,
Substituting the value in the equation(1), we get,
Thus, the expression is in the form of
Hence, we have,
and