Answer:
The area of the shape can be divided into the area of the rectangle, and the area of the semi-circle.
The area of the rectangle can be found by
The area of a semi-circle can be found with the formula where r is the radius.
Since we know the diameter of the semi-circle is 4,
the radius will be 4 ÷ 2 = 2.
Therefore, the area of the semi-circle is
Therefore, the area of the shape is or
(3 decimal places)
Answer: Option D
Step-by-step explanation:
The equation of a line in the form of "slope-interception" has the following form:
Where m is the slope of the line and b is the interception of the line with the y axis.
In this case we know that the line has a slope of -2. Then .
We also know that the line intercepts the axis y at the point (0, 3) therefore we know that:
.
Finally the equation of the line will be:
If we add 2x on both sides of the equation we get:
The answer is the option D