If f(x) is a continuous function defined for all real numbers, f(–10) = –2, f(–8) = 5, and f(x) = 0 for one and only one value o
f x, then which of the following could be that x value?
–7
–9
0
2
–7
–9
0
2
1 answer:
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<u>Given</u>:
The given figure consists of a triangle, a rectangle and a half circle.
The base of the triangle is 2 mi.
The height of the triangle is 4 mi.
The length of the rectangle is 9 mi.
The diameter of the half circle is 4 mi.
The radius of the half circle is 2 mi.
We need to determine the area of the enclosed figure.
<u>Area of the triangle:</u>
The area of the triangle can be determined using the formula,
where b is the base and h is the height
Substituting b = 2 and h = 4, we get;
Thus, the area of the triangle is 4 mi²
<u>Area of the rectangle:</u>
The area of the rectangle can be determined using the formula,
Substituting length = 9 mi and width = 4 mi, we get;
Thus, the area of the rectangle is 36 mi²
<u>Area of the half circle:</u>
The area of the half circle can be determined using the formula,
Substituting r = 2, we get;
Thus, the area of the half circle is 6.28 mi²
<u>Area of the enclosed figure:</u>
The area of the entire figure can be determined by adding the area of the triangle, area of rectangle and area of the half circle.
Thus, we have;
Area = Area of triangle + Area of rectangle + Area of half circle
Substituting the values, we get;
Thus, the area of the enclosed figure is 46.28 mi²