The following diagram shows part of the graph of the function f(x)= -12x + 26 and g(x) = -(1/5) ^ -x + 2 + 3 what are the soluti
ons of the equation -12 x + 26 = -(1/5) -x + 2 + 3
A. x = -22 and x = 3
B. x = 2 and x = 3
C. x = 2 and x = -22
D. x = 2 and x = 4
A. x = -22 and x = 3
B. x = 2 and x = 3
C. x = 2 and x = -22
D. x = 2 and x = 4
1 answer:
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Option D:
The approximate area of the figure is 109.6 square feet.
Solution:
The figure is splitted into three shapes.
One is rectangle and the other two is semi-circles.
Diameter of the semi-circle = 5 feet
Radius of the semi-circle = 5 ÷ 2 = 2.5 feet
Area of the semi-circle =
Area of the semi-circle = 9.8 square feet
Area of 2 semi-circles = 2 × 9.8
Area of 2 semi-circles = 19.6 square feet
Length of the rectangle = 18 feet
Width of the rectangle = 5 feet
Area of the rectangle = length × width
= 18 × 5
Area of the rectangle = 90 square feet
Area of the figure = Area of 2 semi-circles + Area of the rectangle
= 19.6 square feet + 90 square feet
= 109.6 square feet
The approximate area of the figure is 109.6 square feet.
Hence Option D is the correct answer.