Answer:
The graph is shifted 1 unit right
The graph is shifted 2 units down
Step-by-step explanation:
We are given
Parent function as
New function as
we can also write as
We can see that
1 is subtracted to x-value
and 2 is added to y-value
So, f(x) is shifted right by 1 unit
and
f(x) is shifted up by 2 unit
The area enclosed by the figure is 4533.48 square meters.
<u>Step-by-step explanation:</u>
Side length of the square = 42m
The semicircle is attached to each side of the square. So the diameter of the semicircle is the length of the square.
Radius of the semicircle = 21m
Area of the square = 42 x 42 = 1764 square meters
Area of 1 semicircle = π(21 x 21) /2
= (3.14) (441) /2
= 1384.74/2
= 692.37 square meters
Area of 4 semicircle = 4 x 692.37
= 2769.48 square meters
Total area = 1764 + 2769.48
= 4533.48 square meters
The area enclosed by the figure is 4533.48 square meters.
By definition, the circumference is given by:
C = 2 * pi * R
Where,
R: Radio
Substituting values we have:
C = 2 * pi * (27/2)
C = 84.82300165 in
Round to the nearest whole number:
C = 85 in
Answer:
The circumference of the wheel is:
B. about 85 inches
