Answer:
Step-by-step explanation:
28. Area of the circle = π where r is the radius of the circle.
Given diameter = 14m, therefore radius = = 7m
Now area of the circle = 49 or = 49 * 3.14 * 3.14 = 483.12
29. Volume of cylinder = πh = π*
* 3 = 6.75π cu. feet or 21.195 cu. feet
30. A ball resembles a sphere. Volume of the sphere =
Given diameter = 30inches; Therefore, radius = 15 inches
Now, Volume of the ball = = 4500π cu. inches or 14310 cu.inches
Answer:
The solution for f(x) = g(x) are;
x = 1 and x = -1
Step-by-step explanation:
The given equations for the functions, g(x) are;
g(x) = 2 + x
The solution for f(x) = g(x), is given by equating the equations of the two functions as follows;
When f(x) = g(x), we have;
By cross multiplication, we have;
1 + 2·x = x × (2 + x) = 2·x + x²
∴ x² + 2·x - 2·x - 1 = 0
x² - 1 = 0
(x - 1)·(x + 1) = 0
x = 1, or x = -1
f(x) = g(x) = 2 + 1 = 3, or 2 - 1 = 1
Therefore, the solution for f(x) = g(x) are;
f(x) = g(x) = 3 or 1 where x = 1 and x = -1.