Answer:
k = 1
Step-by-step explanation:
16 - 2k = 14
- 16 - 16
-2k = -2
-2 -2
k = 1
<span>The area of the triangle with height 12 inches and the base of 5 inches is 30 square inches. The area (A) of a triangle with height, h, and base, b, is: A = h * b / 2. We know that h = 12 in and that b = 5 in. Therefore, the area of this triangle will be: A = 12 in * 5 in / 2 = 60 in^2 / 2 = 30 in^2. The area of the triangle is 30 square inches.</span>
Given:
Kiosk is the combination of a cylinder and a cone.
Diameter of cylinder and cone = 5 m
Height of the cylinder = 3 m
Height of the cone = 2 m
To find:
The volume of the kiosk.
Solution:
We know that the radius is half of the diameter. So,
Radius of cylinder and cone = m
= m
Volume of the cylinder is:
Where, r is the radius and h is the height of the cylinder.
Putting in the above formula, we get
Volume of a cone is:
Where, r is the radius and h is the height of the cone.
Putting in the above formula, we get
The volume of the kiosk is the sum of volume of cylinder and the volume of cone.
Therefore, the volume of the kiosk is 72 cubic meter.
9514 1404 393
Answer:
- f(x) = x
- g(x) = -2x+1
- f(x) -(-g(x)) = -x+1
- f(x) +g(x) = -x+1
- f(x)-(-g(x)) = (f+g)(x) is true for all functions f and g, linear or not
Step-by-step explanation:
We can define a couple of linear functions as ...
f(x) = x
g(x) = -2x+1
Then the reflected function -g(x) is ...
-g(x) = -(-2x +1) = 2x -1
And the difference from f(x) is ...
f(x) -(-g(x)) = x -(2x -1) = -x +1 . . . . f(x) -(-g(x))
We want to compare that to the sum of the functions:
f(x) +g(x) = x +(-2x +1) = -x +1 . . . . f(x) +g(x)
The two versions of the function expression have the same value.
These results are <em>a property of addition</em>, so do not depend on the nature of f(x) or g(x). They will hold for every function.
The answer to the question