Answer:
5f+6g+12
Step-by-step explanation:
Combine like terms
10f-5f = 5f
6g
8+4 = 12
5f+6g+12
Answer:
Step-by-step explanation:
Answer:
m(u) = -0.25(u +2)² +1 or -0.25u² -u
Step-by-step explanation:
The equation is fairly easily written in vertex form, as the vertex point is on a grid line intersection at (-2, 1). The parabola opens downward, so the scale factor is negative.
The vertical change from the vertex is only a fraction of a unit when u differs from the vertex by 1. It is 1 unit when u differs from the vertex by 2, so the magnitude of the vertical scale factor is 1/2² = 1/4.
Our equation will be of the form ...
m(u) = (vertical scale factor)(u - (horizontal vertex location))² + (vertical vertex location)
For this graph, the equation is ...
m(u) = -0.25(u +2)² +1
or, simplifying, we get ...
m(u) = -0.25u² -u
To solve this problem, we simply use the equation of
volume for hollow cylinders:
V = π h (R^2 – r^2)
where V is volume, h is height = 10, R is outer radius =
8.4/2 = 4.2, r is inner radius = 6/2 = 3
V = π (10) (4.2^2 – 3^2)
<span>V = 86.4π = 271.43 mm^3</span>
