Answer:
Step-by-step explanation:
The problem solver "completed the square." He or she took half of the coefficient of x and squared the result, and then added this square and subtracted this square to/from both sides of the equation.
Answer:
- 11x - 2
Step-by-step explanation:
note that (f + g)(x) = f(x) + g(x)
f(x) + g(x)
= 2x + 1 - 13x - 3 ← collect like terms
= - 11x - 2
Answer:
Radius=12cm
Diameter=24cm
Step-by-step explanation:
The diameter is the full length of the circle through the middle (which is shown in the picture as 24cm).
The radius is half of the diameter.
Answer:
The surface area of the prism is 72 square units.
Step-by-step explanation:
In order to calculate the surface area of the prism we must calculate the area of each face of the prism. To better visualize it we can look at the picture below. We must calculate the area of every face in the picture, so we have:
surface area = 2*[(1/2)*3*4] + 3*5 + 4*5 + 5*5
surface area = 12 + 15 + 20 + 25
surface area = 72 square units