4x^2 +20x +25
(2x+5)(2x+5)
The area of the shaded region will be the area of the rectangle minus the area of the white square inside of it:
((x+10)(2x+5)) - ((x+1)(x+1))
First, FOIL both of the areas separately:
(2x^2 + 5x + 20x + 50) - (x^2 + x + x + 1)
Simplify within the parentheses by adding like terms:
(2x^2 + 25x + 50) - (x^2 + 2x + 1)
Now, subtract one equation from the other:
2x^2 + 25x + 50
-x^2 - 2x - 1
= x^2 + 23x + 49
This will be the equation for the area.
Answer:
1. True
2. True
Step-by-step explanation:
Counter clockwise is in the opposite direction that the clock hands move, therefore, both Answers are true.
hope this helped :)
Answer:
Approximately 
Step-by-step explanation:
we know that
The volume of a cylinder (barrel) is equal to

in this problem we have

-----> the radius is half the diameter
substitute

<u>Convert to gallons</u>

Answer:
x^2 - 7x - 1
Step-by-step explanation:
g(x) = x^2– 5x
f(x) = 2x +1
(g - f)(x)
expand to get
gx - fx
Slot in the values
(x^2– 5x) - (2x +1)
expand
x^2 - 5x - 2x - 1
x^2 - 7x - 1