The area of the shaded region is going to be the area of the rectangle minus the area of the square.
Area of a rectangle is L * W.
A = L * W
A = (x + 10)(2x + 5)
A = x(2x + 5) + 10(2x + 5)
A = 2x^2 + 5x + 20x + 50
A = 2x^2 + 25x + 50 .....this is the area of the rectangle
area of a square is : A = a^2...where a is one side
A = (x + 1)^2
A = (x + 1)(x + 1)
A = x(x + 1) + 1(x + 1)
A = x^2 + x + x + 1
A = x^2 + 2x + 1
now we subtract the area of the square from the area of the rectangle to get the area of the shaded region.
2x^2 + 25x + 50 - (x^2 + 2x + 1) =
2x^2 + 25x + 50 - x^2 - 2x - 1 =
x^2 + 23x + 49 <== the area of the shaded region
Answer:
16
Step-by-step explanation:
The mean of a group of values is calculated as
mean = 
Given 5 numbers with a mean of 12, then
= 12 ( multiply both sides by 5 )
sum = 60
let the number removed be x , then
= 11 ( multiply both sides by 4 )
60 - x = 44 ( subtract 60 from both sides )
- x = - 16 ( multiply both sides by - 1 )
x = 16
The number removed was 16
The answer is a total of 9 hours
Answer:
A (4,6)
ok im going to go through this step by step
4(4)=3(6)-2
16=18-2
16=16 (true solution)
18=3(4)+(6)
18=12+6
18=18 (true solution)
