Answer:
(A)The area of the square is greater than the area of the rectangle.
(C)The value of x must be greater than 4
(E)The area of the rectangle is 
Step-by-step explanation:
The Square has side lengths of (x - 2) units.
Area of the Square
The rectangle has a length of x units and a width of (x - 4) units.
Area of the Rectangle =
<u>The following statements are true:</u>
(A)The area of the square is greater than the area of the rectangle.
This is because the area of the square is an addition of 4 to the area of the rectangle.
(C)The value of x must be greater than 4
If x is less than or equal to 4, the area of the rectangle will be negative or zero.
(E)The area of the rectangle is
Given that there were 30 bacteria present originally.
a=30
Also given that the number doubles every one hour.
After one hour the count =2×30=60
Since the count doubles every hour it forms a G.P. with r=2
a,ar,ar2........
The count at the end of 2nd hour=ar^2=30×2^2=120
The count at the end of 4th hour=ar^4=30×2^4=480
The count at the end of 8th hour=ar^8n=30×2^8=7680
etc.
The count at the end of n^th hour=ar^n=30×2^n
Also, the equation y=30*(2)^8/1 give the same result y= 7680
<u>3/4</u> = 1/2 + 1/4
<u>5/8</u> = 1/2 + 1/8
<u>7/12</u> = 1/2 + 1/12
Step-by-step explanation:
11.
Area of rectangle = 408 in²
Length = 3x-2 and width = x
The area of a rectangle is given by :
A = lb
(3x-2)x = 408
x = 12 inch and x = -11.33 in
Neglecting negative value,
The width of rectangle = 12 inch
The length of rectangle = 3x-2 = 3(12)-2 = 34 inch
12.
Base of triangle = 2x+2
Height = x
The area of a triangle is given by :
x = 24 cm and x = -25 cm
Neglecting negative value, x = 24 cm
Base = 2x+2 = 2(24)+2 = 50 cm
Hence, this is the required solution.
