Answer:
Each dimension increased by 3 ft.
Step-by-step explanation:
Area of the original rectangle = 4 * 6 = 24 square feet
Increased dimension = x ft
New length = 6 + x
New width = 4 +x
New area = (6 + x)(4 +x) {Use FOIL method}
= 6*4 + 6*x + x*4 + x*x
= 24 + 6x + 4x + x²
= x² + 10x + 24
New area = 24 + 39
x² + 10x + 24 = 63
x² +10x + 24 - 63 = 0
x² + 10x - 39 = 0
x² + 13x - 3x - 3*13 = 0
x (x + 13) - 3(x + 13) = 0
(x + 13)(x -3) = 0 {Ignore x + 13, as it gives negative value}
x - 3 = 0
x = 3
Answer:
x = 5/3 x= -1
Step-by-step explanation:
|3x-1|=4
There are two solutions to the absolute value equation, one positive and one negative
3x-1 =4 and 3x-1=-4
Add 1 to each side
3x-1+1 = 4+1 3x-1+1 = -4+1
3x=5 3x = -3
Divide by 3
3x/3 = 5/3 3x/3 = -3/3
x = 5/3 x= -1
Answer: i am not sure with the answer but need point pls help
Step-by-step explanation:
Answer:
The value of the sum is: 
.
Step-by-step explanation:
Given: 
.
Taking 
common outside from the denominator, we have:
We have the following theorem.
If 
is integrable on [0, 1] then 
.
Now, let 
.
Therefore the summation becomes
Hence, the sum is 
/4.
