Answer:
Length of rectangular strip = 12
area of rectangular strip = 2*12 = 24
Area of square = x^2 = 12^2 = 144
Step-by-step explanation:
Area of square x^2
area of rectangle is given by length * width
Length of rectangular strip = x
width of rectangular strip = 2
area of rectangular strip = length * width = 2*x = 2x
Area of square piece of paper when rectangular strip is taken away from it
= Area of square - area of rectangular strip
= 
It is given that Area of square piece of paper when rectangular strip is taken away from it is 120 square units.
Thus,

Thus,
either x+10 = 0 or x -12= 0
x = -10 or x = 12
but length cannot be negative hence neglecting x = -10
hence value of x is 12.
Hence,
Length of rectangular strip = 12
area of rectangular strip = 2*12 = 24
Area of square = x^2 = 12^2 = 144
Answer:
1r
Step-by-step explanation:
(5r-4)(2r-6r+4)
1(5r-4)+1(2r-6r+4)
5r-4+2r-6r+4
5r+2r-6=1r
1r-4+4
-4+4=0
1r
Answer:
The factors of
is ((x+y)-5)(2x+2y+1)
Step-by-step explanation:
Given polynomial
=>
To Find:
The factors of the polynomial =?
Solution:
Lets assume k = (x+y)
Then
can be written as 
Now by using quadratic formula
k =
where
a= 2
b= -9
c= -5
Substituting the values, we get
k =
k =
k =
k =
k =
k= 
k =
k =


Solving the RHS we get


Substituting k = x+y


Answer:
Step-by-step explanation:
On the first day, Ben (B) starts with 10 tubs and Winston (W) starts with 0 tubs.
After the first day, Ben sells 8 tubs per day while Winston sells 9 tubs per day.
Therefore we can write the following equation: (Where d = number of days)
B = 10 + 8d
W = 0 + 9d = 9d
We are told that eventually they will sell the same amount which means
B = W
This means we can say,
10 + 8d = 9d
If we subtract 8d from both sides we get
10 = d
Therefore it will take 10 days for them to sell the same amount of cookie dough.