Step-by-step explanation:
REO=RBO=67
BOR=ERO=91
REB=REO-BE0=67-32=35
RYE=180-ERO-REB=180-91-35=54
Answer:
Domain: All the real numbers
Range: All the real numbers
Step-by-step explanation:
The domain of a function is the complete set of possible values of the independent variable 'x'. That is to say, all the values that 'x' can take:
In this case, f(x)= 2x+1, the independent variable has no restrictions. Meaning that 'x' can take all the Real Values. In set notation: x∈ℝ.
The range of a function is the complete set of all possible resulting values of the dependent variable 'y'. In this case, given that the independent variable has no restrictions, the dependent variable 'y' can take any value. So, the range is: y ∈ ( −∞, ∞ ) - All the real numbers.
Answer:
The value of x would be 
Step-by-step explanation:
Given,
The dimension of the cardboard = 10 ft by 10 ft,
∵ After removing four equal squares of size x ( in ft ) from the corners,
The dimension of the resultant box would be,
Length = ( 10 - 2x ) ft,
Width = ( 10 - 2x ) ft,
Height = x ft,
The volume of box,

Differentiating with respect to x,

Again differentiating with respect to x,

For maxima or minima,



By quadratic formula,





For x = 5/3, V'' = negative,
While for x = 5, V'' = Positive,
Hence, the value of x would be 5/3 ft for maximising the volume.
Answer:

Step-by-step explanation:
Hello!
We can use the difference of square method.
<h2>Difference Of Squares (DOS)</h2>
The formula for the DOS is 
It is a simple way to factor polynomials.
The criteria:
- Has to begin and end with a perfect square
- The operation has to be subtraction
<h3>Factor:</h3>
Begins with a perfect square (x² * x²) and ends with a perfect square (4 * 4)
Warning! Watch out, there may be another DOS!
is another DOS
The x² + 4 is not a DOS because the operation is addition.
The final factored form is 
Hypotenuse = 9cm^2+ 13cm^2
=81 +169
=250
= \{250}(find the square root)
=16cm^2(hypotenuse)