Simplify the expression with nested parentheses. 430+ 26+6−33
1 answer:
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Answer:
The dimensions of the newly formed rectangle is length is 41 cm and width is 9 cm.
Step-by-step explanation:
Given,
A 1 meter steel rod is bent into a rectangle.
That means the perimeter of the rectangle is 1 meter.
So, Perimeter =
Let the width of the rectangle be 'x'.
Now According to question, length exceeds quadruple its width by 5 cm.
Hence framing the above sentence in equation form, we get;
Now we use the formula of perimeter of rectangle,
On substituting the values, we get;
Now, we substitute the value of x to get the value of length;
Thus, Width=9 cm Length=41 cm
Hence the dimensions of the newly formed rectangle is length is 41 cm and width is 9 cm.
The value of q(x) is
The value of r(x) is
Explanation:
The given expression is
We need to rewrite the expression in the form of
Simplifying the expression, we get,
Separating the fractions, we have,
-----------(1)
Now, we shall further simplify the term , we get,
Common out 5 from the numerator, we have,
Substituting the value in the equation(1), we get,
Thus, the expression is in the form of
Hence, we have,
and