The length of a rectangle is 2 meters longer than the width. If the area is 30 square meters, find the rectangle's dimensions.
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The value of the exponents in simple exponential form is .
The mathematical operation of exponentiation, written as bⁿ, involves the base number (b) and the exponent (or power) number (n). The way to say this word is "b (elevated) to the (power of) n."
- Exponentiation corresponds to repeated base multiplication when n is a positive integer since bⁿ is the outcome of multiplying n bases. The exponent is often displayed to the right of the base as a subscript.
- The phrase "b to the nth power" or simply "b to the nth" is used to refer to bn. Other variations are "b (raised) to the power of n," "the nth power of b," and "b to the power of n" and "b to the nth power,"
The properties of exponents tell us that when the bases are equal then on multiplication the powers are added and on division the powers are subtracted.
Therefore the properties of exponents can be used to find the exponential solutions.
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we have
------> inequality A
The solution of the inequality A is the shaded area below the dotted line
see the attached figure N
------> inequality B
The solution of the inequality A is the shaded area above the dotted line
see the attached figure N
The solution of the system of linear inequalities is the shaded area between the two dotted lines
see the attached figure N
therefore
the answer in the attached figure N
