The variable x represent the length of rectangle.
<h3>What is Algebra?</h3>
A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Perimeter= 64 units
let the length be x.
So, width = x - 3
So, Perimeter of rectangle = 2 ( l + w)
64 = 2( x+ x -3)
32 = 2x -3
29= 2x
x= 29/2
Hence, the variable x represent the length of rectangle.
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The answer is just 31 + 31 + 25 + 25 = 112.
This is because you can rearrange the lines to make it a rectangle of the same size.
Answer:
Step-by-step explanation:
5 miles + 16 miles = 21 miles
each mile is 2.50
21 x 2.50 = 52.50
trip is 4.50
52.50 + 4.50 = 57
think you have to crawl before you can walk so do the X axis first
Given parameters:
Equation:
(x-4)²=9
Problem, solve the equation by factoring and extracting the root
<u>Solution:</u>
Given equation:
(x-4)²=9
subtract 9 from both sides to equate to zero;
(x-4)² - 9 = 0
(x -4)² - 3² = 0
Now, this is similar to the concept of difference of two squares;
x² - y² = <em>(x + y)(x-y)</em>
Here x = x-4 and y = -3
So input and solve;
(x - 4 -3)(x - 4 -(-3)) = 0
(x - 7)(x - 4+3) = 0
(x -7)(x -1) = 0
S0,
x - 7 = 0 or x-1 = 0
x = 7 or 1
If we extract the square roots;
(x-4)² = 9
√(x-4)² = √9
x - 4 = 3
x = 4 + 3 = 7; this is not the only solution to the problem
So we cannot solve it by extracting the square root.
