Answer:
c. 24 is a solution
Step-by-step explanation:
Given equation:
To test the numbers 22, 23, 24, 25 for the solution.
Solution:
In order to test the given number for the solution, we will plugin each number in the unknown variable 
and see if it satisfies the equation.
1) 
Reducing fraction to simplest form by dividing the numerator and denominator by their G.C.F.
The above statement can never be true and hence 22 is not a solution.
2) 
The fractions can no further be reduced.
The statement can never be true and hence 23 is not a solution.
3) 
Reducing fraction to simplest form by dividing the numerator and denominator by their G.C.F.
The above statement is always true and hence 24 is a solution.
4) 
The fractions can no further be reduced.
The statement can never be true and hence 25 is not a solution.
A linear equation is represented as: 
.
The equation of the line is: 
First, we calculate the slope (m) of 
Make y the subject
Divide by 18
In
slope
So, the slope of is:
Since, the line is perpendicular to
The slope of the line is:
So, we have:
The line passes through (4,-2).
So, the equation is:
This gives:
Hence, the linear equation is:
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Answer:
the nearest thousand is 15 000.00
The two enclosures will need three equal fences coming out from the wall and meeting another fence running parallel to the wall. If the fences coming out from the wall are x metres long the parallel fence will be (132 - 3x) metres long.
The area A = x(132 - 3x) = 132x - 3x^2
The derivative of A = zero when 132 - 6x = 0 which means the maximum area is when x = 22m
The maximum area = 22 x (132 - 3 x 22) = 1452 m^2
If you don’t know how to find derivatives then you could sketch the graph of y = x(132 - 3x).
This is an inverted parabola (hill) with x intercepts at 0 and 132/3 = 44.
The maximum point (top of the hill) is halfway between 0 and 44 I.e. 22m
Try any other value for x and the area will be smaller.
Changing from negative to positive
