Darell parks his car in a parking garage. The garage charges a certain amount for the first hour and an hourly rate for each add
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Answer:
M = (-3,1)
Step-by-step explanation:
We need to find the midpoint M of the line segment joining the points
A = (-5,7) and B = (-1, -5)
The mid point of the line segment joining the points (x₁,y₁) and (x₂,y₂) is given by :
Hence, the required point is (-3,1).
The value of x<em> </em>in the polynomial fraction 3/((x-4)•(x-7)) + 6/((x-7)•(x-13)) + 15/((x-13)•(x-28)) - 1/(x-28) = -1/20 is <em>x </em>= 24
<h3>How can the polynomial with fractions be simplified to find<em> </em><em>x</em>?</h3>The given equation is presented as follows;
Factoring the common denominator, we have;
Simplifying the numerator of the right hand side using a graphing calculator, we get;
By expanding and collecting, the terms of the numerator gives;
-(x³ - 48•x + 651•x - 2548)
Given that the terms of the numerator have several factors in common, we get;
-(x³ - 48•x + 651•x - 2548) = -(x-7)•(x-28)•(x-13)
Which gives;
Which gives;
x - 4 = 20
Therefore;
- x = 20 + 4 = 24
Learn more about polynomials with fractions here:
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