The equation 5/2 - x + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0 is a quadratic equation
The value of x is 8 or 1
<h3>How to determine the value of x?</h3>
The equation is given as:
5/2 - x + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0
Rewrite as:
-5/x - 2 + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0
Take the LCM
[-5(x + 2) + (x -5)(x- 2)]\[x^2 - 4 + [3x + 8]/[x^2 - 4] = 0
Expand
[-5x - 10 + x^2 - 7x + 10]/[x^2 - 4] + [3x + 8]/[x^2 - 4] = 0
Evaluate the like terms
[x^2 - 12x]/[x^2 - 4] + [3x + 8]/[x^2 - 4 = 0
Multiply through by x^2 - 4
x^2 - 12x+ 3x + 8 = 0
Evaluate the like terms
x^2 -9x + 8 = 0
Expand
x^2 -x - 8x + 8 = 0
Factorize
x(x -1) - 8(x - 1) = 0
Factor out x - 1
(x -8)(x - 1) = 0
Solve for x
x = 8 or x = 1
Hence, the value of x is 8 or 1
Read more about equations at:
brainly.com/question/2972832
Answer: 
<u>Step-by-step explanation:</u>
Answer:
20 miles
Step-by-step explanation:
d miles × (1 h)/(10 miles) = d/10 hours
d miles × (1 h)/(40 miles) = d/40 hours
d/40 = d/10 - 3/2
d = 4d - 60
d = 20 miles
Answer:
The circunference is represented by the equation is 
.
The graph of this function is presented in the attachment.
Step-by-step explanation:
The general equation of the circunferece is defined by the following formula:
(1)
We can determine the value of the coefficients by knowing three distinct points: 
, 
, 
The system of linear equations is:
(2)
(3)
(4)
The solution of this system is: 
, 
, 
.
The circunference is represented by the equation is .
The graph of this function is presented in the attachment.
This is in the lower right corner and is a right triangle. So we use the Area calculation of a right triangle.
<u>ab</u> = <u>(4)(2)</u> The height is given as 4 in and we know the base is 2 in
2 2 We know this because the top right distance is given as 2
8 / 2 = 4 square inches
