The formula of a distance between two points:

We have the points (-1, 8) and (5, -2). Substitute:

Answer:
1.
= 
2.
= 
3.
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4.
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Step-by-step explanation:
1. 
Taking LCM of (x+3) and (x+5) which is: (x+3)(x+5)

Prove closure: The value of x≠-3 and x≠-5 because if there values are -3 and -5 then the denominator will be zero.
2. 
Factors of x^2-16 = (x)^2 -(4)^2 = (x-4)(x+4)
Factors of x^2+5x+6 = x^2+3x+2x+6 = x(x+3)+2(x+3) =(x+2)(x+3)
Putting factors

Prove closure: The value of x≠-2 and x≠4 because if there values are -2 and 4 then the denominator will be zero.
3. 
Factors of x^2-9 = (x)^2-(3)^2 = (x-3)(x+3)
Factors of x^2-5x+6 = x^2-2x-3x+6 = x(x-2)+3(x-2) =(x-2)(x+3)
Putting factors

Taking LCM of (x-3)(x+3) and (x-2)(x+3) we get (x-3)(x+3)(x-2)


Prove closure: The value of x≠3 and x≠-3 and x≠2 because if there values are -3,3 and 2 then the denominator will be zero.
4. 
Factors of x^2-5x+6 = x^2-3x-2x+6 = x(x-3)-2(x-3) = (x-2)(x-3)
Factors of x^2-16 = (x)^2 -(4)^2 = (x-4)(x+4)

Converting ÷ sign into multiplication we will take reciprocal of the second term

Prove Closure: The value of x≠2 and x≠4 because if there values are 2 and 4 then the denominator will be zero.
Equation 1) 10x + 2y = 30
Equation 2) 4x + y = 4
Multiply all of equation 2 by 2.
2) 2(4x + y = 4)
2) 8x + 2y = 8
1) 10x + 2y = 30
Subtract equations from each other.
-2x = -22
Divide both sides by -2.
x = -22/-2
x = 11
B) x = 11
~Hope I helped!~
Answer:
15$
Step-by-step explanation:
Okey so first we establish that 25 is 100%
Matthew gets 60%
First we find 10% by dividing both sides by 10
2.5 = 10%
Then we times these numbers by 6 to find 60%
<u>60% = 15</u>
Matthew will earn <u>15$</u>
Luke will earn 10$