After modelling the mathematical statement and solving its equivalent mathematical relation, we get x = -36.
<h3>What is Equation Modelling?</h3>
Equation modelling is the process of writing a given mathematical statement in the form of a numeric mathematical expression taking into considerations the operations, constants and other variables.
Given in the question is a number such that twice the difference of a number and 9 is equal to three times the sum of the number and 6.
Assume that the number is x. Now, we will model the equation and solve for x. According to the question, the following mathematical relation represents the statement-
2(x - 9) = 3(x + 6)
2x - 18 = 3x + 18
x = - 36
Therefore, the number is -36.
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Answer: (x=+17)
Step-by-step explanation:
x+35=3x+1
We move all terms to the left:
x+35-(3x+1)=0
We get rid of parentheses
x-3x-1+35=0
We add all the numbers together, and all the variables
-2x+34=0
We move all terms containing x to the left, all other terms to the right
-2x=-34
x=-34/-2
x=+17
The lines never intersect or touch should be the answer.
Hope this helps/works.
Answer:
Circumference= 
Step-by-step explanation:
Diameter of the circle= 14 feet
Radius of the circle= 14/2= 7 feet
Circumference of the circle= 
As, 
Circumference:
The circumference of the circle with the radius= 7 feet is
C is the correct answer. using the equation (y-y1)=m(x-x1)
