Given:
y is proportional to x.
y=10 and x=8.
To find:
The constant of proportionality and the equation for the proportional relationship.
Solution:
y is proportional to x.
...(i)
Where, k is the constant of proportionality.
Putting y=10 and x=8, we get
Putting 
in (i), we get
Therefore, the contestant of proportionality is and the equation for the proportional relationship is .
3m + 7y + 5 + -1m + -6y = 0
Reorder the terms:5 + 3m + -1m + 7y + -6y = 0
Combine like terms: 3m + -1m = 2m5 + 2m + 7y + -6y = 0
Combine like terms: 7y + -6y = 1y5 + 2m + 1y = 0
Solving5 + 2m + 1y = 0
Solving for variable m'.
Move all terms containing m to the left, all other terms to the right.
Add '-5' to each side of the equation.5 + 2m + -5 + 1y = 0 + -5
Reorder the terms:5 + -5 + 2m + 1y = 0 + -5
Combine like terms: 5 + -5 = 00 + 2m + 1y = 0 + -52m + 1y = 0 + -5
Combine like terms: 0 + -5 = -52m + 1y = -5
Add '-1y' to each side of the equation.2m + 1y + -1y = -5 + -1y
Combine like terms: 1y + -1y = 02m + 0 = -5 + -1y2m = -5 + -1y
Divide each side by '2'.m = -2.5 + -0.5y
Roots m=-2.5 + -0.5y
Simplify the following:3 m + 7 y + 5 - m - 6 y
Grouping like terms, 3 m + 7 y + 5 - m - 6 y = (7 y - 6 y) + (3 m - m) + 5:(7 y - 6 y) + (3 m - m) + 5
7 y - 6 y = y:y + (3 m - m) + 5
3 m - m = 2 m:Answer: y + 2 m + 5
Not sure what you need so I gave you Simplification and Roots.
is an irrational number ⇒ answer B
Step-by-step explanation:
Let us explain the meaning of:
- A rational number is a number that can be written as a fraction
- An irrational number is a number that cannot be expressed as a fraction
Examples:
Rational numbers : 10 , 
, 0.333
Irrational numbers : π , √8 , ∛25 , (2 + √5) , 
∵ 
∵ 3 is a rational number
∴ 
is a rational number
∵
∵ There is no square root of 8
∴ is an irrational number
∵ 0.3333 can be expressed as 
∴ 0.3333 is a rational number
∵ 
is a fraction
∵ All fractions are rational numbers
∴ is a rational number
is an irrational number
Learn more:
You can learn more about real numbers in brainly.com/question/4853862
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