Brianna's teacher asks her which of these three expressions are equivalent to each other. which is equivalent
1 answer:
Answer:
Please specify what the three expressions are.
Step-by-step explanation:
From what I understand, you need to set the expressions equal to each other. For instance, if one is 2(x-3) and the other is 2x-6, you could write it as:
Then, by evaluating it, you would get:
by distribution over subtraction.
by the additive property of equality
Simplify.
by the reflexive axiom.
Since x will always equal itself, 2(x-3) and 2x-6 are equivalent.
Therefore, if the expressions, once set equal to each other, result in the equation x=x, or any other expression in which one quantity equals itself, the two expressions are equal.
Sorry I could not be of more help, but you did not specify what the expressions were.
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By solving given equations, the value of c is 30.
Given two equations
x + 2y = 10 and
3x + 6y = c
These lines represents the same line for some constant c.
Value of c:
x + 2y = 10-------------(1)
3x + 6y = c-------------(2)
Dividing equation (2) by 3
After solving the above equation, we get
x + 2y = c/3-----------(3)
Remember that a line is written as ax + by = c, in our case, both lines have a =1 and b = 2. Therefore, in orther that the two lines are equal, we need that, 10 = c/3
c = 10 × 3 = 30
c = 30
Therefore,
The value of c is 30.
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