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Svetllana [295]
3 years ago
9

Are associative properties true for all integers

Mathematics
1 answer:
faust18 [17]3 years ago
6 0
The answer is "yes" for all integers.

This property is mainly used to either simplify the expressions or to group alike terms together. It is applicable only for operations of addition and multiplication.

Examples:
57x + 94 xy = x (57+94y)
2ab - 6abc = 2ab (1-3c)


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Step-by-step explanation:

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Given: 2x + 11 = 15 Prove: x = 2 Statements Reason 1. 2x + 11 = 15 1. Given 2. 2x = 4 2. 3. X = 2 3. Division Property of Equali
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Answer:

Statements                       Reasons

1. 2x + 11 = 15                    1. Given

2. 2x = 4                            2. Subtraction Property of Equality

3. X = 2                              3. Division Property of Equality

Step-by-step explanation:

An equation can be solved and its solution proven using algebraic theorems and properties. To create a proof, form two columns. Label one side Statements and the other Reasons.

Begin your proof listing the any information given to you. List as the reason - Given.

Then list the next step which here would be to subtract by 11 on both side. The reason is Subtraction Property of Equality. Subtraction is the inverse of addition. Inverse axiom is another acceptable reason.

Then divide both sides by 2. The reason is Division Property of Equality or Inverse axiom once again. See the proof below.

Statements                       Reasons

1. 2x + 11 = 15                    1. Given

2. 2x = 4                            2. Subtraction Property of Equality

3. X = 2                              3. Division Property of Equality

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Sin(A)/a= sin(C)/c, therefore sin(A) would = asin(C)/c= sin(35deg)/2. So, A then = arc sin(sin(35deg)/2)= 16.67 
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3 years ago
Read 2 more answers
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