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kari74 [83]
3 years ago
8

What is a over b = -2

Mathematics
1 answer:
mariarad [96]3 years ago
3 0
A / b = -2

Take note:

to have a quotient with at negative sign, both a & b must have opposites signs. a can be a positive number while b is a negative number or vice versa. If both a and b have the same sign, its quotient will be a positive number.

Let us disregard the sign.
To arrive at the answer of 2, a must be twice the amount of b. meaning a = 2b.

For example: look for a if b is equal to 2.    a = 2(2) ; a = 4.
a / b = 2
4 / 2 = 2
2 = 2

Now, we consider the sign of both numbers. a can be 4 while b can be -2  OR vice versa.

a / b = -2
4 / -2 = -2    or    -4 / 2 = -2



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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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