Which pair of expressions is equivalent using the Associative Property of Multiplication? (3 points) 5(3a ⋅ 4) = 15a ⋅ 20 5(3a ⋅
2 answers:
Answer:
5(3a ⋅ 4) = (5 ⋅ 3a) ⋅ 4
Step-by-step explanation:
The Associative Property is applied to two types of operations: addition and multiplication. This property indicates that, when there are three or more terms in these operations, the result does not depend on the way in which the terms are grouped.
In this sense, the associative property for the sum is mathematically given by:
and for the multiplication by:
Now, let:
Using the Associative Property of Multiplication:
Therefore the equivalent expressions are:
5(3a ⋅ 4) = (5 ⋅ 3a) ⋅ 4
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Step-by-step explanation:
An incircle is a circle inside a triangle that touches all three sides of the triangle.
The properties of the mathematical sequence allow us to find that the recurrence term is 1 and the operation for each sequence is
a) Subtraction
b) Addition
c) AdditionSum
d) in this case we have two possibilities
* If we move to the right the addition
* If we move to the left the subtraction
The sequence is a set of elements arranged one after another related by some mathematical relationship. The elements of the sequence are called terms.
The sequences shown can be defined by recurrence relations.
Let's analyze each sequence shown, the ellipsis indicates where the sequence advances.
a) ... -7, -6, -5, -4, -3
We can observe that each term has a difference of one unit; if we subtract 1 from the term to the right, we obtain the following term
-3 -1 = -4
-4 -1 = -5
-7 -1 = -8
Therefore the mathematical operation is the subtraction.
b) ...
In this case we can see more clearly the sequence when writing in this way
each term is found by adding 1 to the current term,
Therefore the mathematical operation is the addition
c)
The recurrence term is unity, with the fact that the sequence extends to the right and to the left the operation is
- To move to the right add 1
-
- To move left subtract 1
Using the properties the mathematical sequence we find that the recurrence term is 1 and the operation for each sequence is
a) Subtraction
b) Sum
c) Sum
d) This case we have two possibilities
- If we move to the right the sum
- If we move to the left we subtract
Learn more here: brainly.com/question/4626313