Indicate which property is illustrated in Step 5.
Step 5: =(4+4)x+(9+9)
A. arithmetic fact
B. associative
C. distributive
D. commutative
i think it's a, but not sure
without knowing step 4, it's hard to say. Both distributive and associative properties are expressed.
I doubt very much that it is a fact, as it's just an expression, with no assertion that it is true.
12+(-12+9x)-3x+5
In Step 5: =(4+4)x+(9+9), the property illustrated is the distributive property. The distributive property states that for any numbers a, b, and c, a(b+c) = ab + ac.
To determine which property is illustrated in Step 5, let's break down the equation:
Step 5: =(4+4)x+(9+9)
In this step, we have the following terms:
- (4+4): This is an arithmetic expression that evaluates to 8.
- (9+9): This is another arithmetic expression that evaluates to 18.
Now let's simplify the equation further:
=(4+4)x+(9+9)
=8x+18
Based on the simplified equation, we can see that the numbers 8 and 18 are being multiplied by another term (x). In this case, the property being illustrated in Step 5 is the distributive property.
Therefore, the correct answer is C. distributive.