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
Answer:
c
Step-by-step explanation:
It is 19. because if it’s -8 you add the other 8 so that makes 0 and then there’s 19 left so it’s 19
Answer: 17 percent
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Answer:
y=-2x-7
Step-by-step explanation:
lines are typically written in y=mx+b form, where m is the slope and b is the y intercept
we are given the line y=1/2x-4
perpendicular lines are negative and reciprocal; if the slopes are multiplied together, the result is -1
so to find the slope of the new line, use this formula:
1/2m=-1
multiply by 2
m=-2
so the slope is -2
here's the equation so far, written in y=mx+b form
y=-2x+b
we need to find b
because the line passes through the point (-4,1), we can use it to solve for b
substiute -4 as x and 1 as y
1=-2(-4)+b
1=8+b
-7=b
so b is -7
therefore the line is:
y=-2x-7
Hope this helps! :D