Answer:
The range is -6, 4 , 12.
Step-by-step explanation:
If the domain is -4,0,5, x can only be -4 or 0 or 5.
Substitute each of these x-values into the equation 12x+6y=24. Then isolate to find the possible values of x.
Sub x for -4
12x+6y=24
12(-4)+6y=24
-48+6y=24
6y = 72
y = 12
Sub x for 0
12x+6y=24
12(0)+6y=24
6y = 24
y = 4
Sub x for 5
12x+6y=24
12(5)+6y=24
60 + 6y = 24
6y = -36
y = -6
The possible values of y are -6, 4 ,12 which is the range.
In set notation: R = {y|y=-6,4,12}
Dividing the parallelogram in half and applying trigonometry is the easiest solution for me.
<h3>
Answer: Associative Property</h3>
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Explanation:
The given equation is in the form
a + (b+c) = (a+b) + c
where,
The associative property of addition is what specifically is being applied. There's a multiplication version of this property as well. The associative property is the idea where we can move parenthesis around to group terms in different ways, and still get the same result regardless of what we did with the parenthesis.
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The associative property only works with addition and multiplication. Something like subtraction will be a different story
Eg: 1-(2-3) is different from (1-2)-3, so a-(b-c) is not the same as (a-b)-c
