When is a relation a function?
1 answer:
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<h3>(8.4 + 10.3) + (–4.1) = 8.4 + (10.3 + (–4.1)) is a example of associative property of addition</h3>
<em><u>Solution:</u></em>
Given that we have to find the associative property of addition
When we add, we can group the numbers in any combination
<em><u>Option A</u></em>
–(18.9 + 3.2) = –18.9 + (–3.2)
Here, negative sign outside the bracket is distributed to terms inside the bracket
This is not a example of associative property
<em><u>Option B</u></em>
–5.5 + 7.9 = 7.9 + (–5.5)
By commutative property of addition,
a + b = b + a
This, is commutative property of addition
<em><u>Option C</u></em>
–17.5 + 0 = –17.5
This is also not a example of associative property
<em><u>Option D</u></em>
(8.4 + 10.3) + (–4.1) = 8.4 + (10.3 + (–4.1))
We can group the numbers in any combination
This is a example of associative property of addition
Option D: is the x-coordinate
Explanation:
It is given that the coordinates of the line segment are A(3,2) and B(6,11).
Since, the line is partitioned by the point C by the ratio AC : BC = 2 : 3
The distance between the x-coordinates is 3 units.
To determine the value of the x-coordinate for point C, let us divide the value of x-coordinate from the ratio divided by the sum of ratio.
The value of x-coordinate from the ratio is 2.
Sum of the ratio is 2 +3 = 5
Thus,
The x - coordinate = value of x-coordinate from the ratio / Sum of ratio = 2/5
Substituting the values, we have,
The x - coordinate of the Point C =
Thus, Option D is the correct answer.