Answer: 6/8 <;3..?
Step-by-step explanation:
The answer choice which explains that the three segments cannot be used to construct a triangle is; AC + CB < AB.
<h3>Which inequality explains why the three segments cannot be used to construct a triangle?</h3>
Since, It follows from the triangle inequalities theorem that sum of the side lengths of any two sides of a triangle is greater than the length of the third side.
Hence, since the sum of sides AC + CB is less than AB, it follows that the required inequality is; AC + CB < AB.
Read more on triangle inequalities;
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In the given equation, as the value of <em>y</em> increase, the value of <em>x</em> also
increases.
- Yes, 4·y = 16·x is a direct variation
Reasons:
A direct variation is a relationship that exists between two variables. It is
also known as a direct proportion which can be expressed as; y = k·x
Where <em>k</em> is a number
The given equation is 4·y = 16·x
Dividing both sides by 4 gives;
Which gives;
y = 4·x
Comparing the above equation with the equation for a direct variation gives;
y = 4·x
y = k·x
Therefore;
k = 4
The equation, y = 4·x, and therefore, the equation from which it is derived, 4·y = 16·x, is a direct variation.
Learn more about direct variation here:
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Answer:
Step-by-step explanation:
Option C) 4 cubic inches is the volume of the rectangular prism. Step-by-step explanation: It is given that, 108 cubes with an edge length of 1/3 inch are needed to fill a rectangular prism. Therefore, the volume of the rectangular prism is equal to the volume of the 108 cubes needed to fill that rectangular prism.
x = -2
-2 + 2y = -12
add 2 to both sides: 2y = -10
divide by 2 on both sides: y = -5
when x = -2, y = -5
