Answer: X=-7
Step-by-step explanation:
Using PEMDAS;
Step 1: Distribute the "3" in the part of the equation "3(x-2)"
3x - 6
Step 2: Consider the equation as a whole with the newly part of the equation from step 1, as it is a part of the equation
Therefore, re-written as,
3x - 6 + 48 = -3x
Step 3: Evaluate the re-written equation
Using basic mathematics skills, we can evaluate the following,
3x - 6 + 48 = -3x ➡ -6 + 48 = -6x ➡ 42 = -6x ➡ -7 = x
As shown, the answer is x=-7.
Answer:
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Step-by-step explanation:
Answer:

Step-by-step explanation:
Given
Let the three sides be a, b and c
Such that:

Required
Find c such that a, b and c do not form a triangle
To do this, we make use of the following triangle inequality theorem



To get a valid triangle, the above inequalities must be true.
To get an invalid triangle, at least one must not be true.
Substitute: 



The results of the inequality is:
and 
Rewrite as:
and

This means that, the values of c that make a valid triangle are 1 to 9 (inclusive)
Any value outside this range, cannot form a triangle
So, we can say:
, since no options are given