What is LN? The image consists of a number line labelled from negative 4 to positive 16 in the interval of two. Points L, M and
1 answer:
<h3>Answer: A) 14</h3>
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Explanation:
Let's add point P at the location 0 on the number line.
The distance from L to P is 2 units. We can say LP = 2, ie segment LP is 2 units long.
Similarly, segment PN is 12 units long
Refer to the diagram below
The segments LP = 2 (red) and PN = 12 (blue) are then added to get the total distance from L to N. That total distance being LN = LP+PN = 2+12 = 14.
Point M is not used at all.
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General Idea:
When simplifying a rational expression, we need to do the below steps:
(i) Factor the Denominator of each fraction
(ii) Identify the Least Common Denominator (It is the product of prime factors involved with its highest exponent)
(iii) Identify and rewrite the equivalent fraction with the desired LCD.
(iv) Once the denominator are same, Combine the numerator.
Applying the concept:
What is the difference x/x^2-16-3/x-4
I assume that you mean to type the expression
Step 1: Factoring
Step 2: Identifying the LCD, we get
Step 3: Rewriting the second fraction by multiplying x+4 on both top and bottom of second fraction so that we get the LCD.
Conclusion:
In factored form the simplified expression
In expanded form the simplified expression