The slope of the green line if the lines are perpendicular is -1/4
<h3>Perpendicular lines</h3>
For two lines two be perpendicular, the product of their slope must be -1. Let the slope of the red and green line be m1 and m2.
Given the following
Slope of red line = 4
According the definition
4m2 = -1
m2 = -1/4
Hence the slope of the green line if the lines are perpendicular is -1/4
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The sum of the expression (–x² + x) and (x² – 3x – 1) will be –2x – 1. Then the correct option is D.
<h3>What is Algebra?</h3>
The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
The expression can be written as
(–x² + x) and (x² – 3x – 1)
Then the sum of the expression (–x² + x) and (x² – 3x – 1) will be
(–x² + x) + (x² – 3x – 1) = –2x – 1
Then the correct option is D.
More about the Algebra link is given below.
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The 9 is in the tenths place so it should be 9x1/10. Meaning it would be 100+3x1+9x1/10+3x1,000
Answer:
El período paleolítico corresponde a
de la época prehistórica.
Step-by-step explanation:
En primer lugar, se determina la extensión de tiempo, medida en años, tanto de la época prehistórica como el período paleolítico: (Nótese que el signo negativo significa a.C.)
Época Prehistórica


Período Paleolítico


La fracción de la época prehistórica que corresponde al período paleolítico es:



El período paleolítico corresponde a
de la época prehistórica.
Answer: A person with a score of 6 was more creative than a person with a score of 5
Step-by-step explanation: The Thurstone scale is usually employed in the representation of non-numerical attributes such as creativity, like or dislike, understanding and so on. in a numerical format usually in questionnaires or surveys in other to denote the level of agreement or disagreement with the statement or create ranking. However, despite being represented in numerical format to create distinction and processing. Variables measured cannot be subjected to mathematical calculation.
In the scenario above, creativity is represented in numerical format to show the level of creativity such that individuals with higher numbers are deemed more creative than those with lesser figures. However, it is wrong to Infer that an individual with creativity score of 6 is twice as creative as those with a creativity of 3.
IT just shows that individuals with 6 are more creativity than those with 5 and so on.