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Delvig [45]
3 years ago
7

If x = a + bi and y = c + di, x × y = y × x.

Mathematics
1 answer:
Cloud [144]3 years ago
8 0
X = a + bi
y = c + di

                                      xy = yx
                   (a + bi)(c + di) = (c + di)(a + bi)
          a(c + di) + bi(c + di) = c(a + bi) + di(a + bi)
a(c) + a(di) + bi(c) + bi(di) = c(a) + c(bi) + di(a) + di(bi)
         ac + adi + bci + bdi² = ac + bci + adi + bdi²
            ac + adi + bci - bd = ac + bci + adi - bd
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Answer: 3y⁴(y² + 5)(y - 1)(y + 1)

<u>Step-by-step explanation:</u>

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A statement which best describes the strength of the correlation, and the causation between the variables is that: D. it is a strong positive correlation, and it is likely causal.

<h3>What is a positive correlation?</h3>

A positive correlation can be defined as a terminology that is used to described a scenario (situation) in which two variables move in the same direction and are in tandem.

This ultimately implies that, a positive correlation exist when two variables have a linear relationship or are in direct proportion. Hence, when one variable increases, the other increases as well, and vice-versa.

By critically observing the scatter plot (see attachment) which models the data in the given table, we can infer and logically deduce that the value on the y-axis (circumference) increases as the value on the x-axis (radius) increases, so this is a strong positive correlation.

Also, we know that there exist a direct relationship between the circumference of a circle and its radius, so this relationship is most likely causal.

In conclusion, a statement which best describes the strength of the correlation, and the causation between the variables is that it's a strong positive correlation, and it is likely causal.

Read more on positive correlation here: brainly.com/question/10644261

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