10/-8-6i a. -14+12i/17 b. -110+60i/157 c. -52+39i/50 d. -4+3i/5

1 answer:

5 0

$\frac{10}{ - 8 - 6i} \times \frac{ - 8 + 6i}{ - 8 + 6i} = \frac{ - 80 - 60i}{( - 8 + 6i)( - 8 - 6i)} \\ = \frac{ - 80 - 60i}{ - 64 - 36 {i}^{2} } = \frac{ - 80 - 60i}{ - 64 + 36} \\ = \frac{ - 20 - 15i}{ - 16 + 9} = \frac{ - 20 - 15i}{ - 7}$

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Describe how to write 7,594,000,000 in scientific notation. Complete the description. First move the decimal point places to the

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Step-by-step explanation:

The given number is 7,594,000,000.

To convert it into scientific notation,

First move the decimal point places to the left to find a number that is greater than or equal to 1 and less than 10. Then multiply by 10 , using an exponent on 10 that equals the number of places you moved the decimal. The exponent is negative if the original no was <1 and the exponent is positive, if the original number was > 1.

In 7,594,000,000, we move the decimal point places to the left before 5. It means we have moved 9 digits left.

Hence, $7,594,000,000=7.59\times 10^9$ is the scientific notation.