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Rashid [163]
3 years ago
9

Evaluate the imaginary number. Show all of your work for full credit. i^3

Mathematics
2 answers:
olga_2 [115]3 years ago
5 0

\bf i^3\implies i\cdot i\cdot i\implies i^2\cdot i\implies (\sqrt{-1})^2\cdot \sqrt{-1}\implies (-1)\cdot \sqrt{-1}\implies -i

VikaD [51]3 years ago
3 0

Answer:


Step-by-step explanation:

(i)(i)(i)=  -i



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Write the equation of a line that is parallel to the line 2x - 3y = 5 and passes through the point (2, -1)
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Answer:

The equation of the line is 2x - 3y = 7 ⇒ answer A

Step-by-step explanation:

* Lets revise the relation between the parallel lines

- If two lines are equal then their slopes are equal

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- If the slope of the line is m and passing through the point (x1 , y1),

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* Lets solve the problem

- The line is parallel to the line 2x - 3y = 5

∴ the slope of the line = the slope of the line 2x - 3y = 5

- Rearrange the terms of the equation to be in the form

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∵ 2x - 3y = 5 ⇒ subtract 2x from both sides

∴ -3y = 5 - 2x ⇒ divide two sides by -3

∴ y = 5/-3 - 2x/-3 ⇒ y = 2/3 x - 5/3

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* Lets use the rule to find the equation of the line

∵ y - (-1)/x - 2 = 2/3

∴ y + 1/x - 2 = 2/3 ⇒ by using cross multiplication

∴ 3(y + 1) = 2(x - 2) ⇒ open the brackets

∴ 3y + 3 = 2x - 4 ⇒ put x an d y in one side

∴ 2x - 3y = 3 + 4

∴ 2x - 3y = 7

* The equation of the line is 2x - 3y = 7

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