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2 years ago

Simplify the expression.(1 − 6i) + (5 + i)

Mathematics

2 answers:

Zigmanuir [339]2 years ago

6 0

Answer:

6-5i

Step-by-step explanation:

To solve for this equations we have to group the like terms together

(1-6i)+(5+i)

we will group -6i with +i and positive 1 with positive 5

so we get (-6i+i)+(1+5)

-5i+6 or can be written as 6-5i

-6i+i ( there is actually an imaginary 1 with i and you subtract these 2 numbers because the signs are different and use the signs of the larger number which is 6 and the sign is negative.

kvasek [131]2 years ago

4 0

Answer:

6+-5i

6-5i

Step-by-step explanation:

(1-6i)+(5+i)

We do not need the ( ) since the operation is just addition.

1-6i+5+i

Reorder using commutative property so that like terms are together:

1+5+-6i+i

Use multiplicative identity property:

1+5+-6i+1i

Simplify:

6+-5i

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2 years ago

The price of shares of Nadir Explorations Ltd. fell by 76% in the past year, to the current price of $0.45 per share. In dollars

Gemiola [76]

Answer:

$0.342 ; 34.2 cents

Step-by-step explanation:

Given that:

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3 years ago

Combine like terms: 80 + 50m + 65 + 40m

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Answer:

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Step-by-step explanation:

80 + 50m + 65 + 40m

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2 years ago

Which simplifications of the powers of i are correct? There may be more than one correct answer.

fredd [130]

$\bf i^2=-1\qquad\qquad i^3=-i\qquad \qquad i^4=1 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ i^{22}\implies i^{(4\cdot 5)+2}\implies i^{4\cdot 5}i^2\implies (i^4)^5 i^2\implies 1^5(-1)\implies -1~\dotfill \bigotimes \\\\\\ i^{11}\implies i^{(2\cdot 5)+1}\implies (i^2)^5 i\implies (-1)^5(i)\implies -i~\dotfill \checkmark$

$\bf i^{21}\implies i^{(4\cdot 5)+1}\implies (i^4)^5 i\implies 1^5(i)\implies i~\dotfill \checkmark \\\\\\ i^{12}\implies i^{3\cdot 4}\implies i^3 i^4\implies (-i)(1)\implies -i\dotfill \bigotimes \\\\\\ i^{20}\implies i^{4\cdot 5}\implies (i^4)^5\implies 1~\dotfill \checkmark \\\\\\ i^{26}\implies i^{(4\cdot 6)+2}\implies (i^4)^6 i^2\implies 1^6(-1)\implies -1\dotfill \checkmark \\\\\\ i^{27}\implies i^{(4\cdot 6)+3}\implies (i^4)^6 i^3 \implies 1^6(-i)\implies -i\dotfill \bigotimes$

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2 years ago

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Zina [86]

Answer:

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Step-by-step explanation:

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2 years ago

Simplify the expression.(1 − 6i) + (5 + i)​

Simplify the expression.(1 − 6i) + (5 + i)