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3 years ago

Simplify the expression.(4+2i)-(1-i)

Mathematics

1 answer:

tester [92]3 years ago

3 0

ANSWER :

6i - (1-i)

Step - by - step explanation:

( 4 + 2i ) - ( 1 - i )

( 4 + 2 × i) - ( 1 - i )

( 6× i ) - ( 1 - i )

= 6i- (1-i)

Hope this helps and pls mark as brainliest :)

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A first number is nine less than a second. The sum of the numbers is 45. Find the numbers.

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The first number is 18 and the second number is 27.

Step-by-step explanation:

Given:

A first number is nine less than a second.

The sum of the numbers is 45.

Now, to find the numbers.

Let the second number be $x.$

And the first number be $x-9.$

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$(x-9)+x=45.$

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If 2y=x³ + 2x², find dy/dx when x=2.

scZoUnD [109]

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Step-by-step explanation:

$\boxed{\textsf{If }y=x^n,\: \textsf{then }\dfrac{\text{d}y}{\text{d}x}=nx^{n-1}}$

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Finally, substitute x = 2 into the differentiated equation:

$\begin{aligned} \implies \dfrac{\text{d}y}{\text{d}x} & =\dfrac{3}{2}(2)^2+2(2)\\\\ & = \dfrac{3}{2}(4)+4\\\\ & = \dfrac{12}{2}+4\\\\ & = 6+4\\\\ & = 10\end{aligned}$

Learn more about differentiation here:

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