MATHEMATICS MIDDLE SCHOOL

Simplify the given expression below 4/3-2ia. 4/13
b. 16/13
c. 12+8i/13
d. 12-8i/13

Answers

Answer 1

Answer:

The correct answer is $(4)/(3-2i)=(12)/(13)+i(8)/(13)$

Steps:

$\mathrm{Multiply\:by\:the\:conjugate}\:(3+2i)/(3+2i), =(4\left(3+2i\right))/(\left(3-2i\right)\left(3+2i\right))$

$\left(3-2i\right)\left(3+2i\right)=13, =(4\left(3+2i\right))/(13)$

$\mathrm{Rewrite\:}(4\left(3+2i\right))/(13)\mathrm{\:in\:standard\:complex\:form:\:}(12)/(13)+(8)/(13)i$

$=(12)/(13)+(8)/(13)i$

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Answers

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Which sets of numbers are closed under addition?Choose all answers that are correct.

A.
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B.
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Answers

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.............................

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Answers

The answer to the question

The equation y = 55x + 85 describes the amount of money a plumber charges, where y is the total amount he charges and x is the number of hours he works. The table shows the total amount of money an electrician charges.How much does each charge per hour?

Number of hours worked 1 2 4 7
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the plummer charges $___ per hour
the electrician charges $___ per hour

Answers

If you would like to know how much does each charge per hour, you can calculate this using the following steps:

x ... the number of hours
a plumber: y = 55x + 85 = 55 * 1 + 85 = 55 + 85 = $140 per hour
an electrician: y = $115 per hour

The correct result would be: the plumber charges $140 per hour and the electrician charges $115 per hour.

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