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dalvyx [7]
3 years ago
12

Perform the indicated operations. Write the answer in standard form, a+bi. -4 + 4i / -3-6i

Mathematics
1 answer:
vesna_86 [32]3 years ago
5 0

Answer:

\frac{ - 4  + 4i}{ - 3 - 6i}  \\  \frac{ - 4 + 4i}{ - 3 - 6i}  \times  \frac{ - 3 + 6i}{ - 3 + 6i}  \\  =  \frac{12 - 24i - 12i + 24 {i}^{2} }{ {( - 3)}^{2} -  {(6i)}^{2}  }  \\  =   \frac{ - 12 - 36i}{45}  \\  =  \frac{ - 12}{45}  \frac{ - 36i}{45}  \\ than \: you

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Sec 5A = cosec 7A, prove that A = 7.5°​
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Answer:

see explanation

Step-by-step explanation:

Using the cofunction identity

sec(90 - x)° = cscx° , then

7A = 90 - 5A ( add 5A to both sides )

12A = 90° ( divide both sides by 12 )

A = 7.5°

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What are two rational numbers between -3/4 and -2/3​
Vadim26 [7]

The two rational numbers between -  \frac{3}{4}and -  \frac{2}{3}is -  \frac{32}{48},-  \frac{36}{48}

<h3>How to find the rational numbers between -3/4 and -2/3?</h3>

In the form of p/q, which can be any integer and where q is not equal to 0, is expressed as rational numbers. As a result, rational numbers also contain decimals, whole numbers, integers, and fractions of integers (terminating decimals and recurring decimals).

given that -3/4 and -2/3

now take L.C.M between these two rational numbers is 12.

now multiply -3/4 with 3 both numerator and denominator

-  \frac{3}{4}  \times  \frac{3}{3}  =   - \frac{ 9}{12}

again multiply -9/12 with 4 both numerator and denominator

-  \frac{9}{12}  \times  \frac{4}{4}  =  -  \frac{36}{48}

now multiply -2/3 with 4 both numerator and denominator

-  \frac{2}{3}  \times  \frac{4}{4}  =  -  \frac{8}{12}

again multiply -8/12 with 4 both numerator and denominator

-  \frac{8}{12}  \times  \frac{4}{4}  =  -  \frac{32}{48}

Hence the -36/48 and -32/48 are rational numbers between -3/4 and -2/3

Learn more about rational numbers, refer:

brainly.com/question/12088221

#SPJ9

8 0
1 year ago
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