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Nikitich [7]
2 years ago
10

Simplify the expression to a + bi'form: (1 - 5i)(5 +6i)

Mathematics
2 answers:
lions [1.4K]2 years ago
7 0

(1 - 5i)(5 + 6i) \\  = 5 + 6i - 25i - 30 {i}^{2}  \\  = 5 - 19i + 30 \\  = 35 - 19i

I hope I helped you^_^

Nady [450]2 years ago
5 0

Answer:

35-19i

Step-by-step explanation:

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

5-25i+6i-30i^2 where i^2=-1

5-25i+6i-30(-1)

5-19i+30

5+30-19i

35-19i

Please mark me as Brainliest if you are satisfied with the answer.

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<h3>Given :-</h3>

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<h3>To Find :-</h3>

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<h3>Solution :-</h3>

☼︎ <u>Radius of the Circle</u>;

<h3>Using Formula:</h3>

\\ \red\bigstar {\underline{\boxed{\color{springgreen}{\textsf{ \textbf{ \: Area \: of \: circle= \:  \: π \:  r \: ² \: }}}}}} \\\\

<u>Putting values in the formula;</u>

\\  \sf \implies \: Area \:  =  \: \pi \: r \:  ^{2}  \\

\\  \sf \implies \: 616 \:  =  \:\frac{22}{7}  \times  \: r \:  ^{2}  \\

\\  \sf \implies \: 616 \: \times  \: \frac{7}{22}  \:  =  \: \: r \:  ^{2}  \\

\\  \sf \implies \:  \: \frac{ \:  \: 4312 \:  \: }{22}  \:  =  \: \: r \:  ^{2}  \\

\\  \sf \implies \:  \:  \cancel{\frac{ \:  \: 4312 \:  \: }{22}  }\:  =  \: \: r \:  ^{2}  \\

\\  \sf \implies \:  \:   \: 196 \:  \: =  \: \: r \:  ^{2}  \\

\\  \sf \implies \:  \:r \:  ^{2}  =    \: 196 \:  \:   \: \:  \\

\\  \sf \implies \:  \:r \:   =    \sqrt{ \: 196 \:  } \\

\\  \bf \implies \:  \:Radius  \:   =    14 \: cm \\

henceforth, the Radius of a circle is 14 cm ...!!

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well, about A and D, I just plugged the values on the slope formula of

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