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likoan [24]
2 years ago
9

Evaluate (6 +2i) / (3-i).

Mathematics
2 answers:
Anuta_ua [19.1K]2 years ago
4 0

Answer:

(6 +2i) / (3-i) = (6+2i)/(3-i) x (3+i)/(3+i) = (6+2i)(3+i) / (3-i)(3+i) = 6(3+i)+2i(3+i) / (3)^2-(i)^2 = 18+6i+6i+2i^2 / 9-i^2 = 18+12i+2i^2 / 9-i^2 = 6+12i+2i^2 / 3-i^2 = 2+12i+2i^2 / 1-i^2 = 2+12i+2 / 1 = 4+12ianswer.

qwelly [4]2 years ago
3 0

Answer:

2(4 + 3i) / 5

Step-by-step explanation:

(6 + 2i) (3 + i) / (3 - i) (3 + i)

=> 18 + 12i + 2i² / 9 - i²

=> 16 + 12i / 10

=> 8 + 6i / 5

=> 2(4 + 3i) / 5

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Find the volume of a cube<br> whose surface area is 150<br> ft2?
Brrunno [24]

Given:

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To Find:

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As here in Question we are given Surface area of cube is 150 sq. feet. So, firstly we have find the side of edge of cube. Let 'a' be the edge of the cube

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\: \: \: \: \dashrightarrow \sf \: \: \: \: Surface  \: area_{(Cube)} = 6a^2  \\  \\

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\: \: \: \: \dashrightarrow \sf \: \: \: \: 150 = 6a^2  \\  \\ \: \: \: \: \dashrightarrow \sf \: \: \: \:   \frac{150}{6}   =  {a}^{2}  \\  \\ \: \: \: \: \dashrightarrow \sf \: \: \: \: 25 =  {a}^{2}  \\  \\ \: \: \: \: \dashrightarrow \sf \: \: \: \:  \sqrt{25}  = a \\  \\ \: \: \: \: \dashrightarrow \sf \: \: \: \: { \underline{ \boxed{ \sf{ \pink{5 = a}}}} } \\  \\

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\: \: \: \: \dashrightarrow \sf \: \: \: \: Volume = (edge)^3 \\  \\ \: \: \: \: \dashrightarrow \sf \: \: \: \: Volume = (5)^3 \\  \\ \: \: \: \:\dashrightarrow \sf \: \: \: \: {\underline{\boxed{\sf{\pink{Volume =125 \: {ft}^{3}}}}}}  \\  \\

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