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bekas [8.4K]
3 years ago
6

Explain why (2 + 3i)(2 – 3i) is a REAL number.

Mathematics
1 answer:
gregori [183]3 years ago
3 0

Answer: Complex Number, Real Part, Imaginary Part. 3 + 2i, 3, 2. 5, 5, 0, Purely Real. −6i, 0, − ... Example: add the complex numbers 3 + 5i and 4 − 3i ... Example: (3 + 2i)(1 + 7i) = (3×1 − 2×7) + (3×7 + 2×1)i = −11 + 23i. Why Does That Rule Work

We used the distributive property to multiply a real number by a complex number.(2 − 16i) = (5 − i)(a + bi) = 5a + 5bi −ai + b = (5a + b) +

Step-by-step explanation:

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Step-by-step explanation:

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The bottom part of this block is a rectangular prism. The top part is a square pyramid. You want to cover the block entirely wit
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Answer:

Total paper required = 165 cm²

Step-by-step explanation:

Paper required to cover the entire block = (Surface area of the prism at the base - area of the top of the prism) + Lateral surface area of the pyramid

Surface area of the rectangular prism = 2(lb + bh + hl)

(here l, b, h are the length, width and height respectively)

                                                               = 2(5×5 + 5×4 + 4×5)

                                                               = 2(25 + 20 + 20)

                                                               = 2×65

                                                               = 130 cm²

Area of the top of the prism = (side)²

                                              = 5²

                                              = 25 cm²

Lateral area of the square pyramid = 4 × Area of one lateral side

                                                          = 4 × [\frac{1}{2}(\text{Base})(\text{Height})]

                                                          = 4 × [\frac{1}{2}(5)(6)]

                                                          = 60 cm²

Total paper required = (130 - 25) + 60

                                   = 105 + 60

                                   = 165 cm²

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