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Effectus [21]
2 years ago
11

2+6i/2-4i = a + bi What is the value of a? What is the value of b?

Mathematics
1 answer:
Talja [164]2 years ago
6 0

\dfrac{2+6i}{2-4i}\\\\\\=\dfrac{2(1+3i)}{2(1-2i)}\\\\\\=\dfrac{1+3i}{1-2i}\\\\\\=\dfrac{(1+3i)(1+2i)}{(1-2i)(1+2i)}\\\\\\=\dfrac{1+2i+3i+6i^2}{1-(2i)^2}\\\\\\=\dfrac{1+5i-6}{1+4}~~~~;[i^2=-1]\\\\\\=\dfrac{5i-5}{5}\\\\\\=\dfrac{5(i-1)}5\\\\=i-1\\\\=-1+i\\\\\text{It is in a form of a +bi so,}~ a = -1~ \text{and}~ b = 1

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The blueprint for the Moreno Moreno​'s living room has a scale of 2 inches equals 7 feet 2 inches=7 feet. The family waThe bluep
lubasha [3.4K]

<u>Corrected Question</u>

The blueprint for the Moreno Moreno​'s living room has a scale of 2 inches equals 7 feet.The family wants to use a scale of 1 inch equals = 6 feet. What is the width of the living room on the new​ blueprint? A rectangle is labeled width = 12 inches.

Answer:

7 Inch

Step-by-step explanation:

The width of the room on the old blueprint = 12 Inches

<u>Scale on the old blueprint: </u>

2 inches = 7 feet.

Therefore: 1 Inch =7/2 feet

12 Inches =12 X 7/2 feet =42 feet

The actual width of the room is 42 feet.

<u>Scale on the new blueprint</u>

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6 feet=1 inch

1 feet =1/6 Inch

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42 feet = 42 x 1/6 Inch =7 Inch

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What is the value of x?
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