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OlgaM077 [116]
3 years ago
5

Find the equation of the circle that satisfies the given conditions. Radius 2 and center (4, -7)?

Mathematics
1 answer:
podryga [215]3 years ago
6 0
The\ equation\ of\ the\ circle:\\\\(x-a)^2+(y-b)^2=r^2\\\\where\\\\center:(a;\ b)\\\\radius:r


Center:(4;-7);\ radius:r=2\\\\(x-4)^2+(y+7)^2=2^2\\\\(x-4)^2+(y+7)^2=4
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Simplify the expression (7 + 9i)(8 - 10i)
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The simplified expression of (7 + 9i)(8 - 10i) is 146 + 2i

<h3>How to simplify the expression?</h3>

The expression is given as:

(7 + 9i)(8 - 10i)

Expand the bracket

7 * 8 + 9i * 8 -7 * 10i - 9i * 10i

Evaluate the products

56 + 72i -70i - 90(i²)

Evaluate the difference

56 + 2i - 90(i²)

In complex numbers;

i² = -1

So, we have:

56 + 2i - 90(-1)

Evaluate

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Hence, the simplified expression of (7 + 9i)(8 - 10i) is 146 + 2i

Read more about complex numbers at:

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