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uranmaximum [27]
3 years ago
5

A circle has the equation x2+y2−8x−2y−17=0.

Mathematics
1 answer:
natali 33 [55]3 years ago
5 0

Answer:

A

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Given

x² + y² - 8x - 2y - 17 = 0

Collect the x- terms and the y- terms together and add 17 to both sides

x² - 8x + y² - 2y = 17

Use the method of completing the square on both x and y terms.

add ( half the coefficient of the x/ y terms )² to both sides

x² + 2(- 4)x + 16 + y² + 2(- 1)y + 1 = 17 + 16 + 1

(x - 4)² + (y - 1)² = 34 → A

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3 years ago
If the current in a circuit is 2 +j2 amps and the resistance is 3-j2 ohms, what is the voltage
victus00 [196]

Answer:

The voltage is 10 + 2j volts.

Step-by-step explanation:

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By Ohm's first law, the voltage is the multiplication of the current by the resistance, that is:

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In this question:

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The voltage is 10 + 2j volts.

4 0
4 years ago
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