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3 years ago

Determine the center of the circle from the equation.

Mathematics

1 answer:

allsm [11]3 years ago

7 0

Answer:

A. (2, -3).

Step-by-step explanation:

The first step is to complete the square on the terms in x and the terms in y:

x² - 4x +4 +y² +6y + 9 =4

= (x - 2)² - 4 + (y + 3)² - 9 + 4 + 9 = 4

= = (x - 2)² + (y + 3)² - 9 + 9 - 4 + 4 = 4

= (x - 2)² - (y + 3)² = 4.

So the centre is at (2, -3).

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3 years ago

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stich3 [128]

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3 years ago

Which equation represents a line that passes through (2,-1/2) and has a slope of 3 ?

Anna11 [10]

Answer:

C. $y + \frac{1}{2} = 3(x - 2)$

Step-by-step explanation:

Given

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$Slope: 3$

Required

Equation of line

Let m represents the slope of the line;

m is calculated as thus

$m = \frac{y - y_1}{x - x_1}$

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By substituting the right values in the formula above;

$m = \frac{y - y_1}{x - x_1}$ becomes

$3 = \frac{y - \frac{-1}{2}}{x - 2}$

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$3 *(x - 2) = \frac{y - \frac{-1}{2}}{x - 2} *(x - 2)$

$3 *(x - 2) = (y - \frac{-1}{2})$

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Reorder

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Hence, the equation that represents the line is $y + \frac{1}{2} = 3(x - 2)$

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3 years ago

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egoroff_w [7]

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