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OverLord2011 [107]
3 years ago
8

What is the equation of a circle with its center at (10,−4) and a radius of 2?

Mathematics
1 answer:
Montano1993 [528]3 years ago
6 0

Answer:

The answer to your question is the last option ( (x - 10)² + (y +4)² = 4 )

Step-by-step explanation:

Data

Center = (10, -4)

radius = 2

Formula

                        (x - h)² + (y - k)² = r²

Substitution

h = 10

k = -4

r = 2

                        (x - 10)² + (y +4)² = 2²

Equation

                       (x - 10)² + (y +4)² = 4

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4x-2y=14
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Get just one variable on one side for both equations.

4x - 2y = 14 ⇒ 4x = 2y + 14 ⇒ 4x - 14 = 2y
y = 0.5x - 1 ⇒ x - 2 = 2y

Use the transitive property and then solve for x.

x-2 = 4x-14
12 = 3x
x = 4

<em>Edit: Apprently I didn't use substitution. Oops! Sorry...</em>
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<em>The </em><em>equation </em><em>of </em><em>a </em><em>line </em><em>is </em><em>given </em><em>by </em>

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