2 years ago

HELPPPPPPPPPPPPPPPPP

Mathematics

1 answer:

Elena L [17]2 years ago

4 0

Answer:

11/ and 3 and 1

Step-by-step explanation:

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HELP ME Using the following equation, complete the square and find the center and radius of the circle:

IrinaK [193]

Answer: $(-2,3)$ , $r=5\ \text{units}$

Step-by-step explanation:

Given

the equation is $x^2+y^2+4x-6y-12=0$

completing the square

$\Rightarrow (x^2+2\times 2\times x+4-4)+(y^2-2\times3\times y+9-9)-12=0\\\Rightarrow (x^2+2\times 2\times x+4)+(y^2-2\times3\times y+9)-12-4-9=0\\\Rightarrow (x+2)^2+(y-3)^2=25\\\Rightarrow (x+2)^2+(y-3)^2=5^2\\\Rightarrow (x-(-2))^2+(y-3)^2=5^2$

Thus, the center of the circle is $(-2,3)$ and radius is $r=5\ \text{units}$

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3 years ago

\log_{4} x + \log_{4} (x+5) = 6

irina1246 [14]

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3 years ago

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KengaRu [80]

Answer:

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Step-by-step explanation:

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2 years ago

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