Mathematics: What is the equation of a circle with center (6,-4) and radius 6?

What is the equation of a circle with center

AdamWitt

31.12.2021

$(x-6)^{2} + (y+4)^{2}=36$

Step-by-step explanation:

$(x-h)^{2} + (y-k)^{2}=r^{2}$

h=6

k=-4

r=6

$(x-6)^{2} + (y+4)^{2}=6^{2}$

$x^{2} -12x+36 + y^{2} +8y+16=36\\\\x^{2} +y^{2} -12x +8y +52-36 = 0\\\\x^{2} +y^{2} -12x +8y+ 16 = 0$

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gafran

31.12.2021

(x - 6)² + (y + 4)² = 36

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

here (h, k) = (6, - 4) and r = 6, hence

(x - 6)² + (y - (- 4))² = 6², that is

(x - 6)² + (y + 4)² = 36 ← equation of circle

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BackUpAccount

10.03.2020

A Poisson distribution, with λ=5.3

$P(x) = \frac{\lambda^{x} *e^{-\lambda}}{x!}$

Step-by-step explanation:

For this type of random variables, a Poisson distribution is the most adecuate.

If the number of occurrences in ten minutes is 5.3, we can define the parameter λ=5.3 and the probability function as:

$P(x) = \frac{\lambda^{x} *e^{-\lambda}}{x!} =\frac{5.3^{x} *e^{-5.3}}{x!} \approx\frac{0.005*5.3^{x}}{x!}$

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