Mathematics, 14.10.2019 01:30 MallB7168

The equation for the circle is:
x^2+y^2−12x+6y−19=0x2+y2−12x+6y−19= 0 .
what is the center of the circle?

(-6, 3)
(12, -6)
(6, -3)

(-12, 6)

Answers: 3

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Answer from: aangellexith4237

Option (c) is correct.

Center of circle is at (6, -3)

Step-by-step explanation:

Given : The equation of circle is x^2+y^2-12x+6y-19=0

We have to find the center of given circle and choose from the given options.

The standard equation of circle with center (h,k) and radius r is written as

(x-a)^2+(y-b)^2=r^2

Consider the given equation x^2+y^2-12x+6y-19=0

Adding 19 both side, we have,

x^2-12x+y^2+6y=19

Group x and y terms together, we have,

$\left(x^2-12x\right)+\left(y^2+6y\right)=19$

Add both side 36 to make x a perfect square term,

$\left(x^2-12x+36\right)+\left(y^2+6y\right)=19+36$

Using identity (a+b)^2=a^2+b^2+2ab , we have,

$\left(x-6\right)^2+\left(y^2+6y\right)=19+36$

Similarly, for y , adding 9 both side,

$\left(x-6\right)^2+\left(y^2+6y+9\right)=19+36+9$

$\left(x-6\right)^2+\left(y+3\right)^2=64$

rewriting in standard form , we have,

$\left(x-6\right)^2+\left(y-\left(-3\right)\right)^2=8^2$

Thus, Center of circle is at (6, -3)

Option (c) is correct.

Answer from: Quest

step-by-step explanation:

i found the life tables for the year 2012.

life table of males at age 30. probability of dying between ages x and x+1

total population:

29–30 . . . . . . . . . . . . 0.001030

30–31 . . . . . . . . . . . . 0.001061

males:

29–30 . . . . . . . . . . . . 0.001420

30–31 . . . . . . . . . . . . 0.001448

white population

29–30 . . . . . . . . . . . . 0.001005

30–31 . . . . . . . . . . . . 0.001037

white males

29–30 . . . . . . . . . . . . 0.001372

30–31 . . . . . . . . . . . . 0.001399

non hispanic white population

29–30 . . . . . . . . . . . . 0.001083

30–31 . . . . . . . . . . . . 0.001116

non hispanic white males

29–30 . . . . . . . . . . . . 0.001477

30–31 . . . . . . . . . . . . 0.001503

jacob, non hispanic white male. 30 years old.

probability that jacob lives to be 30 years old.

since the given probabilities are probabilities of dying, i think we simply subtract it from 1 to get the probability of living. we will use the probability of non hispanic white male.

probability of living to be 30 y.o.

29 - 30 : 1 - 0.001477 = 0.998523

30 - 31 : 1 - 0.001503 = 0.998497

Answer from: Quest

are ya tryin to ask something or is this a statement

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The equation for the circle is:
x^2+y^2−12x+6y−19=0x2+y2−12x+6y−19= 0 .
what is the cen...

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