Mathematics, 05.04.2020 02:16 batmanmarie2004

The equation of a circle is given below (x+9)^2+(y-46)^2=123

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The center of the circle is (-9, 46), radius is 11.09053 and the diameter is 22.18, if the equation of circle is $(x+9)^{2} +(y-46)^{2}= 123$ .

Step-by-step explanation:

The given is,

$(x+9)^{2} +(y-46)^{2}= 123$

Step:1

Equation of circle is,

$(x-h)^{2} +(y-k)^{2}= r^{2}$ ...................(1)

Where,

(h, k) - Center of circle

r - Radius of circle

From given,

$(x+9)^{2} +(y-46)^{2}= 123$ ...............(2)

Comparing equation (1) and equation (2),

Center - (h, k) = (-9, 46)

$r^{2} = 123$

Take square root on both sides,

$r = \sqrt{123}$

= 11.09053

r ≅ 11.09053

Formula for diameter,

d =2r

Substitute the value of r,

= (2)(11.09053)

=22.18

diameter, d = 22.18

Result:

The center of the circle is (-9, 46), radius is 11.09053 and the diameter is 22.18, if the equation of circle is $(x+9)^{2} +(y-46)^{2}= 123$ .

Answer from: Quest

Where is your question?
Max points i can ! it’s in math because i trust the math people more.

Answer from: Quest

step-by-step explanation:

divide the cost of the total of sodas you bought by the cost of one soda, for example:

$24.57 divided by $1.89 is 13 which means you bought 13 sodas

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