Mathematics: One-third of a number x is equal to 22 less than the number. write and solve an equation to find the number.

The radius is 5Step-by-step explanation:let us re-write the given the expression properly as it is not well formattedwe need to express the above equation in standard formNow comparing this with the general equation of a circle which is we can say that the radius is 5...

One-third of a number x is equal to 22 less than the

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carleygalloway103

10.06.2020

Mathematics

The radius is 5

Step-by-step explanation:

let us re-write the given the expression properly as it is not well formatted

x^2 + y^2 - 18x - 14y + 105 = 0

we need to express the above equation in standard form

$x^2 + y^2 - 18x - 14y = -105\\\\ (x^2-18x) +(y^2-14y)= -105\\\\ (x^2-18x+81) +(y^2-14y+49)= -105+81+49\\\\ (x+9)^2+(x+7)^2= 25\\\\ (x-(9))^2+(x-(7))^2= 5^2$

Now comparing this with the general equation of a circle which is

(x-h)^2+(x-k)^2= r^2

we can say that the radius is 5

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One-third of a number x is equal to 22 less than the number. write and solve an equation to find the number.

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