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Mathematics 8 Online
imyoursgirlsgirl:

ss below please help

imyoursgirlsgirl:

Florisalreadytaken:

the formula of the circle is \( (x-a)² + (y-b)² = c² \) we're given \( (x-4)^2+(y-1)^2=1 \) \(1\) is the same as \( 1^2 \) -- nothing changes so we have \( (x-4)^2+(y-1)^2=1^2 \) a is the coordinate for the x acis ; b is the coordinate for the y axis ; c is the radi : \[ (x-a)^2 + (y-b)^2 = c^2 \Rightarrow (x-4)^2+(y-1)^2=1^2 \] so what is a, b, and c?

imyoursgirlsgirl:

what? do you just do 1^2

Florisalreadytaken:

yeah it doesnt indicate anything \( 1 \times 1 = 1 \) right?

imyoursgirlsgirl:

yeah

Florisalreadytaken:

first lets look at a \[ (x-a)^2 \Rightarrow (x-(+4))^2\]so what is a ( the x axis coordinate)?

imyoursgirlsgirl:

im confused wym what is it

Florisalreadytaken:

what is `a` ??? look \[ (x-\color{lightskyblue}a)^2 \Rightarrow (x-(\color{lightskyblue}{+4}))^2 \]

imyoursgirlsgirl:

4

Florisalreadytaken:

sweet! so what is `b`? \[ (y-\color{lightskyblue}b)^2 \Rightarrow (y-(\color{lightskyblue}{+1}))^2 \]

imyoursgirlsgirl:

1

imyoursgirlsgirl:

noooo is not its homework

imyoursgirlsgirl:

god i need to tell my teacher to fix the homework pages

Florisalreadytaken:

yes so \[ x=4 \] \[ y=1 \] radius is left -- we said that radius is c from the main formula right? \[ \color{lightskyblue}c^2=\color{lightskyblue}1^2 \] that said, what is the radius of that circle?

imyoursgirlsgirl:

its just 1

Florisalreadytaken:

yes! so we can see that the center of it is \( (4 , 1) \) and the radi is \( 1 \)

imyoursgirlsgirl:

thx

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