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Naudiapie
 one year ago
What is the equation of a circle that passes through (2, 0) and has its center at M(4, 0)?
Naudiapie
 one year ago
What is the equation of a circle that passes through (2, 0) and has its center at M(4, 0)?

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0standard form of circle: (x  h)^2 + (y  k)^2 = r^2center is (h , k) and radius is rfor your circle, the center (h , k) is (1 , 2)so it will look like: (x  1)^2 + (y  2)^2 = r^2to find the radius squared, plug in the (x,y) point you know is on the circle  (3 , 4)(3  1)^2 + (4  2)^2 = r^22^2 + 2^2 = 8 = r^2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1437264018410:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok, so we know the standard form of a circle is (x  h) ² + (y  k) ² = r ² and the center is (h , k) and radius is r. Does this make sense so far?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.4How far is it from (4,0) to (2,0) ?

Naudiapie
 one year ago
Best ResponseYou've already chosen the best response.1(2,0) ?? i dont know xD

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.4dw:1437263870646:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.4do you see how they are 2 units apart ? dw:1437263878771:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I'll brb, I have to finish some of my tests

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.4dw:1437264011320:dw

Naudiapie
 one year ago
Best ResponseYou've already chosen the best response.1it makes no sense to me

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.4The general circle equation is this dw:1437264186407:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.4(h,k) is the center r is the radius

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.4we're told that the center is (4,0) so (h,k) = (4,0) meaning that h = 4, k = 0 dw:1437264245046:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.4dw:1437264266650:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.4r = 2 was just found and shown above dw:1437264297767:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.4dw:1437264320072:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.4also notice how \(\Large (y0)^2\) turned into \(\Large y^2\)

Naudiapie
 one year ago
Best ResponseYou've already chosen the best response.1how did you get 2 squared, can you explain that?

Naudiapie
 one year ago
Best ResponseYou've already chosen the best response.1that's what i don't get

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.4well the right side of the general circle equation has \(\Large r^2\) I replaced r with 2 because the radius is r = 2

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.4r = 2 \[\Large r^2 = 2^2\]

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.4dw:1437264515515:dw

Naudiapie
 one year ago
Best ResponseYou've already chosen the best response.1so x  4squared + ysquared = 2squared (aka 4)

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.4yes \[\Large (x4)^2 + y^2 = 4\]

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.4make sure you use parenthesis don't say x4^2 say (x4)^2

Naudiapie
 one year ago
Best ResponseYou've already chosen the best response.1okay thanks a lot , i get it now

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.44^2 means "4 squared"

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0You could also have used the equation of the circle to figure out the radius algebraicly. We knew \[ (x4)^2+y^2=r^2 \]And we knew \((x,y)=(2,0)\) lie in the circle, so \[ (24)^2+0^2=r^2 \\ (2)^2 = r^2 \implies r = 2 \]But since we know \(r\) is positive for it to be a circle, we pick \(r=2\).

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.4you're welcome
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