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ayyookyndall
 one year ago
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ayyookyndall
 one year ago
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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Think of the diameter as a line, solve for the midpoint of that line to find the center.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0And the radius is basically the length from the midpoint to the end of the circle, in this case being one of the other coordinates.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The formula would be

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Good luck thats all the information i can give.

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1where are you stuck? are you stuck on the formula given on the page MeowLover17 gave you?

ayyookyndall
 one year ago
Best ResponseYou've already chosen the best response.0Yes, putting it in.

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1P(10,2) and Q(4,6) the x coordinates of each point are 10 and 4 add them up: 10+4 = 6 divide the result by 2: 6/2 = 3 so the x coordinate of the midpoint is x = 3 Do the same for the y coordinates to get the y coordinate of the midpoint

ayyookyndall
 one year ago
Best ResponseYou've already chosen the best response.0Thats it for Part A?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1so that's effectively what this formula \[\LARGE (x_m, y_m) = \left(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right)\] is saying "add up the corresponding coordinates and divide by 2 to get the midpoint "

ayyookyndall
 one year ago
Best ResponseYou've already chosen the best response.0Okay, got it. :)

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1yes the midpoint of P and Q is the center because P and Q lie on the same diameter dw:1432945083421:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1The radius can be found in 2 ways a) find the distance from the midpoint, ie center, to P or Q (pick one) b) find the distance from P to Q, then divide by 2

ayyookyndall
 one year ago
Best ResponseYou've already chosen the best response.0Which one will be easier?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1they're about equal in difficulty since you need to use the distance formula either way

ayyookyndall
 one year ago
Best ResponseYou've already chosen the best response.0I guess lets do A

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1alright, so you can find the distance from the midpoint to P OR find the distance from the midpoint to Q

ayyookyndall
 one year ago
Best ResponseYou've already chosen the best response.0Find the distance from the midpoint to P

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1use the distance formula \[\large d = \sqrt{\left(x_{2}x_{1}\right)^2+\left(y_{2}y_{1}\right)^2}\] to find the distance from the midpoint (3,2) to point P(10,2)

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1(x1,y1) = (3,2) (x2,y2) = (10,2)

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1good, now take the square root of that

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1so the exact distance is \[\Large \sqrt{65}\] notice how it says "If your answer is not an integer, express it in radical form"

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1"radical" is math term for "square root, cube root, fourth root, etc"

ayyookyndall
 one year ago
Best ResponseYou've already chosen the best response.0Did I get it right?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.18.06 is the approximate distance, but they want the exact form

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1yes that's the radius in exact radical form

ayyookyndall
 one year ago
Best ResponseYou've already chosen the best response.0Are we done or is there more?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1they just want the radius, so we're done

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1dw:1432945973861:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1an integer is a whole number (not just any number)

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1example of integers: 3, 22, 5, 8, 0, 157 example of nonintegers: 2.7, 8.5, \(\large \sqrt{15}\), \(\large \pi\)

ayyookyndall
 one year ago
Best ResponseYou've already chosen the best response.0Oh, I understand. Thank you! ;)
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