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 2 years ago
In the diagram below of circle C, QR is a diameter, and Q(1, 8) and C(3.5 , 2) are points on a coordinate plane. Find and state the coordinates of point R.
 2 years ago
In the diagram below of circle C, QR is a diameter, and Q(1, 8) and C(3.5 , 2) are points on a coordinate plane. Find and state the coordinates of point R.

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Calcmathlete
 2 years ago
Best ResponseYou've already chosen the best response.1Use the midpoint formula, but work back wards. (3.5, 2) = (x_1 + x_2/2, y_1 + y_2/2) (7, 4) = (1 + x_2, 8 + y_2) (6, 4) = (x_2, y_2) Therefore, (6, 4)

aceace
 2 years ago
Best ResponseYou've already chosen the best response.0(x3.5)^2 + (y2)^2 = 6.5^2

xRAWRRx3
 2 years ago
Best ResponseYou've already chosen the best response.0wait, I'm still confused about how to get it...

Calcmathlete
 2 years ago
Best ResponseYou've already chosen the best response.1What are you confused on?

aceace
 2 years ago
Best ResponseYou've already chosen the best response.0(x the x co ordinate of c)^2 + (y the y co ordinate of C) ^2 = the radius squared

Calcmathlete
 2 years ago
Best ResponseYou've already chosen the best response.1Point C is the midpoint and therefore you can work backwards using the midpoint formula.

Calcmathlete
 2 years ago
Best ResponseYou've already chosen the best response.1@aceace I think you misread the question...

xRAWRRx3
 2 years ago
Best ResponseYou've already chosen the best response.0how do I work backwords though?

aceace
 2 years ago
Best ResponseYou've already chosen the best response.0soory if i mis read the question

Calcmathlete
 2 years ago
Best ResponseYou've already chosen the best response.13.5 = (1 + x)/2 7 = 1 + x x = 6 The x coordinate of R is 6. Then work with y. 2 = (8 + y)/2 4 = 8 + y y = 4 Therefore, the ycoordinate of R is 4. R(6, 4)

Calcmathlete
 2 years ago
Best ResponseYou've already chosen the best response.1Just focus on one of the values. FOr instance, what I did up there is start with x and then y.

Calcmathlete
 2 years ago
Best ResponseYou've already chosen the best response.1Do you get it?\[M(x, y) = ((x_{1} + x_{2})/2, (y_{1} + y_{2})/2)\]

xRAWRRx3
 2 years ago
Best ResponseYou've already chosen the best response.0OHHH. Oh I'm sorry, I was really confused from when you meant backwards but I get it now LOL thank you SO much x)

Calcmathlete
 2 years ago
Best ResponseYou've already chosen the best response.1lol. Alright. You're welcome :)
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