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anonymous
 5 years ago
Can someone help me review the distance formula and how to calculate a midpoint?
anonymous
 5 years ago
Can someone help me review the distance formula and how to calculate a midpoint?

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok, sure...do you have any points to work with?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Hold on and I'll get a few my teacher gave me to work with

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok, good start. so draw it on a graph first

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0you need to find the other point, let's call it P...

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Ok i have the graph drawn

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0nice, so what is the midpoint formula?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0(X1+x2)/2 ; (Y1+y2)/ 2

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok cool, so you have W:(3, 12), and you have the midpoint...so M=(2,1)...right so use the formulas. let's look at (x1+x2)/2

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0we have that \[2 = (x1 + x2) / 2]\, and that x1 = the xcoordinate from W

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0x1 = 3, x2 = ? > 2 = ( 3 + x2 )/2...solve for x2

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0this would be the xcoordinate for the point P we made up

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0hey, you can refresh the page when it gets stuck ;)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok.. I was freaking there for a sec

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0the xcoordinate for W is 3, so you say x2 = 2, let's put that back in the Midpoint equation for X: => so we have 3 from W and now we have 2 from x2 , this is (3 + 2) = 1, then 1/2 but the goal is 2

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0So this is how I got 2 for an answer 2=(3+X2)/2 3 3 (1)=X2/2 x2 x2 2= X2

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so you should multiply both sides by 2 1. 2 = ( 3 + x2 ) /2 2. Multiply both sides by 2 (to get ride of the 2 on the right side) 2*2 = ( 3 + x2 ) /2 *2 = 4 = (3 +x2) 3. now we have [ 4 = (3 + x2) ], solve for x2 get x2 = 1

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Oh... okay. I didn't know to do that.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0you skipped ahead and subtracted 3 from both sides, but 3 is in the parantheses. it's like we can get the 3 because the whole thing ( 3 + x2 ) is being divided by 2, so the equation actually is 3/2 + x2/2

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0you want to try the same process to find y?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Alright.. Thanks for telling me that, my math teacher thought it was okay not to tell us that. And if you want too.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yes, let's solve for the ycoordinate of P...we have P = ( x2, y2 ) > P = ( 1, y2 )

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so you can look at your graph, and find 1 on the xaxis...now you're half way there to finding where P actually is

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok, so you're stuck at x=1, now you can only move up or down, changing y, so you have M on the graph and W on the graph, so you can make a guess at where P is just by checking out the graph...

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Is it possible to use the slope intercept to find Y? or would that just add confusion?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0you could, but you have a simple midpoint equation to find y... (y1 + y2) /2 = 1, with y1=12, so ( 12 + y2 ) /2 = 1...solve it!

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I ended up getting 14

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0what are your steps? remember that you have to multiply by 2 here before dealing with 12

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0(12 + Y2)/2=1 *2 *2 (12 + y2)= 2 +12 +12 Y2= 14

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ah, if you have 12 to both sides, you actually have (24 + y2) = 14...so you should add 12 to both sides, to get y2 = 2 + 12 = 10

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0the goal was to get rid of 12 on the left side, but you can't just get rid of it, you have to keep the relationship that you already have....so if you get rid of 12 on the left side by adding 12 (thus getting 0), you have to do the same thing to the right side or else you've changed the relationship...it's all about find ways to reduce the problem

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0right, so what are the coordinates of our point P?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Okay, so the 2 we divided by is still on the right side of the equal sign?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0right, you multiplied each side by 2 to get rid of the /2 on (y1 + y2), that would make the right side (1) * (2) = 2

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0sorry, :(, I have to go, but I will be back in 1520minutes

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0once you get the midpoint stuff down, you can work on the the distance formula, which is: \[d = \sqrt{ (x2  x1)^2 + (y2  y1)^2 }\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0all right, are you finished with midpoint stuff?
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