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 2 years ago
One endpoint of a segment is (12,8). The midpoint is (3,18). Find the coordinates of the other endpoint.
 2 years ago
One endpoint of a segment is (12,8). The midpoint is (3,18). Find the coordinates of the other endpoint.

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CliffSedge
 2 years ago
Best ResponseYou've already chosen the best response.0Could use the formula, but it's easy enough to just reason through it: What number is the same distance from 3 as 12, and what number is the same distance from 18 as 8?

Migitmack
 2 years ago
Best ResponseYou've already chosen the best response.0Can U just tell me I am kinda lazy _

CliffSedge
 2 years ago
Best ResponseYou've already chosen the best response.0Nope. Stop being lazy. I will draw a picture for you though.

CliffSedge
 2 years ago
Best ResponseYou've already chosen the best response.0dw:1346614090275:dw

CliffSedge
 2 years ago
Best ResponseYou've already chosen the best response.0Your other option is to use the formula: \[M(x,y)=\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right).\]

cathyangs
 2 years ago
Best ResponseYou've already chosen the best response.0@Migitmack , @CliffSedge is explaining it quite well. Openstudy is supposed to help you study, it's not an answergenerator.

CliffSedge
 2 years ago
Best ResponseYou've already chosen the best response.0You have the coordinates for the midpoint and one other point, so rearrange the formula to solve for what you don't know. (If you want to use the formula.. I still think just doing some elementary subtraction is more straightforward) dw:1346614542836:dw

Migitmack
 2 years ago
Best ResponseYou've already chosen the best response.0I hoy (7.5, 72)?!!!!!?! I think I did something wrong

CliffSedge
 2 years ago
Best ResponseYou've already chosen the best response.0Just look at the first picture I drew and ask yourself these questions: 1. 3 is halfway between 12 and what other number? That's your x. 2. 18 is halfway between 8 and what other number? That's your y.

CliffSedge
 2 years ago
Best ResponseYou've already chosen the best response.0The formula would look like this: \[M(3,18)=(\frac{12+x}{2},\frac{8+y}{2}).\] Handle the x and y equations separately: \[3=\frac{12+x}{2}, \space 18=\frac{8+y}{2}\]

CliffSedge
 2 years ago
Best ResponseYou've already chosen the best response.0The distance from 3 to 12 is 9, so what number is also 9 units away from 3, but in the other direction? Use the same reasoning for y.

Migitmack
 2 years ago
Best ResponseYou've already chosen the best response.0For Y its going to be 5?

Migitmack
 2 years ago
Best ResponseYou've already chosen the best response.0@Cliffsedge yo is it 5 for y?

CliffSedge
 2 years ago
Best ResponseYou've already chosen the best response.0Why do you think 5 for y? How did you get that number?

CliffSedge
 2 years ago
Best ResponseYou've already chosen the best response.0I'm guessing you're finding the midpoint of (3,18) and (12,8) but (3,18) *is* the midpoint.
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