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

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CliffSedgeBest ResponseYou've already chosen the best response.0
Could 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?
 one year ago

MigitmackBest ResponseYou've already chosen the best response.0
Can U just tell me I am kinda lazy _
 one year ago

CliffSedgeBest ResponseYou've already chosen the best response.0
Nope. Stop being lazy. I will draw a picture for you though.
 one year ago

CliffSedgeBest ResponseYou've already chosen the best response.0
dw:1346614090275:dw
 one year ago

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

cathyangsBest 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.
 one year ago

MigitmackBest ResponseYou've already chosen the best response.0
but I where is the M
 one year ago

CliffSedgeBest ResponseYou've already chosen the best response.0
You 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
 one year ago

MigitmackBest ResponseYou've already chosen the best response.0
I hoy (7.5, 72)?!!!!!?! I think I did something wrong
 one year ago

CliffSedgeBest ResponseYou've already chosen the best response.0
Just 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.
 one year ago

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

CliffSedgeBest ResponseYou've already chosen the best response.0
The 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.
 one year ago

MigitmackBest ResponseYou've already chosen the best response.0
For Y its going to be 5?
 one year ago

MigitmackBest ResponseYou've already chosen the best response.0
@Cliffsedge yo is it 5 for y?
 one year ago

CliffSedgeBest ResponseYou've already chosen the best response.0
Why do you think 5 for y? How did you get that number?
 one year ago

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