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Migitmack Group Title

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

  • 2 years ago
  • 2 years ago

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  1. CliffSedge Group Title
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    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?

    • 2 years ago
  2. Migitmack Group Title
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    Can U just tell me I am kinda lazy -_-

    • 2 years ago
  3. CliffSedge Group Title
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    Nope. Stop being lazy. I will draw a picture for you though.

    • 2 years ago
  4. CliffSedge Group Title
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    |dw:1346614090275:dw|

    • 2 years ago
  5. CliffSedge Group Title
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    Your other option is to use the formula: \[M(x,y)=\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right).\]

    • 2 years ago
  6. Migitmack Group Title
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    1 sec

    • 2 years ago
  7. cathyangs Group Title
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    @Migitmack , @CliffSedge is explaining it quite well. Openstudy is supposed to help you study, it's not an answer-generator.

    • 2 years ago
  8. Migitmack Group Title
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    Whats M

    • 2 years ago
  9. CliffSedge Group Title
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    M=midpoint.

    • 2 years ago
  10. Migitmack Group Title
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    I don't understand

    • 2 years ago
  11. Migitmack Group Title
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    i did the formula

    • 2 years ago
  12. Migitmack Group Title
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    but I where is the M

    • 2 years ago
  13. CliffSedge Group Title
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    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 straight-forward) |dw:1346614542836:dw|

    • 2 years ago
  14. Migitmack Group Title
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    I hoy (7.5, -72)?!!!!!?! I think I did something wrong

    • 2 years ago
  15. CliffSedge Group Title
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    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.

    • 2 years ago
  16. Migitmack Group Title
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    Is X 9 or 7?

    • 2 years ago
  17. CliffSedge Group Title
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    The formula would look like this: \[M(3,18)=(\frac{12+x}{2},\frac{-8+y}{2}).\] Handle the x and y equations separately: \[3=\frac{12+x}{2}, \space 18=\frac{-8+y}{2}\]

    • 2 years ago
  18. CliffSedge Group Title
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    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.

    • 2 years ago
  19. Migitmack Group Title
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    For Y its going to be 5?

    • 2 years ago
  20. Migitmack Group Title
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    @CliffSedge

    • 2 years ago
  21. Migitmack Group Title
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    @Cliffsedge yo is it 5 for y?

    • 2 years ago
  22. CliffSedge Group Title
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    Why do you think 5 for y? How did you get that number?

    • 2 years ago
  23. CliffSedge Group Title
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    I'm guessing you're finding the midpoint of (3,18) and (12,-8) but (3,18) *is* the midpoint.

    • 2 years ago
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