## Emah 3 years ago Given segment AB with endpoints A(2x, 4y) and B(10, 22), what is the midpoint? A.(2x+5, 4y+11) B.(x+2 ½ , y+5 ½) C.(2x-10, 4y-11) D.(x+5, 2y+11) I know the midpoint formula, but it doesnt seem to work out right. Can someone explain it to me...

1. gaara438125

$\frac{ x1 + x2 }{ 2 }, \frac{ y1 + y2 }{ 2 }$

2. gaara438125

$\frac{ 10 + 2x }{ 2 }, \frac{ 22 + 4y }{ 2 }$ now simplify those fractions

3. Emah

ok thanks. the only thing that confuses me is the variables. but let me try it real fast ...

4. gaara438125

you can look at it like $\frac{ 10 + 2 }{ 2 }$ then just remember to add the x back in on the top

5. Emah

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6. gaara438125

no$\frac{ 10 + 2x }{ 2 } = \frac{ 10 }{ 2 } + \frac{ 2x }{ 2 }$ same with the other side

7. Emah

8. gaara438125

10/2 = 5 2x/2 = x 5 + x is the left side, you do the right side

9. Emah

oops lol i wrote it 2 different ways and i wrote the wrong one on here instead of the one in my notebook.