## anonymous 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. anonymous

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

2. anonymous

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

3. anonymous

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

4. anonymous

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

5. anonymous

|dw:1352321643254:dw|

6. anonymous

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

7. anonymous

8. anonymous

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

9. anonymous

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