K is the midpoint of AB, if AK = 4x+3 and KB =7x=3 , find the length of AB

Question

asked Sep 8, 2017 228k views

1 Answer

Dveim · Answer 1 · 2017-09-13T09:28:37+0000

I'm assuming you meant to write
7x-3

instead... If so,
AB=22.

Because

is the midpoint of
AB,

must equal
KB.

Set the two equal to each other and solve for

...

$4x+3=7x-3 \\ 4x+6=7x \\ 6=3x \\ x=2$

Now plug

in for

in either

or

.

or

Now we know half of the length of
AB.

Multiplying

by

will give us the full length, which is
22.