Apoint g on a segment on a segment with endpoints f(4, 8) and h(10, 12) partitions the segment in a 3: 4 ratio. find g. you must show all work to receive credit. this is for geometry

Suppose, we are given

two points as

F as (x1, y1)

H as (x2, y2)

assume  it divides  in m/n

we can use formula

now, we are given points as

F=(x1, y1)=(4,8)

H=(x2, y2)=(10,12)

so,

now, we can find  

so, point is

.................Answer

4 and 5)16.97 or 12√2

6)15.59 or 9√3

7)y = 15.59 or 9√3     x =27

8)17.80

i hope this is what you were looking for.

see attached graph