Question

Line g bisects line segment BC at Point H. BH = 4x and HC = 24. Find BC.

Answer 1

Answer: The last choice is correct
The function is a parabola U-shaped up... so it's vertex y-value is the lowest y-value of the function.
The inverse would just be the switching of the domain and range

Answer 2

The length of BC is 48 units.

Explanation:

Given information: Line g bisects line segment BC at Point H. BH = 4x and HC = 24.

It is given that line g bisects line segment BC at Point H. It means point H divides the line BC in two equal parts BH and HC.

`BH=HC`

`4x=24`

Divide both sides by 4.

`x=6`

The value of x is 6.

`BH=4x=6* 4=24`

The length of BC is

`BC=BH+HC` (Segment addition property)

`BC=24+24=48`

Therefore the length of BC is 48 units.