Question

Please answer asap!!

Point A is at –2 and point B is at 5. Which shows how to determine the point that will divide the segment into a 4:5 ratio using the formula x = (x2 – x1) + x1?
A. x = (4/9)(5 + 2) – 2
B. x = (4/5)(5 + 2) – 2
C. x =(4/9)(5 – 2) + 2
D. x = (4/5)(5 – 2) + 2

Answer 1

The answer is A, x = (4/9)(5+2) - 2! Hope that helps!

Answer 2

`x=(4)/(9) (5+2) -2`

Explanation:

Point A is at –2 and point B is at 5.

divide the segment into a 4:5 ratio using the formula x = (x2 – x1) + x1

Formula that divides the line segment is

`x=(a)/(a+b) (x_2-x_1) + x_1`

where a, b is the given ratio

a=4, b= 5, x1= -2 and x2= 5

Plug in all the values in the formula

`x=(4)/(4+5) (5-(-2)) -2`

`x=(4)/(9) (5+2) -2`