if the midpoint of line segment joining (4x,5)and (-1 , 5y) is (0,3x-1) then find the values of x and y
Answers
Answer:
the values of x and y is -1/4 and 3/5 respectively.
Step-by-step explanation:
Given
let AB is line segment
A = (4x,5) and B = (-1 , 5y)
& midpoint of line segment is C (0,3x-1)
That mean
AC = CB
by mid point formula
{ [ (x2-x1) /2 ] , [ (y2-y1) /2 ] } is { p, q }
where (p, q) is coordinator of mid-point
» { [ (-1-4x)/2 ] , [ (5y-5) / 2 ] is { 0, 3x-1 }
» { (-1-4x) / 2 }=0 | » { (5y-5) / 2 } = 3x-1
» -1 - 4x = 0 | » 5y-5 = 2(3x - 1)
» 4x = -1 | » 5y-5 = 6x - 2
» X = -1/4 | » 5y = 6x + 2
| » y = 2/5 * [(2x+1)]
| » y = 2/5 * [2.(-1/4)+2]
| » y = 2/5 * [(-1/2)+2]
| » y = 2/5 * [(-1+4) /2]
| » y = 2/5 * [3/2]
| » y = 2/5* 3/2
| » Y = 3/5