Question

if the midpoint of line segment joining (4x,5)and (-1 , 5y) is (0,3x-1) then find the values of x and y

Answer 1

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