Question

If the midpoint of the line segment joining A(x,5) and B(x+1,6) is (3,5) then the value of x is

please find it for me ​

Answer 1

Answer:

x = 5/2

Step-by-step explanation:

The midpoint of two points

(x1 , y1) and (x2, y2) is Given by

$M = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )$

where M is the midpoint

From the question the midpoint is

( 3 , 5) and the points are

A(x,5) and B(x+1,6)

In order to find x find the midpoint of A and B and compare with the original midpoint

That's

$(3,5) = ( \frac{x + x + 1}{2} , \frac{5 + 6}{2 } )$

$(3,5) = (\frac{2x + 1}{2} , \frac{11}{2} )$

Comparing the x coordinate of the midpoint with the x coordinate of the unknown point

That's

$3 = \frac{2x + 1}{2}$

Cross multiply

6 = 2x + 1

2x = 5

Divide both sides by 2

x = 5/2

Hope this helps you