Question

if mid point of(x,5) and (2,3) is (4,4),then the value of x is​

Answer 1

Answer:

if (a,b), (c,d) are two points then theri mid point is ((a+c)/2 , (b+d)/2)

so (x+2)/2 = 4

x+2 = 8

x =6

Step-by-step explanation:

Answer 2

The value of x is, 6

Given : The midpoint of (x,5) and (2,3) is (4,4)

To find : The value of x

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the value of x)

Here, we will be using the following mathematical formula.

If,

First point = (x1,y1)

Second point = (x2,y2)

Then,

Midpoint = [ {(x1+x2)/2} , {(y1+y2)/2} ]

In this case,

• (x1,y1) = (x,5)
• (x2,y2) = (2,3)

So,

The midpoint of the given two points will be :

= [(x+2)/2] , [(5+3)/2]

=[ {(x+2)/2} , 4 ] ...(i)

According to the data mentioned in the question,

Midpoint of the given two points = (4,4) ....(ii)

Comparing the abscissa of coordinate (i) and (ii), we get :

(x+2)/2 = 4

(x+2) = 4 × 2

(x+2) = 8

x = 8-2

x = 6

(This will be considered as the final result.)

Hence, the value of x is 6