MathematicsA Midpoint?

Question

What is the X value (abscissa) of the MIDPOINT of the line segment whose endpoints are: (a,0), (0,d)

I'm not sure if I completed it right, If I am correct the answer would comout as (a/2)
Help me if I am wrong please!

Answer 1

The answer is a+(d-a)/2

plug in some numbers and draw it on graph paper to help see why

lets say a is 5 and d is 10.

then on the graph paper you have a line segment going from 5,0 to 10,0

How do you figure out the mid point? Well clearly it is between 5 and 10 on the x axis (since y is 0)

what number is between 5 and 10? well... the distance between 5 and 10 is 10-5 = 5. The half way distance is found by dividing that answer by 2 (d-a)/2 = 2.5

But you have to add that to the lower number (a=5 in my example) so, a+ 2.5 = 5+2.5 = 7.5


now, I assumed that -a- was the smaller number. It may be a bit more complicated if you cant make that assumption...but that excersize is left to the interested student.

Answer 2

You are correct

Midpoint Formula

x₁+ x₂/ 2 , y₁+ y₂/ 2

a + 0 / 2 . 0 + d / 2

a/2 , d/2

- - - - - - - - - - -- -s-

Answer 3

yes u r rite

Answer 4

you're right.