Question

If the midpoint between (x, 3) and (9, 9) is (7, 6), find the value of x.
Answer

-2

23

5

9

Answer 1

\(\bf \text{middle point of 2 points }\\
\left(\cfrac{x_2 + x_1}{2}\quad ,\quad \cfrac{y_2 + y_1}{2} \right)\\ \quad \\
(x,3)\qquad (9,9)\\ \quad \\
\left(\color{blue}{\cfrac{9 + x}{2}}\quad ,\quad \cfrac{9 + 3}{2} \right)\implies (\color{blue}{7},6)\qquad thus\\ \quad \\
\cfrac{9 + x}{2}=7
\)

solve for "x"

Answer 2

ok
9+x=14
x=5?

Answer 3

yeap

Answer 4

thanks <3 can you help me with 2 more?

Answer 5

ok

Answer 6

M is the midpoint of . The coordinates of A are (2,3) and the coordinates of M are (4.5,6). Find the coordinates of B.

Answer

(3.25, 4.5)

(7, 9)

(2.5, 3)

(11, 15)

Answer 7

M is the midpoint of segment AB*

Answer 8

actually I tried it, is it 3.25,4.5?

Answer 9

hmm one sec

Answer 10

I was a bit caught... up lemme set it

Answer 11

\(\bf (2,3)\qquad (x_2 ,y_2 )\\ \quad \\
\left(\cfrac{x_2 + 2}{2}\quad ,\quad \cfrac{y_2 + 3}{2} \right)\implies (4.5,6)\\ \quad \\
\cfrac{x_2 + 2}{2}=4.5\qquad \qquad \cfrac{y_2 + 3}{2}=6\)