Your question is poorly formatted; However, the correct question is:
Point A ( 3 , 4 ) and point M (5.5,0) is the midpoint of point A and point B. Determine the coordinates of B
Answer:
The coordinates of B is (8,-4)
Step-by-step explanation:
Given
Point A ( 3 , 4 )
Point M (5.5,0)
Required
Determine B
Since, M is the midpoint;
We'll solve this question using the following formula;
[tex]M(x,y) = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})[/tex]
Where [tex](x,y) = (5.5,0)[/tex] and [tex](x_1,y_1) = (3,4)[/tex]
Substitute values for x, y, x1 and y1 in the above formula;
This gives
[tex](5.5,0) = (\frac{3 + x_2}{2},\frac{4 + y_2}{2})[/tex]
By direct comparison, we have
[tex]5.5 = \frac{3 + x_2}{2}[/tex] and [tex]0 = \frac{4 + y_2}{2}[/tex]
Solving [tex]5.5 = \frac{3 + x_2}{2}[/tex]
Multiply both sides by 2
[tex]11 = 3 +x_2[/tex]
Subtract 3 from both sides
[tex]11- 3 = x_2[/tex]
[tex]x_2 = 8[/tex]
Solving [tex]0 = \frac{4 + y_2}{2}[/tex]
Multiply both sides by 2
[tex]0 = 4 + y_2[/tex]
Subtract 4 from both sides
[tex]0 - 4 = y_2[/tex]
[tex]y_2 = -4[/tex]
Hence;
The coordinates of B is (8,-4)
