christopherberardi20 christopherberardi20
  • 04-02-2022
  • Mathematics
contestada

Point M is the midpoint of AB. If the coordinates of M are (2,8) and the coordinates of A are (10,12),what are the coordinates of B?

Respuesta :

jdoe0001 jdoe0001
  • 04-02-2022

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{10}~,~\stackrel{y_1}{12})\qquad B(\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ x + 10}{2}~~~ ,~~~ \cfrac{ y + 12}{2} \right)~~=~~\stackrel{M}{(2,8)}\implies \begin{cases} \cfrac{x+10}{2}=2\\[1em] x+10=4\\ \boxed{x=-6}\\[-0.5em] \hrulefill\\ \cfrac{y+12}{2}=8\\[1em] y+12=16\\ \boxed{y=4} \end{cases}[/tex]

Answer Link

Otras preguntas

is a piece of cloth a point, line, or plane?
How many magnesium ions are present in 5.36 x 10-4 mol of magnesium iodide?
Write equation in function form y-3x-11=0
What is the molecular formula of a compound made of 25.9% N and 74.1% O? a. NO  b. NO₂ c. N₂O  d. N₂O₅ e. N₂O4₄ It would be great if you could add a few words
What is the GCF of 80x3 and 30yx2??? (The 3and2 are exponets)
a couple wants to install a square mirror that has an area of 500 square inches.to the nearest tenth of an inch,what length of wood trim is needed to go aroun
Explain the connection, or relationship between a protagonist and an antagonist.
simplify expression.-3(k-4)-4(2k-8)
2h/3-1/4=1/3 solve and show your steps
Explain why a mixed number is not in the set of intergers or whole numbers