ajreese52 ajreese52
  • 19-09-2020
  • Mathematics
contestada

find the coordinates of B if the coordinates of A are (5,-4) and the midpoint of AB are (3,-2)

Respuesta :

unicorn3125
unicorn3125 unicorn3125
  • 19-09-2020

Answer:

           B(1, 0)

Step-by-step explanation:

A(5, -4)  ⇒  [tex]x_A=5,\quad y_A = -4[/tex]

M(3,-2)  ⇒   [tex]x_M=3,\quad y_M=-2[/tex]

Point M(3, -2) being the midpoint of AB means that  [tex]x_M-x_A=x_B-x_M[/tex]

[tex]3-5=x_B-3\\\\-2=x_B-3\\\\x_B=1[/tex]

and   [tex]y_M-y_A=y_B-y_M[/tex]

[tex]-2-(-4)=y_B-(-2)\\\\-2+4=y_B+2\\\\y_B=0[/tex]

Answer Link

Otras preguntas

Expansionists justified the idea of Manifest Destiny and the acquisition of new territory because they were spreading what ????? A . catholicism B . democracy
The election of Andrew Jackson is often considered the beginning of which modern political party ???
Ellen drove 357.9 miles. Her car gets about 21 miles per gallon. Which is the best estimate of how many gallons of gas Ellen used?
Carla earns $13 an hour cleaning house. How much will she earn if she works from 8:00 to 2:00?
Describe the impact that women made during World War II.
Name one plot conflict in the great Gilly Hopkins
Write the expression without the fraction bar. y to the 3rd power -------------------------- y to the 7th power
Point d is the centroid of triangle abc use the given information to find x. GD=2x-8 and GC=3x+3
how can you change linear equation in form ax+by=c to y=mx+b form and vice versa
x-(9x-10)+11=12x+3(-2x+1/3)