Helpnowpls2
Helpnowpls2 Helpnowpls2
  • 19-09-2020
  • Mathematics
contestada

HELP ME QUICK: Suppose AB has one endpoint at A(0, 0). If (5, 3) is the midpoint of AB, what are the coordinates of point B?

Respuesta :

unicorn3125
unicorn3125 unicorn3125
  • 20-09-2020

Answer:

          B(10, 6)

Step-by-step explanation:

If P is midpoint of AB and:  [tex]A(0,\,0)\,,\quad P(5,\,3)\,,\quad B(x_B,\,y_B)[/tex]

then:

[tex]x_P-x_A=x_B - x_P\qquad\quad\ \wedge\qquad y_P-y_A=y_B - y_P\\\\ 5-0=x_B-5\qquad\quad\wedge\qquad 3-0=y_B -3\\\\ x_B=5+5\qquad\qquad\wedge\qquad\ \ y_B=3+3 \\\\ {}\quad x_B=10\qquad\qquad\wedge\qquad\qquad \ y_B=6[/tex]

Answer Link

Otras preguntas

A machine of a fast food restaurant produces a bag of French fries every minute, but half of them will be consumed every 10 minutes. If it is 08:00 now and ther
Match the descriptions with the historical figures that they describe.
What type of number is 1.471268…?
what is dandi salt march?​
ASAP!!! Digestion and other biological processes are controlled by enzymes. Amylase is an enzyme which breaks starch into glucose. A student investigated the e
The diagram shows two right-angled triangles, DEF and EFG. Work out the length of EG give your answer correct to 3 significant figures
400² = I don’t know what this is
Which information would most likely cause a company's stock price to go down?
42 67 68 70 71 78 79 80 81 84 86 86 89 99 99calculate the five number summary ​
What type of poem is this?