YunLing
YunLing YunLing
  • 31-03-2020
  • Mathematics
contestada

Given A(-2,3), B(m, 5) and C(-1,0). Find the possible
values of m if AB = 2AC.​

Respuesta :

kenlingdad kenlingdad
  • 31-03-2020

Answer:

m = 4 or m = -8

Step-by-step explanation:

length between 2 points = √(difference of x)² + (difference of y)²

AB² = (m - (-2))² + (5 - 3)² = (m + 2)² + 4 = m² + 4m +8

AC² = ((-1) - (-2))² + (0 - 3)² = 10

AB² = 4AC²

m² + 4m +8 = 40

m² + 4m - 32 = 0

(m - 4) (m + 8) = 0

m = 4 or m = -8

Answer Link

Otras preguntas

NEED ASAP PLEASE !! Billy drops a water balloon from the roof of his house. Since the balloon began with an original velocity of zero, how far above ground wa
How many days would it take 1 square meter of reef to accumulate 30 mmol of calcium carbonate???
what is the equivalent fraction of 56/8
Three is added to a number and then the sum is multiplied by for the result is 16 find the number
please help check if my answer if there correct
5.923 which is thousandths place
The area of a square living room is 256 ft 2. Which is the length of the room?
caricature artist is at the midpoint between the roller coaster and the ferris wheel what is the distance from the artist to the ferris wheel
what impact did the Black Death have on the society and economy of Europe
What American Indian groups lived inland from the Northeast coast in approximately 1500?