brookie46 brookie46
  • 03-04-2018
  • Mathematics
contestada

The distance between the two points (4,2) and (8,k) is 5 units. Find value(s)of k

Respuesta :

jcherry99
jcherry99 jcherry99
  • 03-04-2018
d^2 = (x2 - x1)^2 + (y2 - y1)^2
d^2 = (8 - 4)^2 + (k - 2)^2
d = 5 so
5^2 = 4^2 + k^2 - 4k + 4
25 = 16 + k^2 - 4k + 4
25 = 20 + k^2 - 4k
0 = k^2 - 4k - 5
0 = (k - 5)(k + 1)
k has 2 answers
k - 5 = 0
k = 5
k + 1 = 0
k = - 1

The two answers are
(8, 5) and (8, -1) <<<< answer
Answer Link

Otras preguntas

Why did immigrants tend to group together in cities?
Two parents with dimples have a child with no dimples. The allele D for dimples is dominant. What are the possible genotypes of the parents? I. DD and Dd II. Dd
A certain animal in the zoo has consumed 39 pounds of food in six days. If it continues to eat at the same rate, in how many more days will its total consumptio
Indicate which pattern of evolution is shown by the many species of finches on the Galápagos Islands.
How many combinations of 3 students can a teacher choose from 32 students?   A. 96
one way that animals adapt to seasonal change
Prove identity tan 3x−tan 2x−tanx = tan 3xtan 2xtanx
Which of the following is most important in classifying two groups of bears into the same genus? A. similar diets B. similar genes C. similar habitat D. similar
What is the value of 6P6?  A.1  B.36  C.720  D.46,656
how much sperm does it take to make a baby?